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<strong>Dissociation</strong> <strong>Pressure</strong> <strong>of</strong> <strong>Natural</strong> <strong>Gas</strong> <strong>Hydrate</strong> <br />

TPG4510 Petroleum Production Specialization Project <br />

by <br />

Torbjørn Gjellesvik <br />

Trondheim <br />

December 2011


Acknowledgements <br />

This project could not have been completed had it not been for the help and input <strong>of</strong> <br />

others. I have encountered issues both where I have been in doubt regarding what to do <br />

and how to do it. Without the help <strong>of</strong> these people I would probably have struggled <br />

immensely to complete the project in time. <br />

First, I would like to thank Pr<strong>of</strong>essor Jon Steinar Gudmundsson for all his help in finding <br />

a suitable problem description and guidance along the way. Many <strong>of</strong> the resources I have <br />

used could not have been accessed without his help and some are crucial to the final <br />

result <strong>of</strong> this work. I would also like to thank for quick responses to any questions I <br />

might have had and good advice. <br />

Second, I would like to thank my fellow students, especially within petroleum <br />

production, for their input, thoughts and suggestions. The communication I have had <br />

with them has been motivational and a great help throughout the semester.<br />

<br />

ii


Abstract <br />

The dissociation pressure and temperature <strong>of</strong> natural gas determines when hydrate <br />

formation can take place. Initial formation <strong>of</strong> hydrate takes place at slightly higher <br />

pressures and lower temperatures due to a small amount <strong>of</strong> energy required for the first <br />

crystallization. The dissociation pressure is very valuable in planning steps to mitigate <br />

hydrate formation in oil and gas production. <br />

Several methods exist for calculating the dissociation pressure <strong>of</strong> natural gas hydrate, <br />

ranging from rigorous computer methods to simpler hand calculation methods. In this <br />

project, a comparison between computer models and hand calculation methods has <br />

been performed. Aspen HYSYS has been used as an example <strong>of</strong> available computer <br />

methods, whereas the correlation presented by Østergaard et al. (2000) and an updated <br />

version <strong>of</strong> the Makogon correlation (1981) has been selected as hand calculation <br />

methods. The ground for comparison is made by assuming HYSYS to be a reference <br />

point and investigating how well the hand calculation models correspond under <br />

different circumstances when applied to three typical mixtures <strong>of</strong> natural gas. <br />

Also, the effect <strong>of</strong> certain parameters on the dissociation pressure has been investigated, <br />

as well as a brief overview <strong>of</strong> currently used inhibitors in the industry. By varying the <br />

contents <strong>of</strong> N2, CO2 and H2S the results have been presented graphically. <br />

Results show that the Makogon correlation corresponds surprisingly well with results <br />

from HYSYS in many situations. The effects <strong>of</strong> N2 and CO2 have been identified by the <br />

Østergaard et al. correlation. Calculations performed by increasing H2S content also <br />

shows that it has a severe negative effect on the dissociation pressure <strong>of</strong> natural gas <br />

hydrate. <br />

<br />

iii


Table <strong>of</strong> Contents <br />

ACKNOWLEDGEMENTS.................................................................................................................................II <br />

ABSTRACT.......................................................................................................................................................III <br />

TABLE OF CONTENTS.................................................................................................................................. IV <br />

LIST OF TABLES ..............................................................................................................................................V <br />

LIST OF FIGURES.............................................................................................................................................V <br />

INTRODUCTION ..............................................................................................................................................1 <br />

PROJECT DESCRIPTION...................................................................................................................................................... 1 <br />

NATURAL GAS..................................................................................................................................................3 <br />

PROPERTIES......................................................................................................................................................................... 3 <br />

ECONOMIC AND ENVIRONMENTAL IMPORTANCE......................................................................................................... 4 <br />

NATURAL GAS HYDRATES...........................................................................................................................6 <br />

PROPERTIES......................................................................................................................................................................... 6 <br />

NATURAL OCCURRENCE.................................................................................................................................................... 7 <br />

HYDRATE INHIBITION........................................................................................................................................................ 8 <br />

CHEMICAL POTENTIAL ...................................................................................................................................................... 8 <br />

THE HAMMERSCHMIDT EQUATION................................................................................................................................. 9 <br />

DISSOCIATION PRESSURE ........................................................................................................................ 10 <br />

INFLUENCING PARAMETERS.......................................................................................................................................... 10 <br />

FIELDS AND GAS COMPOSITIONS........................................................................................................... 12 <br />

SHTOKMAN ....................................................................................................................................................................... 12 <br />

ORMEN LANGE ................................................................................................................................................................. 13 <br />

GENERIC ............................................................................................................................................................................ 14 <br />

CALCULATION METHODS ......................................................................................................................... 15 <br />

HYSYS............................................................................................................................................................................... 15 <br />

DERIVATION OF THE PENG-­‐ROBINSON EQUATION OF STATE................................................................................. 16 <br />

MAKOGON, ELGIBALY & ELKAMEL............................................................................................................................... 18 <br />

THE BAILLE-­‐WICHERT METHOD ................................................................................................................................. 21 <br />

RESULTS ......................................................................................................................................................... 22 <br />

MODEL COMPARISONS.................................................................................................................................................... 22 <br />

EFFECT OF H 2S AND MODEL APPLICABILITY .............................................................................................................. 24 <br />

DISCUSSION ................................................................................................................................................... 28 <br />

CONCLUSION ................................................................................................................................................. 32 <br />

REFERENCES ................................................................................................................................................. 33 <br />

APPENDIX A................................................................................................................................................... 36 <br />

MODEL COMPARISONS.................................................................................................................................................... 36 <br />

ØSTERGAARD ET AL. CORRECTION FOR N 2 AND CO 2 ................................................................................................ 37 <br />

EFFECT OF H 2S – HYSYS............................................................................................................................................... 38 <br />

EFFECT OF H 2S – ØSTERGAARD ET AL. ....................................................................................................................... 39 <br />

EFFECT OF H 2S – MAKOGON ET AL.............................................................................................................................. 40 <br />

<br />

iv


List <strong>of</strong> Tables <br />

Table 1: <br />

Table 2: <br />

Table 3: <br />

Table 4: <br />

Table 5: <br />

Coefficients for the Hammerschmidt equation, Ci. <br />

Ci-­‐constants used in the Østergaard et al. correlation. <br />

α-­‐constants used in the Østergaard et al. correlation. <br />

Field compositions. <br />

Inhibitor base price. <br />

List <strong>of</strong> Figures <br />

Figure 1: Overview <strong>of</strong> the biggest gas producing countries. <br />

Figure 2: Estimated future consumption <strong>of</strong> energy sources. <br />

Figure 3: Model comparison – Ormen Lange <br />

Figure 4: N2 and CO2 correction using the Østergaard et al. correlation -­‐ Shtokman <br />

Figure 5: Effect <strong>of</strong> H2S content. HYSYS results – Ormen Lange <br />

Figure 6: Effect <strong>of</strong> H2S content. Makogon et al. – Ormen Lange <br />

Figure 7: Effect <strong>of</strong> H2S content. Østergaard et al. – Ormen Lange <br />

Figure 8: Inhibitor vapor pressures. <br />

Figure A1: Model Comparison -­‐ Shtokman <br />

Figure A2: Model Comparison -­‐ Generic <br />

Figure A3: Model Comparison – Ormen Lange <br />

Figure A4: Østergaard <strong>Dissociation</strong> Curves – Shtokman <br />

Figure A5: Østergaard <strong>Dissociation</strong> Curves – Ormen Lange <br />

Figure A6: HYSYS Effect <strong>of</strong> H2S -­‐ Shtokman <br />

Figure A7: HYSYS Effect <strong>of</strong> H2S -­‐ Generic <br />

Figure A8: HYSYS Effect <strong>of</strong> H2S – Ormen Lange <br />

Figure A9: Østergaard et al. Effect <strong>of</strong> H2S -­‐ Shtokman <br />

Figure A10: Østergaard et al. Effect <strong>of</strong> H2S -­‐ Generic <br />

Figure A11: Østergaard et al. Effect <strong>of</strong> H2S – Ormen Lange <br />

Figure A12: Makogon et al. Effect <strong>of</strong> H2S -­‐ Shtokman <br />

Figure A13: Makogon et al. Effect <strong>of</strong> H2S – Generic <br />

Figure A14: Makogon et al. Effect <strong>of</strong> H2S – Ormen Lange <br />

<br />

v


Introduction <br />

<strong>Natural</strong> gas has a great upside for future applications. Faced with a growing worldwide <br />

demand for energy, while at the same time also faced with the issues <strong>of</strong> global warming, <br />

the consumption <strong>of</strong> natural gas is expected to grow in the future. The simple answer is <br />

because <strong>of</strong> two things: First, the worldwide reserves <strong>of</strong> natural gas exceed hose <strong>of</strong> crude <br />

oil by approximately 10%. Second, burning <strong>of</strong> natural gas as a source <strong>of</strong> energy emits <br />

less CO2 than alternate fossil fuels by 20-­‐40% per unit <strong>of</strong> energy consumed, making it <br />

more environmentally friendly (IEA, 2011). Therefore, as a substitute for coal and crude <br />

oil, natural gas represents a significant contribution in reducing climate gas emissions to <br />

the atmosphere. As governments strive to reduce emissions by as much as possible, it is <br />

easy to understand why the natural gas consumption is expected to grow. <br />

The aim <strong>of</strong> this project is first and foremost to try and answer the questions put forward <br />

in the problem description. As the title aptly describes, the subject <strong>of</strong> the project is the <br />

dissociation pressure <strong>of</strong> natural gas hydrate. <strong>Hydrate</strong>s are solids that are commonly <br />

encountered in the transportation <strong>of</strong> natural gas. They are very unfavorable as they can <br />

do severe damage to pipelines and equipment, and they are very hard to avoid because <br />

hydrate formation conditions <strong>of</strong>ten lie within the operating region <strong>of</strong> oil and gas <br />

production. <br />

Project Description <br />

“Oil and gas cannot be produced through <strong>of</strong>fshore pipelines without the prevention <strong>of</strong> <br />

hydrate formation. <strong>Hydrate</strong> forms due to high pressure and low temperature, typically 100 <br />

bara and 20°C. The exact hydrate formation point depends on the composition <strong>of</strong> the fluids <br />

involved; gas composition and water/brine composition. <br />

Computer and analytical methods have been developed to predict the dissociation pressure <br />

<strong>of</strong> natural gas hydrate. The dissociation pressure can be used to determine how much <br />

antifreeze needs to be added to prevent the formation <strong>of</strong> hydrate. The purpose <strong>of</strong> the <br />

present project is to investigate how the various parameters affect the dissociation <br />

pressure <strong>of</strong> hydrate, including gas composition, presence <strong>of</strong> acid gases and the salt content <br />

<strong>of</strong> the liquid water phase. The HYSYS code can be used and an attempt should be made to <br />

find out what theoretical method is used there. Available analytical methods should be <br />

<br />

1


used and compared to the results from HYSYS. Try to answer the question whether a <br />

mixture <strong>of</strong> antifreeze chemicals <strong>of</strong>fers any advantage in preventing the formation <strong>of</strong> <br />

hydrate” (Gudmundsson, 2011). <br />

The dissociation pressure is the required pressure for hydrates to start dissolving. For <br />

that reason, it is very valuable information to have in order to plan for avoidance and <br />

inhibition <strong>of</strong> hydrates. Not only does the dissociation pressure provide information <br />

about what it takes to dissolve already formed hydrates, but in reversing the point <strong>of</strong> <br />

view, it also determines the conditions where hydrates continue to form. Conditions for <br />

initial hydrate formation tends to be at lower temperatures and pressures than the <br />

dissociation pressure. This is because a small amount <strong>of</strong> energy is required for the first <br />

hydrate to crystallize. As soon as hydrate has formed, the dissociation pressure <br />

determines the continued formation. This clarifies why knowledge about the conditions <br />

for dissolving already formed deposits is important in order to avoid them in the first <br />

place. <br />

<br />

2


<strong>Natural</strong> <strong>Gas</strong> <br />

Properties <br />

To understand the concept <strong>of</strong> natural gas hydrates, one needs to have an idea <strong>of</strong> what <br />

natural gas really is and its application. This way, it is much easier to comprehend the <br />

safety, technical and economical challenges that hydrate formation represents in the <br />

petroleum industry. <br />

<strong>Natural</strong> gas occurs naturally and is <strong>of</strong>ten associated with production <strong>of</strong> crude oil. It is <br />

created through decomposition <strong>of</strong> organic material under high pressures and <br />

temperatures. Furthermore, fuel is its biggest application, whether as fuel for means <strong>of</strong> <br />

transportation or as a source <strong>of</strong> electricity for domestic heating and other appliances. <br />

The main components are the light hydrocarbon components: Methane (CH4), ethane <br />

(C2H6), propane (C3H6), n-­‐ and i-­‐butanes (C4H10) and n-­‐ and i-­‐pentanes (C5H12). Other <br />

heavier hydrocarbon components are also present in typical natural gasses, but they are <br />

not typical and <strong>of</strong>ten not in significant amounts. Non-­‐hydrocarbon components <strong>of</strong>ten <br />

present in natural gas include nitrogen (N2), carbon dioxide (CO2) and hydrogen sulfide <br />

(H2S) (Carroll, 2003). Moreover, natural gas is usually saturated with water vapor, and <br />

this is when the hydrate warning signs start flashing. Water is a requirement for <br />

hydrates to from and is further explained in the next section, which describes the <br />

properties <strong>of</strong> natural gas hydrate. <br />

A typical natural gas is significantly richer in methane than the other components. <br />

Methane content <strong>of</strong>ten lies in the region <strong>of</strong> 90%, depending on its origin. Non-­‐associated <br />

gas, which is gas normally present in the reservoir, tends to have higher methane <br />

content (90+%) than associated gas. Associated gas has vaporized, or flashed, out <strong>of</strong> <br />

solution from crude oil. This gas tends to have less than 90% methane content <br />

(Gudmundsson, 2011). According to the amount <strong>of</strong> methane, the ethane content in <br />

natural gas lies around 0-­‐10%, propane from 0-­‐5%, while the heavier components <br />

gradually decrease further. Non-­‐hydrocarbon components tend to amount to 0-­‐5% <strong>of</strong> <br />

the gas, with H2S content possibly reaching as high as 15%. Obviously, natural gas <br />

encompasses a very wide variety <strong>of</strong> compositions and it might be easier to look at it as <br />

gas produced for fuel and power generation purposes. <br />

<br />

3


With fuel being the number one application <strong>of</strong> natural gas, the non-­‐hydrocarbon gasses <br />

are considered unfavorable. They do not have any heating value, rendering them useless <br />

as fuels (Carroll, 2003). They are also rarely considered very valuable to other ends, <br />

although there are some exceptions. CO2 can, assuming the appropriate infrastructure, <br />

be re-­‐injected and used as means to build pressure in reservoir. H2S also serves some <br />

purpose in the manufacturing <strong>of</strong> artificial fertilizer or sulfur, but its value is very <br />

dependant on demand (www.snl.no, 2003). <br />

Economic and Environmental Importance <br />

The present estimated reserves <strong>of</strong> natural gas exceed those <strong>of</strong> crude oil by <br />

approximately 10%, in terms <strong>of</strong> energy content. The vast majority <strong>of</strong> reserves come from <br />

Russia, Iran and Qatar and amount to over half <strong>of</strong> the total world reserves. Norway’s gas <br />

reserves are about 4% <strong>of</strong> the total world reserves. The price <strong>of</strong> natural gas is calculated <br />

from energy content, not by volume. The most common unit is dollars per million British <br />

thermal units ($/MMBtu). One British thermal unit is the amount <strong>of</strong> energy required to <br />

heat one pound <strong>of</strong> liquid water from 60 F to 61 F under atmospheric pressure (1 atm) <br />

(www.snl.no, 2011). <br />

Figure 1: Overview <strong>of</strong> the biggest gas producing countries. <br />

The natural gas price is somewhat less volatile than that <strong>of</strong> crude oil. This is because the <br />

production is easier to regulate, making it more adaptable to current demand. However, <br />

it tends to follow the same trends as the oil price. <br />

<br />

4


There are several advantages with using gas compared to other fossil fuels, so there’s a <br />

significant upside to future applications. The perhaps biggest positive <strong>of</strong> natural gas is <br />

that it emits less CO2 than other fuels. When compared to coal and oil, natural gas emits <br />

40% and 20% less CO2 per unit <strong>of</strong> energy used. In power generation, modern gas <br />

turbines produce about half <strong>of</strong> what current coal-­‐fired plants do (IEA World Energy <br />

Outlook, 2011). <br />

Transportation <strong>of</strong> gas is easier and much more efficient in terms <strong>of</strong> volumes across <br />

distance. However, the present infrastructure needs to be improved in order to reach <br />

more people. Governments are constantly trying to find more environmentally friendly <br />

and sustainable sources <strong>of</strong> energy. Germany is a good example. By 2022, they’ve moved <br />

to decommission all <strong>of</strong> their nuclear power plants, although the grounds for the decision <br />

are from a safety perspective. The consequences <strong>of</strong> nuclear power generation became <br />

painfully obvious in 1986 by the Tschernobyl meltdown, and more recently by the <br />

Fukushima incident in Japan, January 2011, which is said to spark Germany’s sudden act <br />

towards decommission. Due to the many advantages over other fossil fuels, natural gas <br />

is a commodity expected to be consumed more and more in the future (See Fig. X). In <br />

order to reach EU’ goal <strong>of</strong> reducing total CO2 emissions by 20% by the year 2020, the use <br />

<strong>of</strong> certain fossil fuels has to decrease. Moving away from coal and crude oil, natural gas <br />

is a great substitute, reducing emissions quite substantially and being easier to <br />

transport. <br />

An interesting trend is that national gas consumption seems to follow the GPD <strong>of</strong> said <br />

nation one-­‐to-­‐one. Hence, for a 1% increase in GDP there’s also a 1% increase in gas <br />

consumption. Especially for the BRIC-­‐countries (Brazil, Russia, India and China), the <br />

population is becoming increasingly rich, leading more people to afford higher living <br />

standards. Higher energy consumption follows as a direct result and the demand <br />

increases. As long as the proper infrastructure is in place, gas can be an extremely <br />

valuable resource to countries in rapid growth as large supplies will be readily available <br />

at a low cost. Therefore, the IEA assumes that out <strong>of</strong> the currently available energy <br />

sources, gas consumption will increase the most in the years to come (IEA World Energy <br />

Outlook 2011). <br />

<br />

5


Figure 2: Estimated future consumption <strong>of</strong> energy sources. <br />

<strong>Natural</strong> <strong>Gas</strong> <strong>Hydrate</strong>s <br />

Properties <br />

A hydrate is a compound that resembles ice and consists <strong>of</strong> water and a second <br />

substance. This second substance can be a lot <strong>of</strong> things, but in natural gas hydrate, they <br />

are the light hydrocarbon components methane, ethane, propane and butane, and non-­hydrocarbons<br />

such as CO2 and H2S. <strong>Hydrate</strong> made up <strong>of</strong> these components and that <br />

forms in natural gas is the focus <strong>of</strong> this project. <strong>Hydrate</strong> is not ice, but has a very similar <br />

physical appearance. Whereas ice is crystalline frozen water that only occurs at <br />

temperatures <strong>of</strong> 0°C or less (assuming atmospheric pressure), hydrates occur at <br />

temperatures above the freezing point <strong>of</strong> water and at very high pressures (0-­‐25°C and <br />

≈100 bara). They also require the presence <strong>of</strong> these second substances, or host <br />

molecules, to form. The host molecules are smaller than the water molecules and small <br />

enough to fit inside crystalline structures formed by the water molecules. (The cages <br />

that are typical to hydrates are <strong>of</strong>ten referred to as “clathrates”. The word “clathrate” <br />

comes from the Latin “clathratus”, meaning “lattice bars”.) <br />

When the temperature and pressure conditions favor the formation <strong>of</strong> hydrate the water <br />

molecules start aligning in a certain pattern. The host molecule stabilizes the already <br />

organized water molecules and is what causes them to crystallize. The crystals <br />

<br />

6


effectively form a cage, held together by hydrogen bonding, trapping the host molecules. <br />

A hydrogen bond is the attractive intermolecular force between the polar water <br />

molecules. The two positively charged hydrogen atoms <strong>of</strong> a water molecule attract the <br />

negative oxygen atoms from other molecules, forming an intermolecular bond. In a <br />

pipeline, as soon as a hydrate crystal is formed, they will continue to travel along with <br />

the flow. This isn’t as problematic, so long as the crystals are small. Obviously, larger <br />

crystals can damage pipeline equipment such as valves and pumps and needs to be <br />

accounted for. Irregularities and equipment installed within the pipeline make good <br />

nucleation points and cause the hydrates to deposit (Gudmundsson, 2011). <br />

“Good nucleation sites for hydrate formation include an imperfection in the pipeline, a <br />

weld spot, or a pipeline fitting (elbow, tee, valve, etc.) Silt, scale, dirt and sand all make <br />

good nucleation sites as well” (Carroll, 2003). <br />

After nucleation is when the hydrate issues start to become major. Once hydrates have <br />

deposited and the conditions still favor continued formation, the deposits grow like a <br />

rolling ball <strong>of</strong> snow. This is very problematic as the deposits become large. Ultimately, it <br />

may lead to reduced pipe flow (due to reduced cross-­‐sectional flow area), damaged <br />

equipment and possibly plugged pipelines. Thus, issues caused by hydrates represent a <br />

safety hazard and <strong>of</strong>ten require costly and time-­‐consuming maintenance operations. <br />

<strong>Natural</strong> Occurrence <br />

A peculiar fact about natural gas hydrates is that they actually pose as a potential source <br />

<strong>of</strong> energy. They occur naturally where the pressure and temperature conditions are <br />

right, <strong>of</strong>ten below sea level, but also onshore in permafrost regions. The crystal <br />

structure <strong>of</strong> hydrates traps the host molecules within a cage. There is no connection <br />

between the water molecules and the trapped host molecule, sparking the thought <strong>of</strong> <br />

extracting the hydrocarbon components from within their hydrate cages. <strong>Natural</strong>ly <br />

occurring hydrates as a source <strong>of</strong> fossil fuel has still not prevailed as a sustainable <br />

source <strong>of</strong> energy. This is because <strong>of</strong> the environmental and geological effects <strong>of</strong> <br />

extracting these hydrates. Methane, which is the most common hydrocarbon found in <br />

hydrates is a powerful greenhouse gas and would have a severe effect on the <br />

environment. Removal <strong>of</strong> the naturally occurring hydrates is also hazardous because it <br />

<br />

7


affects the geological stability and could lead to subsea landslides etc. (Kvenvolden, <br />

1993). <br />

<strong>Hydrate</strong> Inhibition <br />

A lot <strong>of</strong> resources are spent towards predicting and preventing hydrate formation in the <br />

petroleum industry. Pipelines are commonly insulated over short distances to avoid <br />

severe temperature drops. Over longer pipeline intervals, large amounts <strong>of</strong> chemical <br />

inhibitors are injected to alter the thermodynamic properties <strong>of</strong> the fluid flow, causing <br />

the hydrate forming conditions to lie outside <strong>of</strong> the operating conditions. Obviously, to <br />

be able to safely predict the hydrate formation <strong>of</strong>fers many advantages. <br />

Chemical Potential <br />

The change in chemical potential (µ) over the course <strong>of</strong> the chemical reaction <strong>of</strong> hydrate <br />

formation is very interesting as it introduces a measure towards hydrate inhibition. A <br />

simple reaction for hydrate formation can be described as follows: <br />

H 2<br />

O( l) + <strong>Gas</strong> ↔ H 2<br />

O( hyd) <br />

Changing the reaction with respect to chemical potential and expressing it algebraically <br />

gives: <br />

Δµ = µ hyd<br />

H2 O<br />

l<br />

− µ H2 O<br />

− µ gas <br />

where µ hyd H20, µ l H20 and µgas is the chemical potential <strong>of</strong> hydrate, liquid water and gas, <br />

respectively. The chemical potential can be explained as the measure <strong>of</strong> a substance’s <br />

contribution to the function’s rate <strong>of</strong> change (Baierlein, 2001). The above reaction will <br />

only happen as long as Δµ < 0. However, the chemical potential <strong>of</strong> gas and hydrate <br />

cannot be changed, thus the chemical potential <strong>of</strong> liquid water is the only thing that can <br />

be altered. The expression for the chemical potential <strong>of</strong> water can be described as: <br />

l<br />

µ H2 O<br />

<br />

= µ H2 O<br />

<br />

+ RT ln( a H2 O ) = µ H2 O<br />

+ RT ln( γ x H2 O H 2 O ) <br />

where µ°H2O is the standard Gibbs free energy, <strong>of</strong>ten expressed as G°(T), R is the <br />

universal gas constant (8,314 J/K·mol), T is temperature (K), a is the activity <strong>of</strong> the <br />

substance, γ is specific gravity and x the molar fraction <strong>of</strong> water. Remembering that the <br />

<br />

8


eaction only goes if Δµ < 0, by reducing the mole fraction <strong>of</strong> water the chemical reaction <br />

will shift to the left and thereby prevent hydrate formation. This introduces water <br />

dilution as a means <strong>of</strong> hydrate inhibition, which is described (Sandengen, 2011 & <br />

Skogestad, 2009). <br />

Commonly used inhibitors in the petroleum industry today include: Methanol, ethanol, <br />

monoethylene glycol (MEG), diethylene glycol (DEG) and triethylene glycol (TEG). In <br />

fact, salt may also be used as an inhibitor as it too lowers the hydrate formation <br />

temperature. Temperature depression is the common denominator for all the chemical <br />

inhibitors. Unfortunately, injection <strong>of</strong> chemical inhibitors is not very effective, at least <br />

not economically speaking. Large quantities are <strong>of</strong>ten required causing the economics <strong>of</strong> <br />

inhibition to be considered. <br />

The Hammerschmidt Equation <br />

There exist simple methods to figure out the quantity <strong>of</strong> chemical inhibitor needed in <br />

order to obtain a certain temperature depression. The Hammerschmidt equation is a <br />

widely used example <strong>of</strong> such a method. A prerequisite for the equation is to have <br />

information about the hydrate dissociation for the given mixture <strong>of</strong> fluid. This is because <br />

the Hammerschmidt equation only computes the temperature depression by injecting a <br />

certain amount <strong>of</strong> inhibitor. Assuming knowledge about the hydrate dissociation <br />

conditions, the equation is used to determine the quantity <strong>of</strong> inhibitor needed. The <br />

Hammerschmidt equation: <br />

ΔT =<br />

M i<br />

C i<br />

W i<br />

( )<br />

100 − W i<br />

where ΔT is the temperature depression caused by the inhibitor, Ci is a constant <br />

depending on type <strong>of</strong> inhibitor (see Table 1), Mi is the molecular weight <strong>of</strong> the inhibitor <br />

and Wi is the weight fraction <strong>of</strong> inhibitor. Turning the equation around, the <br />

Hammerschmidt equation becomes: <br />

W i<br />

=<br />

100M i ΔT<br />

C i<br />

+ M i<br />

ΔT ( )<br />

Hence, as long as the required temperature depression is known, the weight fraction or <br />

inhibitor can easily be obtained. <br />

<br />

9


Table 1: Coefficients for the Hammerschmidt equation, Ci. <br />

<strong>Dissociation</strong> <strong>Pressure</strong> <br />

The dissociation pressure <strong>of</strong> natural gas hydrate is the pressure at which the hydrates <br />

first start to dissolve. Knowledge about when hydrates dissolve is used to predict when <br />

hydrates can be expected to form. This is somewhat <strong>of</strong> an oxymoron but still the most <br />

accurate way <strong>of</strong> identifying when the actual formation starts. In order for hydrates to <br />

form, the natural gas mixture needs to be supersaturated with water, meaning it <br />

contains more water vapor than actually possible to solve in the gas mixture. This is the <br />

most important condition needed for continued formation. However, if no hydrates are <br />

already present in the mixture, the conditions need to favor nucleation or crystallization. <br />

This generally means additional cooling, as hydrate forms at low temperatures. <br />

If no hydrates have crystallized at the initial conditions, the first record <strong>of</strong> hydrates <br />

would occur under the nucleation or crystallization conditions. Under these conditions, <br />

the temperature would be lower than what is required for already formed hydrate <br />

deposits to grow (Gudmundsson, 2011). So, consider the case where hydrates are <br />

already present. <strong>Dissociation</strong> will only happen as soon as the natural gas mixture is <br />

undersaturated with water. The temperature at which the hydrates start to dissolve is in <br />

fact the first point where hydrates can safely be expected. <br />

Influencing Parameters <br />

There are many parameters that affect the specific dissociation pressures and <br />

temperatures. Especially gas composition, and thereby gas gravity, influences <br />

temperatures and pressures needed to dissolve natural gas hydrate. For the <br />

<br />

10


hydrocarbon hydrate formers, the lighter the component, the higher the dissociation <br />

pressure tends to be. Of the non-­‐hydrocarbon formers commonly present in natural gas, <br />

N2 exhibits a higher dissociation pressure than CO2 and H2S, respectively (Carroll, 2003). <br />

Both CO2 and H2S are Type 1 hydrate formers and regarded as acid components. N2 is a <br />

Type 2 former and an inert component, meaning it is chemically inactive. Therefore, <br />

increasing the amount <strong>of</strong> acid components causes the mixture to contain more hydrate <br />

formers, thus increasing the potential for hydrate formation. Conversely, high contents <br />

<strong>of</strong> non-­‐hydrate formers will make the mixture less prone to hydrate formation. The fact <br />

that the non-­‐formers in natural gas tend to be the heavier hydrocarbons further reduce <br />

the possibility <strong>of</strong> hydrate formation because <strong>of</strong> their tendency to liquefy at typical <br />

hydrate forming conditions for natural gas. Although liquid components do not <br />

theoretically exclude the possibility <strong>of</strong> hydrates forming (liquid phase hydrate formation <br />

is entirely plausible), the conditions for such hydrates to form are different from than <br />

the conditions for gas hydrates. <br />

Salinity has also shown to influence the dissociation temperature <strong>of</strong> hydrates. For pure <br />

water, salinity will stretch the temperature scale in both ends, meaning it will freeze at <br />

lower temperatures than usual, and boil at temperatures higher than usual. In the paper <br />

presented by Mohammadi & Richon (2007), a similar approach to the problem is used to <br />

investigate the effects <strong>of</strong> salinity on the hydrate dissociation temperature, and thus, <br />

dissociation pressure. <br />

Salt lowers the hydrate formation temperature and following correlation applies for <br />

saline water temperature correction: <br />

T = T 0<br />

− 2,65ΔT b <br />

T is the hydrate dissociation temperature, T0 is the dissociation temperature for distilled <br />

water and ∆Tb is the boiling point elevation <strong>of</strong> the aqueous solution for distilled water <br />

under atmospheric pressure. The authors <strong>of</strong> the paper also recommend the Østergaard <br />

et al. correlation, which is described later, as a suitable way <strong>of</strong> obtaining the dissociation <br />

temperature in the presence <strong>of</strong> distilled water (Mohammadi & Richon, 2007). Due to <br />

lack <strong>of</strong> data on boiling point elevations due to salinity, the effect <strong>of</strong> salinity is simply <br />

described in this project without case examples or simulations <strong>of</strong> any kind. <br />

<br />

11


Fields and <strong>Gas</strong> Compositions <br />

Shtokman <br />

The Shtokman Field is a significant gas field by world comparison and lies on the <br />

Russian Arctic Shelf 555 km northeast <strong>of</strong> Murmansk. Its reserves are estimated to be <br />

somewhere in the region <strong>of</strong> 3,8 trillion cubic meters and about 53,4 million tons <strong>of</strong> gas <br />

condensate. The field is actually somewhat larger (3,9 trillion cubic meters gas and 56 <br />

million tons <strong>of</strong> condensate), but by reserves it is referred to the volumes Gazprom, <br />

which is the field operator, can reach within the area they have a license. <br />

Gazprom owns the license to operate the Shtokman field through one <strong>of</strong> its subsidiaries. <br />

The project <strong>of</strong> developing and operating the field is divided into three phases. In Phase 1, <br />

other companies also take part in the field development. Gazprom, Total E&P and Statoil <br />

(formerly StatoilHydro) are stakeholders in Shtokman Development AG, which is the <br />

company in charge <strong>of</strong> developing Phase 1 <strong>of</strong> the Shtokman field. Gazprom, Total E&P and <br />

Statoil hold 51%, 25% and 24% <strong>of</strong> the stakes in the company, respectively. <br />

Phase 1 encompasses all the preparations from drilling to production, and the initial <br />

field development. As <strong>of</strong> the first quarter <strong>of</strong> 2011, the two required drilling rigs are <br />

completed. A total <strong>of</strong> six subsea templates, each with four well slots, have already been <br />

planned for. <br />

The Shtokman field will be operated utilizing floating production units (FPSOs/FPUs). <br />

The FPUs are connected to the subsea templates via flexible risers. The produced <br />

volumes are processed aboard the FPUs before they are sent back to the seafloor and <br />

into pipelines. The pipelines will carry the gas and condensate onshore over the vast <br />

distance <strong>of</strong> 555 km to the planned gas treatment unit (GTU) in Zavalishina bay in <br />

northwestern Russia (Gazprom, 2011). <br />

<br />

12


Ormen Lange <br />

Ormen Lange is the second largest gas field in Norway, only beaten by the Troll field, and <br />

the third largest in Europe. It is located <strong>of</strong>fshore in the Møre basin about 120 km <br />

northwest <strong>of</strong> Kristiansund in the southern part <strong>of</strong> the Norwegian Sea. It can be classified <br />

as a deepwater field as the water depths lie between 800 – 1100 meters. The field was <br />

discovered in 1997, and put in production on the 13 th <strong>of</strong> September 2007. Fairly new <br />

technology is used in the production <strong>of</strong> the field. As <strong>of</strong> October 27 2011, there are 16 <br />

producing wells currently in operation connected to 3 subsea templates. Planned <br />

development <strong>of</strong> the Ormen Lange field accounts suggests that a total <strong>of</strong> 24 producing <br />

wells are to be drilled. This number is subject to change as the field is developed (Norske <br />

Shell, 2011). <br />

Norske Shell is the field operator but a number <strong>of</strong> entities are licensees in the field. <br />

These include Shell (17%), ExxonMobil (7%), DONG (10%), Statoil (29%), Petoro (37%) <br />

(NPD, 2011). <br />

The reservoir itself lies in the “Egga” formation and consists <strong>of</strong> Paleocene sandstone at <br />

depths <strong>of</strong> 2700 – 2900 meters subsurface. The produced gas is transported across the <br />

120 km from wellhead to shore in two multiphase subsea pipelines. The conditions are <br />

rather extreme with sub-­‐zero water temperatures at seabed (Norske Shell, 2011). <br />

Hence, hydrate formation is very plausible and relevant to the successful operation <strong>of</strong> <br />

this field. <br />

<br />

13


Generic <br />

The third composition I’ve chosen to include in my work is a fictional natural gas blend. <br />

It is rich in methane and is meant to represent a typical cut <strong>of</strong> natural gas. <br />

<strong>Natural</strong> gas is a wide term and can incorporate a variety <strong>of</strong> different compositions and <br />

still fall under the category. It is naturally occurring, <strong>of</strong>ten associated with crude oil and <br />

used as fuel. The components present in a typical natural gas are light hydrocarbons: <br />

methane, ethane, propane, butanes and pentanes. Other heavier hydrocarbon <br />

components may be present, but usually in vary small quantities. <strong>Natural</strong> gas may also <br />

contain some non-­‐hydrocarbons, specifically CO2, N2 and H2S. Wet natural gas is usually <br />

saturated with water, and this is where the signs <strong>of</strong> possible hydrate formation really <br />

start to flash. <br />

The so-­‐called generic composition I’ve used is determined by information in lecture <br />

notes from TPG4140 <strong>Natural</strong> <strong>Gas</strong> (Gudmundsson, 2011). <br />

<br />

14


Calculation Methods <br />

A few methods for producing the dissociation curve for natural gas hydrate is selected <br />

for comparison in this project. Some are computer simulation models, such as <br />

AspenTech’s HYSYS s<strong>of</strong>tware; others are simpler and performed by hand calculations. In <br />

the following segment the various methods are explained in more detail. <br />

HYSYS <br />

Aspen HYSYS is a process modeling s<strong>of</strong>tware developed by Aspen Technologies Inc. <br />

AspenTech is a company that develops s<strong>of</strong>tware exclusively for the process industry. <br />

“Aspen HYSYS is a market-leading process modeling tool for conceptual design, <br />

optimization, business planning, asset management, and performance monitoring for oil & <br />

gas production, gas processing, petroleum refining, and air separation <br />

industries”(AspenTech, 2011). <br />

The first step in using HYSYS is to input the necessary components. HYSYS already <br />

contains a database <strong>of</strong> some 1500 components, making it easy to pick and choose the <br />

specific needed components. In the <strong>of</strong>f chance that HYSYS does not contain a particular <br />

component, the s<strong>of</strong>tware <strong>of</strong>fers the opportunity to construct hypothetical components <br />

based on accurate estimations. The inherent components are calculated based on <br />

comprehensive experimental data, such that they correspond as accurately as possible <br />

to real life situations. <br />

After specifying the component list, the composition is put directly into the program, <br />

and normalized should the total mole fraction be unequal to one. The normalize option <br />

preserves the ratio between each component, but changes the mole fractions such that <br />

the total mole fraction amounts to one. <br />

Fluid package selection is the required third step before HYSYS can perform any <br />

simulations. The fluid package contains information about the physical and flash <br />

properties <strong>of</strong> components. It determines the relation between each component and how <br />

they react together. <br />

The Peng-­‐Robinson fluid package is selected for the HYSYS simulations, as this is the <br />

preferred fluid package for hydrocarbon mixtures. The Peng-­‐Robinson equation <strong>of</strong> state <br />

<br />

15


is recommended for oil, gas and petrochemicals because it calculates with a high degree <br />

<strong>of</strong> accuracy the properties <strong>of</strong> single-­‐phase, two-­‐phase and three-­‐phase systems. It is <br />

ideal for Vapor-­‐Liquid-­‐Equilibrium (VLE) calculations over a range <strong>of</strong> hydrocarbon <br />

systems (Aspen HYSYS Simulation Basis Manual, 2011). <br />

Derivation <strong>of</strong> the Peng-­‐Robinson Equation <strong>of</strong> State <br />

The Peng-­‐Robinson equation <strong>of</strong> state is a modification <strong>of</strong> the Redlich-­‐Kwong equation <strong>of</strong> <br />

state, which again is a modification <strong>of</strong> the van der Waals equation from 1873. This <br />

section covers the basic derivation <strong>of</strong> the Peng-­‐Robinson equation, which is the base for <br />

the calculations performed by HYSYS. The derivation is included as theoretical <br />

background information for the HYSYS calculations and can be found in the original <br />

publication by Peng & Robinson (1976). <br />

The basic equation is as follows: <br />

P = RT<br />

v − b −<br />

a( T )<br />

v(v + b) + b(v − b)<br />

Eq. 1 <br />

where P is pressure, R is the universal gas constant, T is temperature, v is the molar <br />

volume, a(T) is the attraction parameter and b is the van der Waals covolume. The van <br />

der Waals covolume is defined as: “The constant b in the van der Waals equation, which is <br />

approximately four times the volume <strong>of</strong> an atom <strong>of</strong> the gas in question multiplied by <br />

Avogadro's number” (McGraw-­‐Hill, 2011). The molar volume is determined by the <br />

fraction on molar mass over density: <br />

v = M ρ<br />

Eq. 2 <br />

Eq. 1 can be rewritten as <br />

Z 3 − (1− B)Z 2 + (A − 3B 2 − 2B)Z − (AB − B 2 − B 3 ) = 0 <br />

Eq. 3 <br />

where <br />

A =<br />

aP<br />

R 2 T 2<br />

B = bP<br />

RT<br />

Z = Pv<br />

RT<br />

Eq. 4 <br />

Eq. 5 <br />

Eq. 6 <br />

<br />

16


At the critical temperature (Tc), the attraction parameter (a) and van der Waals <br />

covolume (b) are given by <br />

a( T c ) = 0, 45724 R2 2<br />

T c<br />

P c<br />

b( T c ) = 0,007780 RT c<br />

P c<br />

Eq. 7 <br />

Eq. 8 <br />

For all other temperatures, a and b are defined as <br />

( ) = a( T c ) !" ( T r<br />

,# )<br />

( ) = b( T c )<br />

a T<br />

b T<br />

Eq. 9 <br />

Eq. 10 <br />

where Tr is the reduced temperature and given by <br />

T r<br />

= T T c<br />

Eq. 11 <br />

The scaling factor (α) , needed in eq. 8, is given by <br />

1<br />

α<br />

1<br />

2<br />

⎛ ⎞<br />

2<br />

= 1 +κ 1 − T r<br />

⎝<br />

⎜<br />

⎠<br />

⎟ <br />

Eq. 12 <br />

and the characteristic constant (κ) through <br />

κ = 0,037464 + 1,54226ω − 0,26992ω 2<br />

Eq. 13 <br />

ω is the acentric factor, the value <strong>of</strong> which is needed to solve the equation. <br />

For the full derivation <strong>of</strong> the Peng-­‐Robinson equation, I advise the reader to look into <br />

the original publication by Peng & Robinson (1976). <br />

<br />

17


Makogon, Elgibaly & Elkamel <br />

The first, and simplest, hand calculation used in this project is one developed by Yuri F. <br />

Makogon (1981) and further modified in the work <strong>of</strong> Ahmed A. Elgibaly & Ali M. Elkamel <br />

(1997) as described in J. J. Carroll’s “<strong>Natural</strong> <strong>Gas</strong> <strong>Hydrate</strong>s” (2003). <br />

In his book, “<strong>Hydrate</strong>s <strong>of</strong> <strong>Natural</strong> <strong>Gas</strong>”, Makogon presents several expressions for the <br />

relationship between pressure and temperature for hydrate formation in pure <br />

components and select natural gasses. The expressions all follow the same form, based <br />

on experimental evidence that the relationship between pressure and temperature for <br />

hydrate dissociation can be described by the following equation: <br />

log P = α ( T + kT 2<br />

) + β <br />

Makogon presents the following expression as applicable for hydrocarbons in the <br />

temperature range <strong>of</strong> 0 – 25 °C: <br />

log P = β + 0,0497( T + kT 2<br />

) <br />

where β and k are obtained graphically in a separate plot versus relative density. <br />

However, both β and k can be calculated as a function <strong>of</strong> gas gravity and put into a <br />

slightly modified expression <strong>of</strong> P (Elgibaly & Elkamel, 1997). The expressions are as <br />

follows: <br />

β = 2,681− 3,811γ + 1,679γ 2<br />

k = −0,006 + 0,011γ + 0,011γ 2<br />

The modifications to the original expression by Makogon are made to fit natural gases <br />

better, whereas the original expression applies to pure hydrocarbon gases. The <br />

calculated values <strong>of</strong> β and k can be used in the modified expression <strong>of</strong> P (Carroll, 2003): <br />

log P = β + 0,0497( T + kT 2<br />

) − 1 <br />

with P in MPa and T in °C. Although this method is not developed for sour gasses, it is <br />

included in order to determine the degree <strong>of</strong> uncertainty when applied to sour gasses. It <br />

is a simple method, and if the errors are small it can very well serve a purpose <strong>of</strong> <br />

providing a good initial guess as to when hydrates can be expected to form.<br />

<br />

18


K.K. Østergaard et al. <br />

Like many <strong>of</strong> the other hand calculation methods, the correlation developed by <br />

Østergaard et al. (2000) is based on gas gravity. It is applicable for a range <strong>of</strong> fluids, from <br />

black oils to lean natural gas. It differs from many <strong>of</strong> the other available methods by the <br />

fact that it accounts for sour gas in CO2, and inert gas in N2. It is important to note that <br />

CO2 is the only sour gas that the correlation is designed to handle. An attempt was made <br />

to correlate the effects <strong>of</strong> H2S, but not it was unsuccessful. As opposed to HYSYS, this <br />

method requires few initial inputs: <strong>Gas</strong> gravity and mole fraction <strong>of</strong> components. <br />

It is noted that the correlation itself is based on thermodynamic modeling rather than <br />

experimental data. The authors state the reasons for this being lack <strong>of</strong> such <br />

experimental data and the expected uncertainties <strong>of</strong> the data could very well render the <br />

relationship between pressure and temperature impossible to correlate. The correlation <br />

ignores the effect <strong>of</strong> heavy hydrate formers (C6+), also due to lack <strong>of</strong> reliable data. <br />

However, at least for this work, the effect <strong>of</strong> the heavier hydrate components is assumed <br />

to be very small due to low concentrations. <br />

The work <strong>of</strong> Østergaard et al. resulted in the following correlation: <br />

⎡ ( ) T + c 6<br />

(γ + c 7<br />

) −3 + c 8 F m<br />

+ c 9<br />

F 2 m<br />

+ c 10<br />

P HC<br />

= exp<br />

⎣<br />

c 1<br />

(γ + c 2<br />

) −3 + c 3<br />

F m<br />

+ c 4<br />

F 2 m<br />

+ c 5<br />

where PHC is the hydrate dissociation pressure (kPa), T is temperature (K) and γ the <br />

specific gravity <strong>of</strong> the gas. ci are constants, given in Table 2 below, and Fm is the molar <br />

ratio between non-­‐hydrate formers and hydrate formers. Hence, hydrate formers are <br />

weighted more in this correlation compared to pure gravity correlations. <br />

⎤<br />

⎦<br />

<br />

19


Table 2: Ci-constants used in the Østergaard et al. correlation. <br />

The correlation doesn’t yet account for CO2 and N2. The effect <strong>of</strong> these components <br />

comes into play through correction factors (BCO2 & BN2), which are multiplied with the <br />

dissociation pressure calculated for the sweet gas. <br />

B i<br />

= ( α 0,i<br />

F m<br />

+ α 1,i ) f k<br />

+ 1.000 <br />

where i = CO2, N2. fi is the component mole fraction. The constants α0,i and α1,i are given <br />

in Table 3 below. Hence, the corrected dissociation pressure is obtained: <br />

P( HC +CO2 + N 2 ) = P ⋅ B HC CO 2<br />

⋅ B N2<br />

Table 3: α-constants used in the Østergaard et al. correlation. <br />

Applying the corrected dissociation pressure above as a function <strong>of</strong> temperature, the <br />

hydrate dissociation curve for the given gas can be calculated. <br />

<br />

20


The Baille-­‐Wichert Method <br />

The Baille-­‐Wichert method is a hand calculation method developed to enable hydrate <br />

prediction in sour gasses. It is the only hand calculation method found that incorporates <br />

the presence <strong>of</strong> H2S when calculating the hydrate forming conditions. However, no <br />

calculations have been preformed using this method, and it is not represented in the <br />

results section. <br />

The method itself is gravity based and utilizes charts that are not exactly <br />

straightforward to use. Therefore, the Baille-­‐Wichert method is very sensitive to error <br />

when reading these charts. <br />

The Baillie-­‐Wichert method is not used in this project for a couple <strong>of</strong> reasons. First, it is <br />

an iterative method, meaning it is extremely tedious to calculate the correct pressures <br />

over a range <strong>of</strong> temperatures, which is required in order to get a hydrate dissociation <br />

curve. The fact that the method relies on the use <strong>of</strong> charts also excludes the possibility <strong>of</strong> <br />

designing a simple program to perform the calculations because new values have to be <br />

read manually from the chart for each iteration step. The second reason the Baillie-­‐<br />

Wichert method is considered inapplicable is that the charts are really hard to read for <br />

the three example gas mixtures. The method is applicable to gasses with a specific <br />

gravity between 0,6 -­‐1,0, whereas the Shtokman, generic and Ormen Lange mixtures <br />

have specific gravities <strong>of</strong> 0,587, 0,581 and 0,625, respectively. Since the specific gravities <br />

are at the lower limit <strong>of</strong> the applicable specific gravities, the chart is very difficult to read <br />

and there is much uncertainty related to the obtained values. <br />

Although the Baillie-­‐Wichert method is not used, it is included in this project as a sole <br />

example <strong>of</strong> a hand calculation method that incorporates the effects <strong>of</strong> H2S in the <br />

calculation results. It is also highlighted that the method can be much more useful if the <br />

problem at hand is to determine whether or not hydrates can be expected to form at <br />

given specific conditions. <br />

<br />

21


Results <br />

As described in the problem statement, there is more than one purpose <strong>of</strong> this project. <br />

Therefore, this section is divided into several parts, covering how well the analytical <br />

models correspond with the computer model (HYSYS), what parameters affect the <br />

dissociation pressure most and describing how acid components alter the hydrate <br />

forming conditions. Only examples are given in this section. For the complete results <br />

please refer to Appendix A. <br />

Model comparisons <br />

Ideally, the three models (Makogon et al., Østergaard et al. and HYSYS) should give quite <br />

similar results, though some deviations have to be expected. The calculations are <br />

performed using the same gas compositions and conditions for each model. The gas <br />

compositions for Shtokman, Generic and Ormen Lange are given below: <br />

<strong>Gas</strong> Compositions <br />

Component [xi] Shtokman Generic Ormen Lange <br />

C1 0.9540 0.9600 0.9251 <br />

C2 0.0170 0.0300 0.0345 <br />

C3 0.0050 0.0050 0.0122 <br />

C4 (i + n) 0.0026 0.0030 0.0059 <br />

C5 (i + n) 0.0034 0.0020 0.0148 <br />

N2 0.0130 0.0000 0.0034 <br />

CO2 0.0050 0.0000 0.0043 <br />

H2S 0.0000 0.0000 0.0000 <br />

Total 1.0000 1.0000 1.0000 <br />

Table 4: Field compositions. <br />

None <strong>of</strong> the gases contain significant amounts <strong>of</strong> acid components and all contain fairly <br />

high amounts <strong>of</strong> methane. The hydrate formers’ mole fraction make up 97,86%, 99,80% <br />

and 97,77% <strong>of</strong> the total mole fraction, respectively. Hence, hydrate formation is very <br />

plausible in every case. <br />

<br />

22


When comparing the three models, HYSYS is considered a reference point, as the <br />

calculations obtained from this model are more comprehensive and thus provides a <br />

more accurate result. Thereafter, it is interesting to see how the correlations presented <br />

by Østergaard et al. and Makogon et al. measure against each other and against the <br />

HYSYS results. Both <strong>of</strong> the analytical models are designed for natural gases, the Makogon <br />

et al. correlation being the easiest to use, whereas the Østergaard et al. correlation is <br />

better suited to handle acid components. <br />

Figure 3: Model comparison – Ormen Lange <br />

From the curve above, and considering results from the Ormen Lange and generic <br />

natural gas found in Appendix A, the Makogon et al. correlation is surprisingly accurate <br />

for low temperatures. As the temperature increases, it deviates from the HYSYS results, <br />

underestimating the dissociation pressure. The Østergaard et al. correlation also seems <br />

to underestimate the dissociation pressure, though to a greater extent for low <br />

temperature cases. As the temperature increases, the Østergaard et al. dissociation <br />

curve approaches and intersects the Makogon et al. dissociation curve. <br />

<br />

23


From the results, the correlation by Makogon et al. is preferable for sweet gas. For sour <br />

gas, the results may not be the same, keeping in mind that the Makogon et al. correlation <br />

isn’t designed to handle such compositions. <br />

The correlation presented by Østergaard et al. (2000) is designed to correct for presence <br />

Figure 4: N2 and CO2 correction using the Østergaard et al. correlation - Shtokman <br />

<strong>of</strong> CO2 and N2. And below a curve showing the correction for CO2 and N2 is presented. <br />

As can be seen from the curve, the correction is only slight. However, this is mainly due <br />

to the low CO2 and N2 content <strong>of</strong> the Shtokman gas. <strong>Gas</strong> from Ormen Lange also contains <br />

CO2 and N2, but even smaller quantities, so the correction correspondingly small. The <br />

generic gas mixture does not contain any CO2 or N2; hence there is no correction to be <br />

made. <br />

Effect <strong>of</strong> H 2 S and model applicability <br />

As the effects <strong>of</strong> CO2 and N2 are described both in Gudmundsson’s manuscript for his <br />

book on flow assurance (2010) and in the paper presented by Østergaard et al. (2000), <br />

the effects <strong>of</strong> H2S has been investigated closer to get an idea <strong>of</strong> how it affects the natural <br />

gas hydrate dissociation pressure. By varying the H2S content <strong>of</strong> the three gases, the <br />

<br />

24


effects are displayed by calculating the dissociation curve for each case. The results from <br />

HYSYS are the only results that can be trusted, but the same approach has been used <br />

with both the Makogon et al. and Østergaard et al. method in order to see how well they <br />

correspond. <br />

With H2S mole fractions <strong>of</strong> 0%, 1%, 10% and 20% the curves below are produced by <br />

HYSYS. The compositions are assumed to be reasonable based on historical data as <br />

described in Carroll (2003) and Elshahawi & Hashem (2005). <br />

Figure 5: Effect <strong>of</strong> H2S content. HYSYS results – Ormen Lange <br />

Clearly, H2S facilitates the formation <strong>of</strong> hydrates in natural gas. As the H2S content <br />

increases, the curve shifts such that the dissociation occurs at higher temperatures. The <br />

hydrate dissociation curves account for all types <strong>of</strong> hydrates that form, not only the <br />

hydrates formed by hydrocarbon hydrate formers. Increasing the fraction <strong>of</strong> hydrate <br />

formers by adding H2S, which is a Type 1 hydrate former, might be a valid explanation <br />

for the significant negative effect it has on prevention <strong>of</strong> hydrate formation for a given <br />

gas composition. Also, the effect <strong>of</strong> the non-­‐formers becomes less significant due to the <br />

non-­‐former mole fraction being reduced. <br />

<br />

25


It is hard to predict, and not always logical, what type <strong>of</strong> hydrate that will form in <br />

natural gas mixtures. For instance, methane and ethane, which are both Type 1 hydrate <br />

formers, will form Type 2 hydrates in a mixture. Mixtures containing non-­‐formers are <br />

hard to predict because the non-­‐formers <strong>of</strong>ten are heavy hydrocarbons. Therefore, the <br />

mixture’s hydrate dissociation pressure depends on the non-­‐formers’ tendency to <br />

liquefy. <strong>Hydrate</strong>s may still form in a liquid, but at different conditions (Carroll, 2003). <br />

The increasing mole fraction <strong>of</strong> light hydrocarbon-­‐formers may be a good explanation as <br />

to why hydrates form more easily with added H2S. It reduces the effect <strong>of</strong> the heavier <br />

non-­‐forming hydrocarbons and facilitates formation, being a Type 1 former. <br />

The same approach as for HYSYS has been used with the Makogon et al. and Østergaard <br />

et al. correlations to see how well they correspond with HYSYS in the presence <strong>of</strong> H2S. <br />

The curves are given overleaf. <br />

<br />

26


Figure 6: Effect <strong>of</strong> H2S content. Makogon et al. – Ormen Lange <br />

Figure 7: Effect <strong>of</strong> H2S content. Østergaard et al. – Ormen Lange <br />

<br />

27


Discussion <br />

To start <strong>of</strong> with, gas composition, acid components, and salinity all have an effect the <br />

dissociation <strong>of</strong> natural gas hydrate. The effect <strong>of</strong> composition depends on the <br />

components in place and can have both positive and negative effects. The most obvious <br />

effect <strong>of</strong> composition is the content <strong>of</strong> potential hydrate formers. The hydrocarbon <br />

hydrate formers include methane, ethane, propane and butane. For this reason, it is <br />

completely unrealistic to expect no hydrocarbon formers in a natural gas, as they <br />

include four <strong>of</strong> the most essential components in natural gas. Still, lower content <strong>of</strong> <br />

hydrate formers makes the mixture less prone to hydrate formation. The specific gravity <br />

<strong>of</strong> a gas also shows to have an effect, as can be seen by the Makogon et al. correlation <br />

results, and Østergaard et al. to some extent. Heavier gas causes the dissociation <br />

pressure to increase. This statement isn’t entirely applicable to all components, but it <br />

has shown to be descriptive for hydrocarbon components. Other components usually <br />

found in natural gas, such as CO2, N2 and H2S, deviate from this trend. This is also what <br />

makes simple hand calculation methods for hydrate dissociation pressure difficult to <br />

obtain. <br />

N2 exhibits a higher dissociation pressure than the hydrocarbon hydrate formers, <br />

whereas CO2 and H2S have lower pressures. The Østergaard et al. correlation accounts <br />

for the effects <strong>of</strong> both N2 and CO2, and the correction for these two components indicate <br />

that they tend to increase the dissociation pressure when appearing together. This is <br />

perhaps mostly due to the N2 content. As can be seen from the N2-­‐ and CO2-­‐corrected <br />

curves obtained using the Østergaard et al. correlation, the correction is somewhat <br />

larger for the Shtokman gas than that <strong>of</strong> Ormen Lange. This corresponds well with the <br />

previous statement since the Shtokman gas is richer in nitrogen. A few variations in the <br />

CO2 and N2 content also show that the correction for N2 versus CO2 is much greater. A <br />

systematic approach to this phenomenon as not been applied simply because <strong>of</strong> time <br />

limitations. However, it could be an idea for further work. <br />

Since the Østergaard et al. correlation does not account for the effects <strong>of</strong> H2S, more <br />

efforts have been put towards identifying the effects using a systematic approach in <br />

HYSYS. The results show that by increasing the content <strong>of</strong> H2S by 1%, 10% and 20% <br />

dissociation occurs at higher temperatures. The temperature increase seems to not <br />

correspond with the relative increase in H2S content. For instance, going from no H2S to <br />

<br />

28


10% H2S represents a bigger temperature elevation than going from 10% to 20%. Going <br />

from no H2S to 1% supports the assumption that the amount <strong>of</strong> H2S added might not be <br />

directly related to the shift <strong>of</strong> the dissociation curve. Also, the effect <strong>of</strong> added H2S is <br />

greater as the pressure increases. <br />

Results from the Makogon et al. correlation follow the same trend as the HYSYS results, <br />

although they are less significant. The indication that the amount added <strong>of</strong> H2S not <br />

necessarily resulted in an equally significant temperature elevation is also further <br />

backed up. 1% and 10% increase in H2S seem to have a greater relative effect on the <br />

dissociation curve than adding 20%. <br />

The effects <strong>of</strong> salinity are not shown by calculations, but researching the subject <br />

indicates that it has an inhibiting effect as it lowers the hydrate formation temperature. <br />

The work <strong>of</strong> Mohammadi & Richon (2007) shows that the effect <strong>of</strong> salt on the formation <br />

<strong>of</strong> hydrates is analogous to the effect <strong>of</strong> salinity on the freezing-­‐ and boiling points <strong>of</strong> <br />

water. Put simply, increased salinity will stretch the temperature scale in both directions <br />

causing freezing to occur at lower temperature and boiling at higher temperatures. The <br />

idea <strong>of</strong> investigating boiling point elevations due to increased water salinity lead to the <br />

successful correlation to the case <strong>of</strong> lowered hydrate dissociation temperature. <br />

Methanol, ethanol, (mono-­‐) ethylene glycol, diethylene glycol and triethylene glycol are <br />

commonly used hydrate inhibitors. The type <strong>of</strong> inhibitor used is very much based on the <br />

situation and there are pros and cons related to each one. For instance, a disadvantage <br />

with both methanol and ethanol is their volatility, as a certain amount <strong>of</strong> inhibitor tends <br />

to vaporize out <strong>of</strong> solution. This is considered a loss <strong>of</strong> inhibitor and needs to be <br />

accounted for when the amount <strong>of</strong> required inhibitor is calculated. Hence, the <br />

Hammerschmidt equation might not be enough on its own, but more satisfactory along <br />

with common charts for reading the inhibitor vaporization for the given type <strong>of</strong> <br />

inhibitor. The glycols are less volatile than methanol and ethanol by a factor <strong>of</strong> 100 and <br />

losses using these types <strong>of</strong> inhibitors are generally considered negligible. Overleaf, <br />

Figure 8 shows provides an overview <strong>of</strong> the mentioned inhibitors’ vapor pressure: <br />

<br />

29


Figure 8: Inhibitor vapor pressures. <br />

Another disadvantage related to the most common inhibitors is their flammability. <br />

Methanol is by far the most flammable substance and represents a significant fire <br />

hazard. Especially if storing on <strong>of</strong>fshore facilities is required, the use <strong>of</strong> methanol has to <br />

be very carefully considered. An outbreak <strong>of</strong> fire under such circumstances would <br />

obviously be much more severe than other situations on land with good evacuation <br />

possibilities and more extinguishing resources. Do note the fact that all <strong>of</strong> the mentioned <br />

inhibitors are flammable; some are just more than others. Until now, it seems that <br />

glycols are the preferred type <strong>of</strong> inhibitor, and one can argue the case that they are, but <br />

the economics have not yet been mentioned. Methanol is very cheap compared to the <br />

glycol inhibitors and since large quantities <strong>of</strong>ten are required the price becomes <br />

something that needs to be taken under consideration. <br />

<br />

30


Base price <strong>of</strong> inhibitor is given below (Carroll, 2003): <br />

Inhibitor <br />

Methanol <br />

Ethanol <br />

MEG <br />

DEG <br />

TEG <br />

Base Price [$/gal] <br />

1.60 <br />

3.30 <br />

5.87 <br />

7.00 <br />

8.44 <br />

Table 5: Inhibitor base price. <br />

This means that TEG is over 5 times more expensive than methanol. Obviously, this <br />

price difference is not negligible. <br />

The Makogon et al. correlation seems surprisingly accurate. Using HYSYS as a reference <br />

point, it corresponds much better than the Østergaard et al. correlation. Seeing how the <br />

Østergaard et al. correlation is supposed to account for the effects <strong>of</strong> N2 and CO2, it is not <br />

as accurate as expected. It underestimates the dissociation pressure significantly <br />

compared the Makogon et al. correlation for the three cases investigated in this project. <br />

However, in cases with different compositions the results may be different. The <br />

Østergaard et al. correlation is tedious and hard to use without a spreadsheet. <br />

Contrarily, the Makogon method is much more straightforward and easy to use. It could <br />

very well work with only a simple calculator, pen and paper making it very useful in the <br />

field or in situations where a quick estimate <strong>of</strong> the hydrate forming conditions are <br />

required. <br />

<br />

31


Conclusion <br />

By comparison between all the models for calculating the dissociation pressure <strong>of</strong> <br />

natural gas hydrate, the Makogon et al. stands out as the preferred hand calculation <br />

method to use. The only data needed is the gas gravity in order to make a prediction <strong>of</strong> <br />

whether hydrates will form or not at a given temperature or pressure. Caution should be <br />

used when applying the Makogon et al. correlation to sour natural gas mixtures. <br />

H2S has a negative effect on the dissociation pressure <strong>of</strong> natural gas hydrate, increasing <br />

the hydrate dissociation temperature. The effect <strong>of</strong> H2S also seems more significant than <br />

that <strong>of</strong> CO2 and N2. Temperature elevation <strong>of</strong> added H2S seems to increase with <br />

pressure. <br />

The Østergaard et al. correlation <strong>of</strong>fers some purpose in producing an initial estimate <strong>of</strong> <br />

the hydrate forming conditions. It is also the only hand calculation method found that is <br />

designed to handle CO2 and N2. N2 has a bigger and positive effect on the dissociation <br />

pressure <strong>of</strong> natural gas hydrate, as opposed to CO2. <br />

Salinity lowers the hydrate dissociation temperature and has an inhibiting effect. There <br />

exist an easy and straightforward method to predict the salt-­‐induced temperature <br />

depression presented in the work <strong>of</strong> Mohammadi & Richon (2007). A weakness is that <br />

knowledge about normal boiling point elevations <strong>of</strong> the aqueous solution with respect to <br />

water is a prerequisite. <br />

Lastly, the type <strong>of</strong> inhibitor used should be determined from a safety, technical and <br />

economic point <strong>of</strong> view. MEG, DEG and TEG are best from a safety and technical point <strong>of</strong> <br />

view, but they are fairly expensive compared to methanol and ethanol. With methanol <br />

being more than five times cheaper to purchase, it seems more reasonable in situations <br />

that require large amounts <strong>of</strong> inhibitor. A mix <strong>of</strong> inhibitors could be a favorable <br />

compromise by diluting expensive glycols with less expensive methanol or ethanol. <br />

<br />

32


References <br />

AspenTech HYSYS Simulation Basis v.2006, Aspen Technology Inc., October 2006. <br />

Baierlein, R., “The Elusive Chemical Potential”, Northern Arizona University, Flagstaff, <br />

Arizona, USA, October 2000. <br />

Bjerke, E., ”Brennende is er Norges ukjente formue”, article from www.DN.no, published <br />

November 29, 2011, URL: http://www.dn.no/energi/article2277650.ece. <br />

Carroll, J., ”<strong>Natural</strong> <strong>Gas</strong> <strong>Hydrate</strong>s – A Guide for Engineers”, Elsevier, 2003, E-­‐book, URL: <br />

http://www.knovel.com/web/portal/browse/display?_EXT_KNOVEL_DISPLAY_bookid=<br />

1275. <br />

Christensen, K. O. & Skouras, S., ”<strong>Gas</strong> Quality – From Reservoir to Market”, <strong>Natural</strong> <strong>Gas</strong> <br />

Lecture, Statoil & <strong>NTNU</strong>, October 17, 2011. <br />

Elgibaly, A. A. & Elkamel, A. M., ”A New Correlation for Predicting <strong>Hydrate</strong> Formation <br />

Conditions for Various <strong>Gas</strong> Mixtures and Inhibitors”, University <strong>of</strong> Kuwait, December <br />

1997. <br />

Elshahawi, H. & Hashem, M., ”Accurate Measurement <strong>of</strong> the Hydrogen Sulfide Content in <br />

Formation Fluid Samples – Case Studies”, SPE 94707, SPE Annual Technical Conference <br />

and Exhibition, Dallas, USA, October 2005. <br />

Gazprom, Information about the Shtokman field development project, November 2011, <br />

URL: http://www.gazprom.com/production/projects/deposits/shp/. <br />

Gudmundsson, J. S., ”Flow Assurance ” Book Manuscript, Department <strong>of</strong> Petroleum <br />

Engineering and Applied Geophysics, <strong>NTNU</strong>, Trondheim, November 2010. <br />

Gudmundsson, J. S., ”<strong>Natural</strong> <strong>Gas</strong> World-­‐Wide”, <strong>Natural</strong> <strong>Gas</strong> Lecture, August 29, 2011. <br />

Gudmundsson, J. S., ”Our Technical Writing”, <strong>Natural</strong> <strong>Gas</strong> Lecture, <strong>NTNU</strong>, October 13, <br />

2011. <br />

Gudmundsson, J. S., Table 1-­‐2 Typical Molar Compositions <strong>of</strong> Petroleum Reservoir <br />

Fluids, p. 8, ”Produced and Processes <strong>Natural</strong> <strong>Gas</strong>”, <strong>Natural</strong> <strong>Gas</strong> Lecture, <strong>NTNU</strong>, <br />

September 29, 2011. <br />

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Gupta, N., ”Overview <strong>of</strong> Ormen Lange Project”, Shell Exploration & Production, <strong>Natural</strong> <br />

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Hammerchmidt, E. G., ”Formation <strong>of</strong> <strong>Gas</strong> <strong>Hydrate</strong>s in <strong>Natural</strong> <strong>Gas</strong> Transmission Lines”, <br />

Texacoma <strong>Natural</strong> <strong>Gas</strong> Company, Texas, 1934. <br />

Heskestad, Karl L., Table 3: Ormen Lange <strong>Gas</strong> Composition, ”Deposits Detection Using <br />

<strong>Pressure</strong> Pulse Technology”, p. 22, <strong>NTNU</strong>, 2004. <br />

Imayev, S., Alfyorov, V., Bagirov, L., Dmitriev, L., Feygin, V. & Lacey, J., ”Supersonic <br />

Technologies <strong>of</strong> <strong>Natural</strong> <strong>Gas</strong> Components Separation, Translang Technologies Ltd., <br />

Shtokman <strong>Gas</strong> Composition, PowerPoint Presentation, p. 22, Calgary, Canada & Moscow, <br />

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the Word Energy Outlook 2011, Paris, 2011. <br />

Kvenvolden, K. A., ”<strong>Gas</strong> <strong>Hydrate</strong>s – Geological Perspective and Global Change”, Reviews <br />

<strong>of</strong> Geophysics, 31, American Geophysical Union, May 1993. <br />

Makogon, Y. F., ”<strong>Hydrate</strong>s <strong>of</strong> <strong>Natural</strong> <strong>Gas</strong>”, ”Chapter 1. Present state <strong>of</strong> the problem <strong>of</strong> <br />

natural gas hydrates”, p. 1-­‐39, PennWell Publishing Company, Tulsa, Oklahoma, USA, <br />

1981. <br />

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Sandengen, K., ”<strong>Hydrate</strong>s and Glycols”, Statoil, <strong>Natural</strong> <strong>Gas</strong> Lecture, <strong>NTNU</strong>, September <br />

2011. <br />

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3, <strong>NTNU</strong>, Trondheim, 2009. <br />

Sloan, E. D. & Koh, C. A, ”Clathrate <strong>Hydrate</strong>s <strong>of</strong> <strong>Natural</strong> <strong>Gas</strong>es”, Third Edition, CRC Press <br />

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Østergaard, K. K., Tohidi, B., Danesh, A., Todd, A. C. & Burgass, R. W., ”A General <br />

Correlation for Predicting the <strong>Hydrate</strong>-­‐Free Zone <strong>of</strong> Reservoir Fluids”, p. 228-­‐233, SPE <br />

Prod. & Facilities, Vol. 15, No. 4, November 2000. <br />

<br />

35


Appendix A <br />

Model Comparisons <br />

Figure A1: Model Comparison - Shtokman <br />

Figure A2: Model Comparison - Generic <br />

Figure A3: Model Comparison – Ormen Lange <br />

<br />

36


Østergaard et al. correction for N 2 and CO 2 <br />

Figure A4: Østergaard <strong>Dissociation</strong> Curves - Shtokman <br />

Figure A5: Østergaard <strong>Dissociation</strong> Curves – Ormen Lange <br />

<br />

37


Effect <strong>of</strong> H 2 S – HYSYS <br />

Figure A6: HYSYS Effect <strong>of</strong> H2S - Shtokman <br />

Figure A7: HYSYS Effect <strong>of</strong> H2S - Generic <br />

Figure A8: HYSYS Effect <strong>of</strong> H2S – Ormen Lange <br />

<br />

38


Effect <strong>of</strong> H 2 S – Østergaard et al. <br />

Figure A9: Østergaard et al. Effect <strong>of</strong> H2S - Shtokman <br />

Figure A10: Østergaard et al. Effect <strong>of</strong> H2S - Generic <br />

Figure A11: Østergaard et al. Effect <strong>of</strong> H2S – Ormen Lange <br />

<br />

39


Effect <strong>of</strong> H 2 S – Makogon et al. <br />

Figure A12: Makogon et al. Effect <strong>of</strong> H2S - Shtokman <br />

Figure A13: Makogon et al. Effect <strong>of</strong> H2S - Generic <br />

Figure A 14: Makogon et al. Effect <strong>of</strong> H2S – Ormen Lange <br />

<br />

40

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