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Neftegaz.RU #3-17 ENG

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OFS<br />

nine-points development pattern<br />

with the pattern arrangement 25<br />

and 16 hectares/well. Transversal<br />

fractures orientation for lowpermeability<br />

reservoirs is preferred:<br />

it provides higher productivity of<br />

the production wells, provides more<br />

extensive coverage of a reservoir,<br />

helps to bring into development<br />

multicompartment beds. But based<br />

on the results of the variants analysis<br />

the preference has been given to<br />

longitudinal fractures orientation<br />

due to the lowest risks for this<br />

system implementation and because<br />

of the complexity related to the<br />

waterflooding pattern arrangement<br />

for the system with transversal<br />

fractures orientation of hydraulic<br />

fracturing [1].<br />

Based on the hydrodynamic fluid<br />

simulation results, implementation<br />

of HW with multi-stage hydraulic<br />

fracturing on the experimental<br />

plot will allow not only ORF<br />

increasing by 5 percent but also<br />

reducing development period by<br />

more than two times as compared<br />

with the basic variant. The use<br />

of hydrodynamic fluid simulation<br />

models is one of the main means<br />

for designing; but notwithstanding<br />

its high accuracy, it is impossible<br />

to be confined with only these<br />

models applying for the purposes<br />

of development variants calculation<br />

due to availability of a large number<br />

of such variants and long time<br />

period required for the calculations<br />

performing. Under such conditions<br />

the reasonable approach is to<br />

use two-stage simulation, when<br />

preliminary calculations allowing<br />

reducing a number of variants and<br />

evaluating degree of impact of<br />

each parameter on oil production<br />

levels are performed at the first<br />

stage using analytical models, and<br />

adjustments with a help of numerical<br />

hydrodynamic calculations and<br />

selection of the best variant are<br />

performed at the second stage.<br />

The paper [2] proposes the following<br />

model for calculation of flow rate<br />

of horizontal well with multi-stage<br />

hydraulic fracturing and transversal<br />

fractures arrangement:<br />

(1)<br />

The given equation consists of two<br />

parts, the first term of the equation<br />

describes fluid inflow to the fracture<br />

space border excluding external<br />

parts of the outermost fractures<br />

draining areas.<br />

External parts of the outermost<br />

fractures draining areas are<br />

accounted by the following equation<br />

where<br />

(2)<br />

– fracture total area;<br />

– half the length of a fracture from<br />

hydraulic fracturing;<br />

– distance to external boundary.<br />

Pressure at the border of<br />

interfracturing space:<br />

where ,<br />

TABLE 2. Input data<br />

(3)<br />

Name of the indicator<br />

– length of a horizontal well;<br />

– number of fractures from<br />

hydraulic fracturing.<br />

Let us calculate flow rate of<br />

horizontal well with multi-stage<br />

hydraulic fracturing drilled under<br />

conditions of the producing bed<br />

АС11. The bed net oil pay thickness<br />

14 m. Rock pressure is 26 MPa,<br />

bottom-hole pressure is 5 MPa,<br />

average permeability of the bed<br />

is 3.5 · 10 -3 μm 2 . The input data for<br />

calculations are given in the table 2.<br />

One of the applied model<br />

disadvantages is the fact that fluid<br />

inflow to horizontal well having no<br />

fractures is not considered in the<br />

fluid flow rate calculations. Resulting<br />

uncertainty can be relevant when<br />

there is small number of fractures.<br />

But when number of fractures grows<br />

subsequently the error significantly<br />

decreases as far as the main part of<br />

the flow goes to the fractures. In this<br />

regard we do not consider HW with<br />

less than four fractures.<br />

The calculation results for fluid flow<br />

rate and pressure at the fracture<br />

space border are given in the<br />

Value<br />

Permeability of the bed k, 10 -3 μm 2 3.5<br />

Well length L, m 700<br />

Viscosity μ, mPa · s 1.4<br />

Rock pressure P rock , MPa 26<br />

Bottom-hole pressure P bh , MPa 5<br />

Half the length of a fracture x f , m 50<br />

Bed thickness h, m 14<br />

Distance to external boundary , m 300<br />

Volume factor b 1.2<br />

TABLE 3. The calculation results for fluid flow rate depending on hydraulic fractures number<br />

Hydraulic fractures<br />

number<br />

4 5 6 7 8 9 10 11 12 13 14 15<br />

P 0 , MPa 24.0 18.5 14.8 12.4 10.7 9.5 8.7 8.0 7.5 7.1 6.8 6.6<br />

Q, m 3 /day 148.0 186.9 212.7 230.1 241.9 250.3 256.4 260.9 264.4 267.1 269.2 271.0<br />

26 ~ <strong>Neftegaz</strong>.<strong>RU</strong> [3]

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