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Microseismic Monitoring and Geomechanical Modelling of CO2 - bris

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CHAPTER 5.<br />

GEOMECHANICAL SIMULATION OF CO 2 INJECTION<br />

Dimensional ratio x-side length y-side length Thickness<br />

1z:100x:100y 7620 7620 76.2<br />

1z:100x:5y 7620 381 76.2<br />

1z:5x:5y 381 381 76.2<br />

Table 5.1: Dimensions <strong>of</strong> the various cuboid reservoir models (in meters).<br />

Parameter Reservoir Overburden<br />

Reference Young’s modulus E 0 [7–35]×10 9 Pa [7–20]×10 9<br />

Poisson’s ratio 0.25 0.45<br />

Density 2700kg/m 3 2700kg/m 3<br />

) 1/6.35<br />

Porosity Φ = 0.418 − 0.066z Φ = 1 − ( z<br />

6.02<br />

Permeability κ x =100mD, κ z =10mD κ x = κ z =1×10 −6 mD<br />

Biot Willis parameter 1 1<br />

Depth to top reservoir 3048m NA<br />

Fluid in place Brine Brine<br />

Injected fluid Brine NA<br />

Table 5.2: <strong>Geomechanical</strong> <strong>and</strong> fluid-flow properties <strong>of</strong> the reservoir <strong>and</strong> overburden. The porosity<br />

is given as a function <strong>of</strong> depth, z. The permeability is anisotropic, having values in the horizontal<br />

(x) <strong>and</strong> vertical (z) directions.<br />

to the surface, which may move freely. The base <strong>of</strong> the model is 200m below the base <strong>of</strong> the reservoir.<br />

This represents the situation where a reservoir is near to a relatively undeformable basement, which<br />

may not be applicable to some scenarios. However, the underburden boundary conditions will not<br />

have a large effect on deformation in the overburden, which forms the focus <strong>of</strong> my discussions here.<br />

I have used 3 different reservoir geometries, defined in Table 5.1, an extensive, flat reservoir with<br />

dimensional ratios <strong>of</strong> 1z:100x:100y, a long, thin reservoir with dimensional ratios <strong>of</strong> 1z:100x:5y, <strong>and</strong> a<br />

short, fat reservoir with dimensional ratios <strong>of</strong> 1z:5x:5y. Within each reservoir the simulation mesh has<br />

6 nodes in the x <strong>and</strong> y directions, <strong>and</strong> 5 nodes in z. The mesh grid can be seen in Figure 5.5. In the<br />

over- <strong>and</strong> sideburdens the grid coarsens away from the reservoir to reduce computational expense.<br />

The reservoir material in all cases is a s<strong>and</strong>stone, while the overburden is shale. The properties<br />

<strong>of</strong> these materials are given in Table 5.2. To create a realistic overburden, the porosity is varied as a<br />

function <strong>of</strong> depth, using a typical porosity-depth curve given in Table 5.2. The porosity as a function<br />

<strong>of</strong> depth is shown in Figure 5.6 for both the overburden <strong>and</strong> reservoir. In each <strong>of</strong> these cases, injection<br />

was simulated for 8 years, at a rate such that the pore pressure increased by 15MPa by the end <strong>of</strong> the<br />

injection period. As they have different volumes, this required a different rate <strong>of</strong> injection for each<br />

reservoir.<br />

92

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