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Crisman Annual Report 2009 - Harold Vance Department of ...

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Modeling and Analysis <strong>of</strong> Reservoir Response to Stimulation by Water Injection<br />

Objectives<br />

The distributions <strong>of</strong> pore pressure and stresses<br />

around a fracture are <strong>of</strong> interest in conventional<br />

hydraulic fracturing operations, fracturing during<br />

water-flooding <strong>of</strong> petroleum reservoirs, shale gas,<br />

and injection/extraction operations in a geothermal<br />

reservoir. During the operations, the pore pressure<br />

will increase with fluid injection into the fracture<br />

and leak <strong>of</strong>f to surround the formation. The pore<br />

pressure increase will induce the stress variations<br />

around the fracture surface. This can cause the<br />

slip <strong>of</strong> weakness planes in the formation and cause<br />

the variation <strong>of</strong> the permeability in the reservoir.<br />

Therefore, the investigation on the pore pressure<br />

and stress variations around a hydraulic fracture in<br />

petroleum and geothermal reservoirs has practical<br />

applications. With the pore pressure distribution,<br />

the failed reservoir volume can be estimated by<br />

considering the failure <strong>of</strong> rock mass.<br />

Y, ft<br />

3000<br />

2400<br />

1800<br />

1200<br />

(psi)<br />

6558.00<br />

600<br />

6148.33<br />

5738.67<br />

0<br />

5329.00<br />

4919.33<br />

-600<br />

4509.67<br />

4100.00<br />

-1200<br />

-1800<br />

-2400<br />

-3000 -2400 -1800 -1200 -600 0 600 1200 1800 2400<br />

X, ft<br />

Fig. 1. Pore Pressure Distribution around a Hydraulic Fracture.<br />

Approach<br />

In our study, we built up a model (FracJStim model)<br />

to calculate the pore pressure distribution around a<br />

fracture <strong>of</strong> a given length under the action <strong>of</strong> applied<br />

internal pressure and in-situ stresses as well as their<br />

variation due to cooling and pore pressure changes<br />

(Fig. 1). In the FracJStim model, the Structural<br />

Permeability Diagram (Fig. 2) is used to estimate<br />

the required additional pore pressure to reactivate<br />

the joints in the rock formations <strong>of</strong> the reservoir. By<br />

estimating the failed reservoir volume and comparing<br />

it with the actual stimulated reservoir volume, the<br />

enhanced reservoir permeability in the stimulated<br />

zone can be approximated.<br />

0<br />

270 90<br />

180<br />

Fig. 2. Structural Permeability Diagram for Barnett Shale.<br />

P<br />

(psi/ft)<br />

0.50<br />

0.06<br />

Significance<br />

This work is <strong>of</strong> interest in interpretation <strong>of</strong> microseismicity<br />

in hydraulic fracturing and in assessing<br />

permeability variation around a stimulation zone.<br />

The work can also be used to assess the accuracy <strong>of</strong><br />

more complex numerical models.<br />

Future Work<br />

We will continue developing the model to three<br />

Dimensions, including the stresses variations and<br />

heterogeneous conditions. We will also improve<br />

the application <strong>of</strong> this work by simulating multiple<br />

fractures.<br />

CRISMAN INSTITUTE<br />

Project Information<br />

2.5.10 Pore Pressure and Stress Distributions around an<br />

Injection-Induced Fracture<br />

Contacts<br />

Ahmad Ghassemi<br />

979.845.2206<br />

ahmad.ghassemi@pe.tamu.edu<br />

Jun Ge<br />

<strong>Crisman</strong> <strong>Annual</strong> <strong>Report</strong> <strong>2009</strong><br />

61

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