Integral solutions for transient fluid flow through deformable media
This paper presents an integral method for analyzing transient fluid flow through a deformable porous medium. Approximate analytical solutions have been obtained for one-dimensional linear and radial flow by the integral technique, in which the density of the fluid, and the porosity and permeability of the formation are treated as arbitrary functions of pressure. The integral solutions have been checked by comparison with exact solutions for the linear case, and with numerical simulation results for general non-linear problems; excellent agreement has been obtained. In the study of transient flow of fluids through porous media, permeability of the formation has often been treated as a constant in order to avoid solving a non-linear problem. The present work shows that the assumption of pressure-independent permeability may introduce significant errors for flow in deformable media. Application of the integral solutions to slightly compressible fluid flow in a horizontal fracture network is illustrated. The calculations show that neglect of changes in fracture permeability leads to large errors when injection pressure in high. 24 refs., 12 figs., 2 tabs.
- Research Organization:
- Lawrence Berkeley Lab., CA (USA)
- Sponsoring Organization:
- DOE/ER
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 6700288
- Report Number(s):
- LBL-28938; ON: DE90016643
- Country of Publication:
- United States
- Language:
- English
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