Abstract: On the basis of Warren-Root model, a mathematical model of unstable seepage flow in deformable, dual-porosity reservoirs for the infinite and bounded strata isproposed. Introduced into the model are fractal parameters (dfandθ) and deformation coefficients. The model assumes that both fracture porosity and porosityare functions of pressure and spatial distance, and thus
it is nonlinear in nature. Numerical solutions to the model are obtained with the predictor-corrector method. Pressure transient character and its effect on the parameters are analyzed.

Key words: fractal reservoir, deformable, dual-porosity, unstable seepage flow, pressure transient