THE FLUID-SOLID COUPLING MODEL OF FINITE CONDUCTIVITY VERTICALLY FRACTURED WELL IN THE RESERVOIR WITH TRIPLE POROSITY MEDIUM

Considering the effect of media deformation in the reservoir with triple porosity media and the closure of the vertically fractured well, this paper developed Cinco-Ley H’s bilinear flow theory of finite conductivity vertically fractured wells. The seepage flow in the vertically fractured well and formation was divided into two regions: the nonlinear flow region in the reservoir with triple-porosity medium and the nonlinear flow region in the vertically fractured well. And then the fluid-solid coupling model of finite conductivity vertically fractured well in the reservoir with triple porosity medium was constructed. Due to the model’s strong nonlinearity, stable finite difference schemes were adopted to obtain its numerical solutions. Typical west test curves were plotted by using the numerical results. Comparison of the numerical results with those from models without consideration of media deformation or closure of the vertically fractured well verified the necessity of the research on the proposed model. Besides, the sensitive effects of permeability modulus of vertically fractured wells, interporosity flow factor, elastic storage capacity ratio of matrix and wellbore storage coefficient towards the dimensionless wellbore pressure and its derivative were discussed.