The Study on Mathmatical Model of Fluid Flow through Porous Medium about Multi-layer Fault Block Oil Reservoir Coupling with Benching-Horizontal Well

Abstract

The mechanism and rule of fluid flow through porous medium about multi-layer complex fault block oil reservoir's developing through benching-horizontal well is completed. On the basis of mathmatical model in transient period, this paper established a mathmatical model about benching-horizontal well which pass through multi-layer reservoirs unconnected reciprocally coupled with reservoir. We resoluted this model through Laplace transforming, Stehfest inverting and conjugate gradient method. Compared with the computational solution from saphir, this model is of high reliability. Through this model on a given fault block oil reservoir, we can compute the downhole-pressure and deliverability distribution in different producing periods. This model presented some theory basis for the study on reservoir engineer of multi-layer complex fault block oil reservoir's developing through benching-horizontal well.