摘要
围绕低渗透问题和Bingham流体渗流问题,从推广的达西定律入手,详细推导了其渗流控制方程,讨论了初始条件和各种边界条件.并且考虑到表皮效应和井筒储集常数,引入有效井筒半径,将控制方程和边界条件无量纲化,建立了有启动压力梯度渗流问题的数学模型,为有启动压力梯度油藏开采提供理论依据.并给出了无网格方法的数值模拟结果.
The low permeability flow and the Bingham flow are two classical cases of fluid flow in porous media related to start-up pressure gradients, whose control equations are derived and initial conditions and boundary conditions are discussed. The control equa- tions, initial conditions and boundary conditions are then transformed into dimensionless representation. The mathematical model of fluid flow in porous media related to start-up pressure gradients is established. The theoretical guidance is provided for the oil of start-up pressure gradients. It is also studied for the numerical solution by Meshless methods.
基金
国家自然科学基金(10102020)
安徽省高校自然科学研究项目(2005kj012)资助项目.
作者简介
郭永存，男，1965年生，博士．研究方向；渗流力学．
