缝洞型多孔介质中多相流的有限体积法数值模拟  

Numerical simulation of multiphase flow in fractured vuggy porous medium using finite volume method

作　　者：邸元[1] 彭浪[1] WU Yu-shu 康志江[3] 

机构地区：[1]北京大学工学院,北京100871 [2]美国科罗拉多矿业大学石油工程系,co80401 [3]中国石油化工股份有限公司石油勘探开发研究院,北京100083

出　　处：《计算力学学报》2013年第S1期144-149,共6页Chinese Journal of Computational Mechanics

基　　金：国家科技重大专项(2011ZX05014);国家自然科学基金重点(10932001);973计划(2011CB201004)资助项目

摘　　要：本文研究的碳酸盐岩油藏储集体属于缝洞型多孔介质。这类缝洞型多孔介质由裂缝、溶蚀孔洞和低孔隙度低渗透率的基岩组成.裂缝是空隙流体流动的主要通道;溶蚀孔洞大小从几厘米到数米不等,渗透率和孔隙度都很高,是流体主要的储集空间。由于缝洞型多孔介质空隙空间的复杂性和强非均质性,数值计算中基本控制方程的空间离散应采用非结构化网格的计算模型。本文采用有限体积法模拟缝洞型多孔介质中多相流体的流动,并给出了相应的单元中心格式有限体积法的计算公式。裂缝介质和溶洞介质中单元间多相流体的流动考虑为高速非达西流,其质量通量采用Forchheimer定律计算。非线性方程的离散选取全隐式格式,并采用Newton-Raphson迭代进行求解。通过两个二维模型注水驱油的数值模拟,验证了本文方法的有效性.The naturally carbonate reservoir body discussed in this paper is classified as the fractured vuggy porous medium,characterized by the presence of fractures,vugs,and rock matrices with low permeability and low porosity.The natural fractures provide major conduits for global flow.The vugs can range size from centimeters to meters,are highly permeable with large porosity and provide the main storage space.Due to the complex porous systems and highly heterogeneous,it is required a numerical model in conjunction with unstructured mesh to discretize the governing equations in space domain.The finite volume method is used for modeling multiphase fluid flow in the fractured vuggy porous medium.The formulations of cell-centered finite volume methods are presented.The mass flux term between the elements within fracture continuum and vug continuum,is described by high speed non-Darcy flow,Forchheimer equation.The discretized nonlinear equations are handled fully implicitly and solved with Newton-Raphson iteration.Several two dimensional numerical examples of oil displacement by water are simulated to demonstrate the application of the proposed method.

关 键 词：缝洞型油藏 多孔介质 有限体积法 油藏模拟 非达西流 

分 类 号：P618.13[天文地球—矿床学]