A Numerical Modelling Method of Fractured Reservoirs with Embedded Meshes and Topological Fracture Projection Configurations  

作　　者：Xiang Rao Yina Liu 

机构地区：[1]Cooperative Innovation Center of Unconventional Oil and Gas(Ministry of Education&Hubei Province),Yangtze University,Wuhan,China [2]School of Petroleum Engineering,Yangtze University,Wuhan,China

出　　处：《Computer Modeling in Engineering & Sciences》2022年第6期1403-1429,共27页工程与科学中的计算机建模（英文）

基　　金：supported by the National Natural Science Foundation of China(No.52104017);National Key Research and Development Program of China(Grant No.2019YFA0705501);State Center for Research and Development of Oil Shale Exploitation,and Cooperative Innovation Center of Unconventional Oil and Gas(Ministry of Education&Hubei Province),Yangtze University(No.UOG2020-17).

摘　　要：Projection-based embedded discrete fracture model(pEDFM)is an effective numerical model to handle the flow in fractured reservoirs,with high efficiency and strong generalization of flow models.However,this paper points out that pEDFM fails to handle flow barriers in most cases,and identifies the physical projection configuration of fractures is a key step in pEDFM.This paper presents and proves the equivalence theorem,which explains the geometric nature of physical projection configurations of fractures,that is,the projection configuration of a fracture being physical is equivalent to it being topologically homeomorphic to the fracture,by analyzing the essence of pEDFM.Physical projection configurations of fractures may be rigorously established based on this theorem,allowing pEDFM to obtain physical numerical results for many flow models,particularly those with flow barriers.Furthermore,a natural idea emerges of employing flow barriers to flexibly‘cut’the formation to quickly handle the flow problems in the formation with complex geological conditions,and several numerical examples are implemented to test this idea and application of the improved pEDFM.

关 键 词：Numerical modeling method fractured reservoirs fracture-projection configuration flow barriers topologically homeomorphism 

分 类 号：O17[理学—数学]