{"title":"裂隙多孔介质中流体流动模拟的无网格方法","authors":"A. R. Lamb, D. Villarroel-Lamb","doi":"10.47412/qpcd7447","DOIUrl":null,"url":null,"abstract":"This paper presents a meshfree approach for simulating fluid flow in fractured porous media using a novel fracture (FM) mapping approach. Fracture mapping is a continuum-based approach which simulates the flow interaction between the porous matrix and existing fractures via a transfer function. The approach simulates fluid flow through both the matrix and the fractures and is well suited to models containing sparsely spaced, unconnected fractures. The presented approach determines the fluid flow using approximating functions constructed employing the radial point interpolation method (RPIM) meshfree formulation which uses radial basis functions (RBFs) augmented with polynomials. As part of this meshfree scheme a nodal integration procedure has been implemented thereby removing the need for background integration cells that are usually required for meshfree schemes that rely on Gaussian integration. Numerical test results illustrate the methods ability to adequately describe the fluid pressure fields within a fractured porous domain","PeriodicalId":364752,"journal":{"name":"West Indian Journal of Engineering","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Meshfree Approach for Simulating Fluid Flow in Fractured Porous Media\",\"authors\":\"A. R. Lamb, D. Villarroel-Lamb\",\"doi\":\"10.47412/qpcd7447\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a meshfree approach for simulating fluid flow in fractured porous media using a novel fracture (FM) mapping approach. Fracture mapping is a continuum-based approach which simulates the flow interaction between the porous matrix and existing fractures via a transfer function. The approach simulates fluid flow through both the matrix and the fractures and is well suited to models containing sparsely spaced, unconnected fractures. The presented approach determines the fluid flow using approximating functions constructed employing the radial point interpolation method (RPIM) meshfree formulation which uses radial basis functions (RBFs) augmented with polynomials. As part of this meshfree scheme a nodal integration procedure has been implemented thereby removing the need for background integration cells that are usually required for meshfree schemes that rely on Gaussian integration. Numerical test results illustrate the methods ability to adequately describe the fluid pressure fields within a fractured porous domain\",\"PeriodicalId\":364752,\"journal\":{\"name\":\"West Indian Journal of Engineering\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"West Indian Journal of Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47412/qpcd7447\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"West Indian Journal of Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47412/qpcd7447","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Meshfree Approach for Simulating Fluid Flow in Fractured Porous Media
This paper presents a meshfree approach for simulating fluid flow in fractured porous media using a novel fracture (FM) mapping approach. Fracture mapping is a continuum-based approach which simulates the flow interaction between the porous matrix and existing fractures via a transfer function. The approach simulates fluid flow through both the matrix and the fractures and is well suited to models containing sparsely spaced, unconnected fractures. The presented approach determines the fluid flow using approximating functions constructed employing the radial point interpolation method (RPIM) meshfree formulation which uses radial basis functions (RBFs) augmented with polynomials. As part of this meshfree scheme a nodal integration procedure has been implemented thereby removing the need for background integration cells that are usually required for meshfree schemes that rely on Gaussian integration. Numerical test results illustrate the methods ability to adequately describe the fluid pressure fields within a fractured porous domain