ON SIMULATIONS OF DISCRETE FRACTURE NETWORK FLOWS WITH AN OPTIMIZATION-BASED EXTENDED FINITE ELEMENT METHOD

被引：59

作者：

Berrone, Stefano ^{[1
]}

Pieraccini, Sandra ^{[1
]}

Scialo, Stefano ^{[1
]}

机构：

[1] Politecn Torino, Dipartimento Sci Matemat, I-10129 Turin, Italy

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2013年 / 35卷 / 02期

关键词：

fracture flows; Darcy flows; discrete fracture networks; optimization methods for elliptic problems; HYBRID MORTAR METHOD; BLENDING ELEMENTS; CRACK-GROWTH; SOLVING FLOW; PARTITION; SYSTEMS; MEDIA; MODEL; MESH;

D O I：

10.1137/120882883

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Following the approach introduced in [SIAM J. Sci. Comput., 35 (2013), pp. B487-B510], we consider the formulation of the problem of fluid flow in a system of fractures as a PDE constrained optimization problem, with discretization performed using suitable extended finite elements; the method allows independent meshes on each fracture, thus completely circumventing meshing problems usually related to the discrete fracture network (DFN) approach. The application of the method to DFNs of medium complexity is fully analyzed here, accounting for several issues related to viable and reliable implementations of the method in complex problems.

引用

页码：A908 / A935

页数：28

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SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2013, 35 (02) :B487-B510

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