On modeling hydraulic fracture in proper variables: Stiffness, accuracy, sensitivity
On modeling hydraulic fracture in proper variables: Stiffness, accuracy, sensitivity
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DOI：
10.1016/j.ijengsci.2012.06.005
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发表时间：
2012-12-01
影响因子：
6.6
通讯作者：
Linkov, Alexander
中科院分区：
文献类型：
--
作者：
Mishuris, Gennady;Wrobel, Michal;Linkov, Alexander
考虑水力裂缝的扩展问题，使用其最近建议的修改公式的粒子速度，在适当的程度，适当的空间坐标和e-正则化的开放。我们表明，制定可能会显着提高效率的数值追踪裂缝的传播。它的优点是通过重新访问Nordgren问题说明。结果表明，修改后的配方有利于（i）可能性有各种刚度的微分方程空间离散化后，（ii）获得高精度和稳定的数值计算结果与适度的计算工作，和（iii）灵敏度分析。阐述了广泛的数值例子说明。皇冠版权所有（C）2012由爱思唯尔有限公司出版。保留所有权利。
The problem of hydraulic fracture propagation is considered by using its recently suggested modified formulation in terms of the particle velocity, the opening in the proper degree, appropriate spatial coordinates and e-regularization. We show that the formulation may serve for significant increasing the efficiency of numerical tracing the fracture propagation. Its advantages are illustrated by re-visiting the Nordgren problem. It is shown that the modified formulation facilitates (i) possibility to have various stiffness of differential equations resulting after spatial discretization, (ii) obtaining highly accurate and stable numerical results with moderate computational effort, and (iii) sensitivity analysis. The exposition is extensively illustrated by numerical examples. Crown Copyright (C) 2012 Published by Elsevier Ltd. All rights reserved.