在岩石中扩展的裂缝分支

2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO) Pub Date : 2016-02-15 DOI:10.1109/SMRLO.2016.88

S. Kryzhevich, Maria Kryzhevich

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引用次数: 0

摘要

我们研究水力压裂作用下岩石中出现的裂缝动力学。通常，这种裂缝被建模为扩展的二维表面。然而，许多原因(如预裂缝的存在)可能导致裂缝分叉，即它们的分支。这种现象完全改变了压裂的动力学。这对模拟石油开采及其生态后果具有极其重要的意义。为了建立这种分支的数学模型，我们将最新发展的动力系统方法与经典断裂力学方法相结合。我们展示了在生态系统动力学建模中获得的结果的可能应用。

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Branching of Cracks That Spread in Rocks

We study dynamics of cracks that appear in rocks under hydraulic fracturing. Usually, such cracks are modeled as spreading two-dimensional surfaces. However, many reasons e.g. presence of pre-cracks may cause bifurcations of cracks, namely their branching. This phenomenon completely changes the dynamics of fracturing. It is extremely important in modeling extraction of petroleum and caused ecological consequences. To create the mathematical model of such branching, we combine recently developed methods of Dynamical Systems with classical methods of Fracture Mechanics. We demonstrate possible applications of obtained results in modeling dynamics of ecological systems.

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2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)

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