Self-similar fault slip in response to fluid injection
Self-similar fault slip in response to fluid injection
复制标题
响应流体注入的自相似断层滑动
DOI：
10.1017/jfm.2021.825
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发表时间：
2021
影响因子：
3.7
通讯作者：
Viesca, Robert C.
中科院分区：
文献类型：
--
作者：
Viesca, Robert C.
了解地质断层对瞬时流体源的反应是科学和工业的兴趣所在。天然源和人工源均可提高断层摩擦界面孔隙流体压力，诱发断层滑动。我们考虑一个简单的边值问题，以提供物理过程的一个基本模型，并为数值求解过程提供一个基准。我们研究了一个断层的滑移，它是两个弹性半空间的界面。将注入模拟为恒压下的线源，并假设流体压力沿界面扩散。得到的问题是控制断层滑动的积分-微分方程，它只有一个无量纲参数。滑移的扩展是自相似的，破裂锋在一定程度上扩展，在所谓的临界应力断层中，在扩散长度尺度上出现一个边界层，该边界层远远落后于破裂锋。我们证明了积分-微分方程的高阶匹配渐近性，并且在这样做时，我们推导了一个多极展开，以捕获对于相对于裂纹尺寸较小的驱动力的断层滑动的外部问题的连续阶影响。将渐近展开式与全问题的精确数值解进行了比较，得到了高精度的表格。
There is scientific and industrial interest in understanding how geologic faults respond to transient sources of fluid. Natural and artificial sources can elevate pore fluid pressure on the fault frictional interface, which may induce slip. We consider a simple boundary value problem to provide an elementary model of the physical process and to provide a benchmark for numerical solution procedures. We examine the slip of a fault that is an interface of two elastic half-spaces. Injection is modelled as a line source at constant pressure and fluid pressure is assumed to diffuse along the interface. The resulting problem is an integro-differential equation governing fault slip, which has a single dimensionless parameter. The expansion of slip is self-similar and the rupture front propagates at a factor , in the regime of a so-called critically stressed fault, a boundary layer emerges on the diffusive length scale, which lags far behind the rupture front. We demonstrate higher-order matched asymptotics for the integro-differential equation, and in doing so, we derive a multipole expansion to capture successive orders of influence on the outer problem for fault slip for a driving force that is small relative to the crack dimensions. Asymptotic expansions are compared with accurate numerical solutions to the full problem, which are tabulated to high precision.
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影响因子：
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影响因子：
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DOI：
10.1029/2020jb021258
发表时间：
2021
期刊：
Journal of Geophysical Research: Solid Earth
影响因子：
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作者：
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通讯作者：
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