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3D Numerical Simulation of Elastic Wave Propagation in Discrete Fracture Network Rocks

机译：三维集成骨折网络岩石弹性波传播的数值模拟

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摘要

Fractures play an important role in controlling rock block stability and the hydraulic properties of fractured rock formations. Understanding elastic wave propagation in fractured media can result in significant advances for the geophysical prediction of fracture parameters from seismic data. However, most natural fracture characteristics, such as fracture length, aperture, angle and location are random; therefore, fracture models must be built discretely and follow some stochastic principles. We construct stochastic models of fractured rock samples using a random fracture network rather than a single fracture. Three-dimensional (3D) wave field computation is a computationally complex problem. Here, the 3D fourth-order in space, second-order in time, displacement-stress staggered-grid finite-difference scheme is used for accurate simulations. Our numerical examples demonstrate the effects of varying fracture number, aperture, and length distribution of the fracture network on the seismic response. The wave field scattering caused by the contrast between fractures and background media is one of the key features, and the resulting scattering is more obvious for S-waves than for P-waves. Such an approach can be applied to any fracture network model that provides a link between fracture parameters and seismic attributes.
机译：骨折在控制岩石块稳定性和裂缝岩层的液压性能方面发挥着重要作用。了解裂缝介质中的弹性波传播可能导致来自地震数据的断裂参数的地球物理预测的显着进展。然而，大多数自然骨折特性，例如断裂长度，孔径，角度和位置是随机的;因此，必须谨慎地建立骨折模型，并遵循一些随机原则。我们使用随机骨折网络而不是单个骨折构建裂缝岩样的随机模型。三维（3D）波场计算是一个计算复杂的问题。这里，在空间中的3D四阶，二阶时间，位移应力交错 - 电网有限差分方案用于精确仿真。我们的数值例证证明了裂缝网络的不同裂缝数，孔径和长度分布对地震反应的影响。由裂缝和背景介质之间的对比度引起的波场散射是关键特征之一，并且对于S波的产生散射比对于P波更明显。这种方法可以应用于任何骨折网络模型，该模型提供裂缝参数和地震属性之间的链路。

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