Modeling acoustic attenuation of discrete stochastic fractured media

Modeling acoustic attenuation of discrete stochastic fractured media
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离散随机裂缝介质的声衰减建模

DOI:
10.1007/s40328-018-0237-9
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发表时间:
2018-11
影响因子:
1.4
通讯作者:
Zhang Ray Ruichong
Zhang Ray Ruichong
中科院分区:
地球科学4区
文献类型:
--
作者:
Chen Guiwu;Song Lei;Zhang Ray Ruichong

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声波响应在地震勘探和无损检测中具有重要作用。它促进了裂缝分类和尺寸的发展。本文将Hudson有效介质格式与有限差分时域建模方法相结合,模拟了声波在裂缝介质中的传播。裂缝由离散裂缝网络表示,允许最先进的自然裂缝网络通过负指数律长度分布表示。在二维数字岩石模型中,对点源发射的声波和裂缝区域反射的声波的传播进行了数值研究,目的是对裂缝性质进行声学推断。在这些裂缝模型中,我们通过改变裂缝的数量和平均长度来探索岩石内部结构与声波场特征的关系。模拟结果表明,声波场对裂缝数的敏感性大于对裂缝长度均值的敏感性。此外,对离散随机裂缝模型的反射记录进行了裂缝相关的衰减分析。频率和时间相关的衰减曲线在频率上有两个部分,(1)较低频率的裂缝-背景,(2)较高频率的裂缝-裂缝。我们的研究结果表明,考虑衰减效应不仅可以改善裂缝数量的估计,而且可以提供有关长度分布几何特征的信息。这种方法可以用给定的声学记录来估计自然裂缝网络的性质。
The acoustic response has many important roles in seismic exploration and nondestructive testing. It enables the development of fracture classification and sizing. In this paper, we combined Hudson’s effective medium scheme and finite-difference time-domain modeling method to simulate acoustic wave propagation in fractured media. Fractures are represented by discrete fracture networks, allowing for a state-of-the-art representation of natural fracture networks by a negative Exponential Law length distribution. The propagation of acoustic waves that are emitted by a point source and reflected from a fractured area in a 2D digital rock model are examined numerically with the purpose of developing an acoustic inference of fracture properties. In these fractured models, we vary the number and mean length of fractures to explore the relation between internal structure of rock and acoustic wave field characters. The modeling results indicate that acoustic wave field is more sensitive to the fracture number than to the mean of the fracture length. Moreover, a fracture-dependent attenuation analysis of the reflection records of discrete stochastic fractured models is obtained. The frequency- and time- dependent attenuation profiles feature two parts in frequency, (1) fracture-to-background at lower frequencies and (2) fracture-to-fracture at higher frequencies. Our results indicate that accounting for attenuation effects may not only allow for improving estimation of fracture number, but also provide information about geometrical characteristics of length distribution. Such an approach can be used to estimate nature fracture network properties with given acoustic records.
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