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Effective Media for Transversely Isotropic Models Based on Homogenization Theory: With Applications to Borehole Sonic Logs

机译:基于均质化理论的横向各向同性模型的有效介质:用应用于钻孔声波

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摘要

Sonic log records, including measurements of wave speeds in boreholes, provide critical input to the geological, geophysical, and petrophysical studies of a region under exploration. 1D background models are routinely built based on sonic log records for applications such as seismic imaging of hydrocarbon reservoirs and microseismic source inversions. Smoothing or 'upscaling' techniques are required to produce models in coarser scales than the very fine layers in the raw log data. In this paper, we follow the recently popular homogenization theory, derive its application to the special case of 1D TI models for both P-SV and SH waves, and show that it is consistent with the Backus averaging technique commonly used to upscale 1D fine-layered models. We examine a study case of sonic log data from a well in the Horn River Basin in northeastern British Columbia, a region known for its tight shale-gas deposit. We demonstrate the computational accuracy and efficiency gained by proper upscaling procedures for spectral-element simulations of seismic wave propagation, and discuss the effect of control parameters on wavefield recovery.
机译:声音记录,包括钻孔中波速测量的记录,为探索区域的地质,地球物理和岩石物理研究提供了关键的输入。 1D背景模型是基于Sonic Log记录的基于Sonic Log记录,例如碳氢化合物储层和微震源反向的地震成像。平滑或“升级”技术需要在粗糙度尺度中生产模型而不是原始日志数据中的非常细层。在本文中,我们遵循最近流行的均匀化理论,将其应用于P-SV和SH波的1D TI模型的特殊情况,并表明它与常用于高档1D的返回平均技术一致 - 分层模型。我们研究了英国哥伦比亚东北部霍尔河流域井中的Sonic Log数据的研究案例,该地区是其紧身页岩 - 气体矿床。我们展示了通过适当的升高程序获得的地震波传播的频谱元素模拟,探讨了对波场恢复的效果。

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