层状各向异性介质中普通电阻率测井的快速正演模拟与应用

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本文应用混合法给出了水平层状各向异性介质中普通电阻率测井的快速正演算法。理论模型的计算结果证明,各向异性介质中电阻率测井的响应主要受横向电阻率影响,且响应的振幅完全由横向电阻率的大小确定。文中还研究了薄互层的响应与各向异性介质响应的等价性问题。对于砂、泥岩薄互储层,当组成薄互层的各个单层的厚度明显小于电极系的纵向分辨率时,薄互层的响应与等效的各向异性介质的响应基本上是一致的,很难从其电阻率的响应中了解到实际地层电阻率的真实变化情况。 In this paper, a fast forward algorithm of ordinary resistivity logging in horizontal layered anisotropic media is given by using the hybrid method. The theoretical model results show that the resistivity logging response in anisotropic media is mainly affected by the transverse resistivity, and the amplitude of the response is completely determined by the magnitude of the transverse resistivity. The paper also studies the equivalence of the response of thin interlayers and anisotropic media. For thin interbedded sand and mudstone reservoirs, the response of the thin interbeds is basically the same as the response of the equivalent anisotropic medium when the thickness of each monolayer composing the thin interbed is obviously less than the longitudinal resolution of the electrode system , It is difficult to know from the response of its resistivity the real change of the formation resistivity.
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