轴对称介质阵列侧向测井资料快速反演方法研究*

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摘要阵列侧向测井具有分辨率高、探测深度多等优势，但受围岩、侵入等因素影响会导致油层漏失和错判，在阵列侧向测井资料的反演时需要考虑这些因素，以使反演结果反映原状地层真实情况。阵列侧向测井资料的反演遇到的问题是：反演参数多，导致雅克比矩阵计算困难；正演速度慢，反演初值选取困难。为此，本文研发了一种阵列侧向测井资料快速处理方法。首先，分析层厚、围岩及侵入等对阵列侧向测井响应的主控因素；然后，基于深度开窗技术，将全井段的阵列侧向测井资料的处理问题转化为一系列连续深度窗口内地层的2D 反演；针对深度窗口内每个地层，结合1D 等效快速正演算法，实现地层径向电阻率剖面的快速提取；最后，以1D 反演结果为初值，进一步消除围岩和层厚对视电阻率响应的影响。数值模拟结果表明：阵列侧向测井响应受侵入影响严重，而层厚和围岩影响次之；开窗技术极大降低了反演参数数量，提高反演的速度。实际井资料处理结果表明，2D 反演实现了对地层纵横向电阻率分布的快速重构，提升了储层饱和度计算的精度。

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关键词：阵列侧向测井 2D 反演侵入剖面开窗处理 1D 反演

Abstract： The array laterolog is an important tool for complex formation logging evaluation due to its high resolution and large detection depth. However, its logging responses are seriously affected by leakage events due to the surrounding rock and by mud invasion. These factors must be considered when inverting array lateral logging data, so that the inversion results refl ect the true formation conditions as much as possible. The difficulties encountered in the inversion of array lateral logging data are: too many inversion parameters cause the calculation of the Jacobian matrix to be difficult and the time required to select the initial inversion values due to the slow forward-modeling speed. In this paper, we develop a fast processing method for array laterolog data. First, it is important to clearly define the main controlling factors for the array laterolog response, such as thickness, the surrounding rock, and invasion. Second, based on a depth-window technique, processing the array laterolog data for the entire well is transformed into multiple 2D inversions of the layers using a series of continuous depth windows. For each formation in a depth window, combined with the 1D equivalent fast-forward algorithm, rapid extraction of the radial resistivity profile of the formation is achieved. Finally, the 1D inversion result is used as the initial state to further eliminate the infl uence of surrounding rocks and layer thicknesses on the apparent resistivity response. Numerical simulation results show that the factors affecting the response of the array laterolog are the invasion properties, the layer thicknesses, and the surrounding rocks; the windowing technique greatly reduces the number of inversion parameters needed and improves the inversion speed. A real application of the method shows that 2D inversion can rapidly reconstruct the actual resistivity distribution and improve the accuracy of reservoir saturation calculations.

Key words： array laterolog 2D inversion invasion profile windowing treatment 1D inversion

收稿日期: 2019-03-04;

基金资助:

本研究由国家重大科技专项（编号：2017ZX05005-005-005，2016ZX05014-002-001 和2016ZX05002-005-001）和中国科学院战略性先导科技专项（A 类）-XDA14010204 联合资助。

通讯作者: 胡松（Email: husong.syky@sinopec.com） E-mail: husong.syky@sinopec.com

作者简介: 胡松，中国石化石油勘探开发研究院，博士（后），副研究员，主要从事水平井数值模拟及资料解释，复杂储层测井评价。E-mail：husong.syky@sinopec.com.

引用本文:

. 轴对称介质阵列侧向测井资料快速反演方法研究*[J]. 应用地球物理, 2019, 16(4): 545-556.

. Fast inversion of array laterolog measurements in an axisymmetric medium*[J]. APPLIED GEOPHYSICS, 2019, 16(4): 545-556.