一种新的Kuster-Toks&ouml;z模型岩石弹性模量计算方法

穆星; 韩永亮; 宋建国

doi:10.15953/j.1004-4140.2019.28.03.01

一种新的Kuster-Toksöz模型岩石弹性模量计算方法

1. 中石化胜利油田分公司, 山东东营 257000;
2. 中国石油大学(华东)地球科学与技术学院, 山东青岛 266580

基金项目:

国家自然科学基金面上项目“叠前数据挖掘与储层参数非线性预测”（41674125）

详细信息

作者简介:
穆星(1968-),男,工学博士,中国石化胜利油田分公司勘探开发研究院高首席专家、高级工程师,长期从事石油地球物理勘探工作,Tel:0546-8715653,13054632631,E-mail:muxing.slyt@sinopec.com;宋建国^*(1971-),男,工学博士,中国石油大学(华东)地球科学与技术学院副教授、硕士生导师,主要从事地球物理勘探理论与方法研究,Tel:18563997376,E-mail:sjg@upc.edu.cn。

中图分类号: O242;P631
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出版历程
- 收稿日期: 2019-04-06
- 网络出版日期: 2021-11-05

A New Calculation Method of Rock Elastic Modulus Based on Kuster-Toksöz Model

1. Shengli Oilfield Company Ltd., Sinopec, Dongying 257000, China;
2. School of Geosciences China University of Petroleum (East China), Qingdao 266580, China

摘要

摘要: 在Kuster-Toksöz（KT）模型与差分等效介质理论（DEM）结合过程中，通过用孔隙包含物逐渐替换基质的方法获得孔隙介质的岩石弹性模量。现有方法每次替换的孔隙体积是常量，而基质体积不断减小，实际参与替换的包含物体积与孔隙包含物计算体积是不同的。本文通过改进每次替换的孔隙体积计算公式，使得替换体积随迭代次数的增加而逐渐减小，保持替换体积相对基质体积的比率不变，在迭代次数足够大的条件下使得该比率足够小，满足了K-T计算公式的要求，计算结果更接近理论值。测试结果显示：随着孔隙度的增大，岩石等效弹性模量逐渐收敛于孔隙包含物的弹性模量，说明本方法与物理规律一致；与现有的KT迭代方法相比，采用本方法的计算结果与Xu-White模型更接近，本方法提出孔隙包含物的实际体积与计算体积的计算式更符合KT模型孔隙切分过程。
- Kuster-Tokö /
- z模型 /
- DEM理论 /
- 孔隙度 /
- 等效弹性模量 /
- Xu-White模型
Abstract: In the process of combining the Kuster-Toksöz (KT) model with the differential effective medium theory (DEM), the rock elastic modulus of the porous medium is finally obtained by continuously replacing the matrix with the pore inclusions. The pore volume that is replaced each time is constant in the existing method. While the matrix volume is decreasing, the calculated rock elastic modulus is greatly deviated from the Xu-White model. In this paper, it is by improving the pore volume calculation formula for each replacement so that the replacement volume is gradually decreased with the increase of the number of iterations. And it keeps the ratio of the replacement volume to the matrix volume constant. When the number of iterations is large enough, The ratio is sufficiently small. The requirements of the KT calculation formula are satisfied and the calculation result is closer to the theoretical value. The test results show that with the increase of porosity, the equivalent elastic modulus of rock gradually converges to the elastic modulus of the pore inclusions, indicating that the method accords with the physical understanding; compared with the existing KT iterative model, the calculation results using this method are closer to the Xu-White model. The new method proposed that the calculation formulas of the actual volume and the calculated volume of pore inclusions are more in line with the pore segmentation process of KT model.
- Kuster-Tokö /
- z model DEM theory /
- porosity /
- equivalent modulus /
- Xu-White model

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文章访问数: 476
HTML全文浏览量: 35
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一种新的Kuster-Toksöz模型岩石弹性模量计算方法

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出版历程

A New Calculation Method of Rock Elastic Modulus Based on Kuster-Toksöz Model

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出版历程

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