基于岩相约束的Xu-White模型线性化近似与反演

doi:10.13810/j.cnki.issn.1000-7210.2019.03.010

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摘要 Xu-White模型为强非线性模型，无法直接进行线性化近似、实现储层物性线性化反演。对Xu-White模型进行正演分析，发现泥质含量是影响模型非线性强弱的关键因素。为此，提出岩相约束的岩石物理模型线性化近似方法，实现了由Xu-White模型线性化反演储层物性参数。主要有四个步骤：①利用测井曲线建立岩相模型；②利用泰勒级数展开方法，分岩相对Xu-White模型进行线性化近似；③依据贝叶斯理论建立储层物性反演目标函数，并利用最小二乘优化算法反演孔隙度、泥质含量与含水饱和度等参数；④通过不确定性分析，验证反演结果的可信程度。该方法在模型试算及实际测试中均取得了较高质量的反演结果。

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关键词 ： Xu-White模型, 岩相约束, 线性化近似, 泰勒级数展开, 贝叶斯理论, 储层物性反演

Abstract：The Xu-White model is a strong nonlinear model, and linearized approximation and inversion of this model cannot be directly achieved.The Xu-White forward model demonstrates that the size of clay volume is the key of the model nonlinear strength.Therefore we propose a linearized approximation based on lithofacies constraint to realize the Xu-White model linearized approximation and inversion for petrophysical property.The procedure of the proposed approach includes four steps:①lithofacies model building with logging data, ②model linearized approximation on each facies with first-order Taylor series expansion, ③petrophysical property inversion objective function establishment based on Bayesian theory, and the porosity, clay volume, and water saturation obtained with least-squares optimization algorithm, and ④the reliability of the inversion results verification with the uncertainty analysis.Model and real data tests show the feasibility of the proposed approach, which delivers accurate results for reservoir characterization and fluid prediction.

Key words： Xu-White model lithofacies constraint linearized approximation Taylor series expansion Bayesian theory petrophysical inversion

收稿日期: 2018-08-07

PACS:

P631

基金资助:本项研究受中国石油天然气股份有限公司重大科技项目“塔里木油田勘探开发关键技术研究”（2014E-2107）、东方地球物理公司项目“水平井开发区井震联合油藏建模数模及剩余油预测技术研究”（03-05-2015）、“基于岩石物理模型的深埋储层孔隙度迭代反演方法研究”（12-02-06-2018）和中国石油塔里木油田公司项目“已开发油气田地震跟踪研究”（041013100009）联合资助。

通讯作者: 凌东明,新疆维吾尔自治区库尔勒市302信箱东方地球物理公司研究院库尔勒分院,841001。Email:lingdongming12@126.com E-mail: lingdongming12@126.com

作者简介: 凌东明高级工程师,1977年生;1999年毕业于石油大学(华东)应用地球物理专业,获学士学位;现在中国石油大学(华东)攻读地质资源与地质工程专业博士学位;就职于东方地球物理公司研究院库尔勒分院,从事开发地震技术研究与应用。

引用本文:

凌东明, 杜启振, 田军, 王贵重, 成锁, 王继勋. 基于岩相约束的Xu-White模型线性化近似与反演[J]. 石油地球物理勘探, 2019, 54(3): 577-586. LING Dongming, DU Qizhen, TIAN Jun, WANG Guizhong, CHENG Suo, WANG Jixun. The Xu-White model linearized approximation and inversion based on lithofacies constraint. Oil Geophysical Prospecting, 2019, 54(3): 577-586.

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http://www.ogp-cn.com/CN/10.13810/j.cnki.issn.1000-7210.2019.03.010 或 http://www.ogp-cn.com/CN/Y2019/V54/I3/577

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