| 基于约束最小二乘与信赖域的储层参数反演方法 |
| |
| 引用本文： | 林恬,孟小红,张致付.基于约束最小二乘与信赖域的储层参数反演方法[J].地球物理学报,2017,60(10):3969-3983. |
| |
| 作者姓名： | 林恬 孟小红 张致付 |
| |
| 作者单位： | 地下信息探测技术与仪器教育部重点实验室, 中国地质大学(北京)地球物理与信息技术学院 中国地质大学(北京), 北京 100083 |
| |
| 基金项目： | 国家自然科学基金项目（41530321）和国家自然科学基金项目（41474106）联合资助. |
| |
| 摘 要： | 基于包体岩石物理模型的储层参数地震反演方法面临数学形式复杂、多解性强、适应性差、涉及迭代运算等问题,本文提出一种基于约束最小二乘与信赖域的储层参数地震反演方法.该方法基于储层参数与弹性参数关联岩石物理模型,使用最小二乘方法构建目标函数和信赖域约束全局寻优求解,有效降低了地震反演多解性,极大提高了收敛速度.特别是通过在最小二乘求解中引入垂向约束,有效提高反演结果的抗噪声能力.经过模型测试和实际资料的应用,验证了方法的可行性和适用性.
|
| 关 键 词： | 储层参数 岩石物理 反演 最小二乘 信赖域算法 |
| 收稿时间： | 2017-02-20 |
The petrophysical parameter inversion method based on constrained least squares and trust region approach |
| |
| LIN Tian,MENG Xiao-Hong,ZHANG Zhi-Fu.The petrophysical parameter inversion method based on constrained least squares and trust region approach[J].Chinese Journal of Geophysics,2017,60(10):3969-3983. |
| |
| Authors: | LIN Tian MENG Xiao-Hong ZHANG Zhi-Fu |
| |
| Institution: | Key Laboratory of Geo-detection(China University of Geosciences, Beijing), Ministry of Education, School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, China |
| |
| Abstract: | In the context of petrophysical parameter inversion, several aspects are concerned as challenges for the application of inclusion rock physics model, including complex mathematical form, potential multiplicity of solutions, poor adaptability and involved iteration calculation. Herein, we demonstrate an efficient petrophysical parameter inversion method based on constrained least-squares and trust region approach. On account of the correlation between elastic parameters and petrophysical parameters, the established rock physics model is significantly beneficial to the confinement of multiplicity of solutions and the promotion of convergence speed, ascribed to the optimal solution obtained from least squares objective function and trust region approach. In particular, inversion results present strong improvement of noise-resistance by adding vertical constraints in least-squares method. Furthermore, the model test and real data are used to verify the excellent feasibility and applicability of the proposed method. Therefore, the proposed petrophysical parameter inversion method paves the way towards the further boost of the application of inclusion rock physics model in the field of petrophysical parameter inversion. |
| |
| Keywords: | Petrophysical parameter Rock physics Inversion Least squares Trust region approach |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《地球物理学报》浏览原始摘要信息 |
| 点击此处可从《地球物理学报》下载免费的PDF全文 |
|
