Petroleum Reservoir Evaluation and Development >
2020 , Vol. 10 >Issue 5: 42 - 48
DOI: https://doi.org/10.13809/j.cnki.cn32-1825/te.2020.05.006
A fast computing method for rock electric parameters of Cole-Cole model in Jiaoshiba Zone
Received date: 2019-11-07
Online published: 2020-09-24
Calculation of 4 parameters, ρ0, m, τ and c, of Cole-Cole model by complex rock core resistivity data measured with multi-frequency is an important nonlinear optimization problem in rock core complex resistivity experiments. However, in Jiaoshiba Zone, a very small τ and c with big value range cause the difficulty of the convergence of optimization program. Therefore, the initial value determination and optimized iteration step have been studied. The improved program performances well on the speed of convergence, and avoids the calculation failure caused by out-range of the parameter τ. The study indicates that according to the maximum property and asymmetry property, the parameter τ can be obtained directly, and good iteration initial values of the rest 3 parameters can be obtained either. Meanwhile, by transforming the error function to be Tyler series, the optimized iteration step can be obtained and the convergence speed can be upgraded significantly.
Zhiying LIU , Baiqiao ZHANG , Wei XU , Bing LUO , Minghua LI , Wei LI . A fast computing method for rock electric parameters of Cole-Cole model in Jiaoshiba Zone[J]. Petroleum Reservoir Evaluation and Development, 2020 , 10(5) : 42 -48 . DOI: 10.13809/j.cnki.cn32-1825/te.2020.05.006
| [1] | PELTON W H, WARD S H, HALLOF P G , et al. Mineral discrimination and removal of inductive coupling with multi-frequency IP[J]. Geophysics, 1978,43(3):588-609. |
| [2] | 黄涛, 余刚, 王绪本, 等. 页岩岩芯复电阻率频散特征主要影响因素的实验研究[J]. 物探化探计算技术, 2016,38(2):167-174. |
| [2] | HUANG T, YU G, WANG X B, et al. Experiment research of the main influence factors of shale sample complex resistivity dispersion characteristics[J]. Computing Techniques For Geophysical And Geochemical Exploration, 2016,38(2):167-174. |
| [3] | DIAS C A . Developments in a model to describe low-frequency electrical polarization of rocks[J]. Geophysics, 2000,65(2):437-451 |
| [4] | 徐凤姣, 谢兴兵, 周磊, 等. 时域电磁法在我国南方富有机质页岩勘探中的可行性分析[J]. 石油物探, 2016,55(2):294-302. |
| [4] | XU F J, XIE X B, ZHOU L, et al. The feasibility of TDEM in the exploration for rich organic shale reservoir in Southern China[J]. Geophysical Prospectiong for Petroleum, 2016,55(2):294-302. |
| [5] | DIAS C A . A non-grounded method for measuring electrical induced polarization and conductivity: ph.D. thesis[D]. Berkeley: University of California, Berkeley, 1968. |
| [6] | XU W, KE S Z, YIN C F , et al. Measurement and inversion of complex resistivity spectra for different core samples[C]// paper SEG-2014-0469 presented at the 2014 SEG Annual Meeting, 26-31 October 2014, Denver, Colorado, USA. |
| [7] | 高雷阜, 周庆. 多项式优化问题极小值数量及最优值下界分析[J]. 辽宁工程技术大学学报(自然科学版), 2018,37(3):669-672. |
| [7] | GAO L F, ZHOU Q. Number of minimum value and lower bound of optimal value for polynomial optimization problem[J]. Journal of Liaoning Technical University(Natural Science), 2018,37(3):669-672. |
| [8] | 向葵, 胡文宝, 严良俊, 等. 川黔地区页岩复电阻率的频散特性[J]. 石油地球物理勘探, 2014,49(5):1013-1019. |
| [8] | XIANG K, HU W B, YAN L J, et al. Complex resistivity dispersion characteristics of shale samples in Sichuan and Guizhou area[J]. OGP, 2014,49(5):1013-1019. |
| [9] | 肖占山, 赵云生, 赵宝成, 等. 基于岩石电性参数频散特性的储层参数评价方法[J]. 物探与化探, 2019,43(5):1105-1110. |
| [9] | XIAO Z S, ZHAO Y S, ZHAO B C, et al. The evaluation method of reservoir parameters based on the rock’s electrical parameter dispersion properties[J]. Geophysical and Geochemical Exploration, 2019,43(5):1105-1110. |
| [10] | MADDEN T R, CANTWELL T . Induced polarization: A review [C]// presented at the Mining Geophysics（SEG）, 1967, Tulsa, Oklahoma, USA. USA. |
| [11] | 李斐, 郝卫峰, 王文睿, 等. 非线性病态问题解算的扰动分析[J]. 测绘学报, 2011,40(1):5-9. |
| [11] | LI F, HAO W F, WANG W R, et al. The perturbation analysis of nonlinear ill-conditioned solution[J]. Acta Geodaetica et Cartographica Sinica, 2011,40(1):5-9. |
| [12] | 李鹏飞, 严良俊, 余刚. 南方页岩岩芯的复电阻率测试与分析[J]. 工程地球物理学报, 2014,11(3):383-386. |
| [12] | LI P F, YAN L J, YU G. The southern shale core complex resistivity testing and analysis[J]. Journal of engineering geophysics, 2014,11(3):383-386. |
| [13] | 赵迪斐, 郭英海, 朱炎铭, 等. 龙马溪组页岩气复电阻率勘探的理论依据[J]. 非常规油气, 2016,3(3):15-20. |
| [13] | ZHAO D F, GUO Y H, ZHU Y M, et al. The theoretical basis of shale gas exploration with complex resistivity in Longmaxi Formation[J]. Uncoventional Oil & Gas, 2016,3(3):15-20. |
| [14] | 李春梅, 王翠方, 段雪峰. 求解一类矩阵迹极小问题的非线性共轭梯度法[J]. 数学杂志, 2020,40(3):323-331. |
| [14] | LI C M, WANG C F, DUAN X F. The nonlinear conjugate gradient method for solving a class of the matrix trace minimization problem[J]. Journal of Mathematics, 2020,40(3):323-331. |
| [15] | 刘红英, 张奇业. 多元二次函数极值的研究[J]. 高等数学研究, 2015,18(2):5-7. |
| [15] | LIU H Y, ZHANG Q Y. Necessary and sufficient conditions of quadratic function minimum[J]. Studies in College Mathmatics, 2015,18(2):5-7. |
| [16] | 王晓明, 朱一心. 关于二次型零点的注记[J]. 大学数学, 2020,36(3):23-28. |
| [16] | WANG X M, ZHU Y X. On the rank of zeros of a quadratic form[J]. College Mathematics, 2020,36(3):23-28. |
/
| 〈 |
|
〉 |