APPLIED GEOPHYSICS
 
        Home  |  Copyright  |  About Journal  |  Editorial Board  |  Indexed-in  |  Subscriptions  |  Download  |  Contacts Us  |  中文
APPLIED GEOPHYSICS  2016, Vol. 13 Issue (3): 437-448    DOI: 10.1007/s11770-016-0575-8
article Current Issue | Next Issue | Archive | Adv Search Previous Articles  |  Next Articles  
Three-dimensional forward modeling and inversion of borehole-to-surface electrical imaging with different power sources
Bai Ze1, Tan Mao-Jin1,2, and Zhang Fu-Lai3
1. School of Geophysics and Information Technology of China University of Geosciences, Beijing 100083, China.
2. Key laboratory of Geo-detection (China University of Geosciences), Ministry of Education, Beijing 100083, China.
3. Beijing Horizontal Hualong Technology Ltd., Beijing 100049, China.
 Download: PDF (1476 KB)   HTML ( KB)   Export: BibTeX | EndNote (RIS)      Supporting Info
Abstract Borehole-to-surface electrical imaging (BSEI) uses a line source and a point source to generate a stable electric field in the ground. In order to study the surface potential of anomalies, three-dimensional forward modeling of point and line sources was conducted by using the finite-difference method and the incomplete Cholesky conjugate gradient (ICCG) method. Then, the damping least square method was used in the 3D inversion of the formation resistivity data. Several geological models were considered in the forward modeling and inversion. The forward modeling results suggest that the potentials generated by the two sources have different surface signatures. The inversion data suggest that the low-resistivity anomaly is outlined better than the high-resistivity anomaly. Moreover, when the point source is under the anomaly, the resistivity anomaly boundaries are better outlined than when using a line source.
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
Key wordsBorehole-to-surface electrical imaging   different types of exciting sources   potential characteristic   forward modeling   resistivity inversion     
Received: 2016-01-28;
Fund:

This work was sponsored by the National Major Project (No. 2016ZX05014-001), the National Natural Science Foundation of China (No. 41172130 and U1403191), and the Fundamental Research Funds for the Central Universities (No. 2-9-2015-209).

Cite this article:   
. Three-dimensional forward modeling and inversion of borehole-to-surface electrical imaging with different power sources[J]. APPLIED GEOPHYSICS, 2016, 13(3): 437-448.
 
[1] Beasley, C. W., and Ward, S. H., 1986, Tree-dimensional mise-a-la-masse modeling applied to mapping fracture zones: Geophysics, 51(1), 98−113.
[2] Bevc, D., and Morrison, H. F., 1991, Borehole-to-surface electrical resistivity monitoring of salt water injection experiment: Geophysics, 56(6), 769−777.
[3] Chen, D. P., 2009, 3D FEM forward modeling research of borehole-to-surface DC method drived by the arbitrary linear current source: Msc Thesis, Central South University, Hunan.
[4] Chen, Y. X., 2012, Three-dimensional FEM numerical simulation of borehole-ground potential with gradient current source: Msc Thesis, Central South University, Hunan.
[5] Dai, Q. W., Hou, Z. C., and Wang, H. H., 2013, Analysis of anomaly of Borehole-to-surface electrical method by 2.5D finite element numerical simulation: Geophysical Computing Technology, 35(4), 458−462.
[6] David, P., Carlos, T. V., and Zhang, Z. Y., 2008, Sensitivity study of borehole-to-surface and crosswell electromagnetic measurements acquired with energized steel casing to water displacement in hydrocarbon-bearing layers: Geophysics, 73(6), 261−268.
[7] Dey, A., and Morrison, H. F., 1979, Resistivity modeling for arbitrarily shaped two-dimensional structures: Geophysical Prospecting, 27(1), 106−136.
[8] Du, L. Z., Jiang, X. M., Qu, J. W., et al., 2013, Experimental study on abnormal electric field distribution of surface-borehole electrical method: Global Geology, 3(32), 558−589.
[9] Gu, J. W., Li, F. J., Liu, Y., et al., 2015, Establishing and solving of a one-dimensional well-ground potential model: Journal of China University of Petroleum, 39(6), 100−102.
[10] Ho, T. L., 2009, 3-D inversion of borehole-to-surface electrical data using a back-propagation neural network: Journal of Applied Geophysics, 68(4), 489−499.
[11] LeMasne, D., and Poirmeur, C., 1988, Three-dimensional model results for an electrical hole-to-surface method: Application to the interpretation of a filed survey: Geophysics, 53(1), 85−103.
[12] Li, Y. G., and Spitzer, K., 2002, Tree-dimensional DC resistivity forward modeling using finite elements in comparison with finite-difference solutions: Geophysics Journal International, 151(3), 924−934.
[13] Li, Y. G., and Spitzer, K., 2005, Finite element resistivity modeling for three-dimensional structures with arbitrary anisotropy: Physics of the Earth and Planetary Interiors, 150(1−3), 15−27.
[14] Lian, J., 2007, Research on forward modeling and inversion of vertical line source borehole-ground DC method: M sc Thesis, China University of Geosciences (Beijing), Beijing.
[15] Liu, H. F., Chen, D. P., Dai, Q. W., et al., 2011, 3D FEM modeling of borehole-surface potential with line current source in semi-underground space of continuous variation of conductivity: Journal of Guilin University of Technology, 31(1), 29−38.
[16] Loke, M. H., and Barker, R. D., 1995, Least-squares deconvolution of apparent resistivity pseudosections: Geophysics, 60(6), 1682−1690.
[17] Lorenzo, D. C., Maria, T. P., Maria, C. C., et al., 2013, Characterization of dismissed landfill via electrical resistivity tomography and mise-a-la-masse method: Journal of Applied Geophysics, 98, 1−10.
[18] Mizunaga, H., and Ushijima, K., 1991, Three-Dimensional numerical modeling for the mise-a-la-masse method: Geophysical Exploration (Butsurib-Tansa), 44(4), 215−226.
[19] Nimmer, R. E., and Osiensky, J. L., 2002, Using mise-a-la-masse to delineate the migration of conductive tracer in partially saturated basalt: Environmental Geosciences, 9(2), 8−87.
[20] Perri, M. T., Cassiani, G., Gervasio, I., et al., 2012, A saline tracer test monitored via both surface and cross-borehole electrical resistivity tomography: comparison of time-lapse results: Journal of Applied Geophysics, 79, 6−16.
[21] Pridmore, D. F., Hohmann, G. W., Ward, S. H., et al., 1981, An investigation of finite-element modeling for electrical and electromagnetic data in three dimensions: Geophysics, 46(7), 1009−1024.
[22] Scriba, H., 1981, Computation of the electrical potential in three dimension structures: Geophysical Prospecting, 29(5), 790−802.
[23] Spitzer, K., 1995, A 3-D finite-difference algorithm for DC resistivity modeling using conjugate gradient methods: Geophysical Journal International, 123(3), 903−914.
[24] Su, B. Y., Fujimitsu, Y., Xu, J. L., et al., 2012, A model study of residual oil distribution jointly using crosswell and borehole-surface electric potential methods: Applied Geophysics, 9(1), 19−26.
[25] Surendra, R. P., 2004, Tracing groundwater flow by mise-a-la-masse measurement of injected saltwater: Journal of Environmental and Engineering Geophysics, 9(3), 155−165.
[26] Tan, H. Q., Shen, J. S., Zhou, C., et al., 2004, Borehole-to-surface electrical imaging technique and its application to residual oil distribution analysis of the eighth section in Gudong Oilfield: Journal of the University of Petroleum, China, 28(2), 32−37.
[27] Thomas, H., Andreas, K., and Frederic, N., 2015, Covariance-constrained difference inversion of time-lapse electrical resistivity tomography data: Geophysics, 81(5), 311−322.
[28] Tsili, W., Stodt, J. A., Stierman, D. J., et al., 1991, Mapping hydraulic fracture using a borehole-to-surface electrical resistivity method: Geoexploration, 28(3−4), 349−369.
[29] Tsourlos, P., Ogilvy, R., Papazachos, C., et al., 2011, Measurement and inversion schemes for single borehole-to-surface electrical resistivity tomography surveys: Geophysics and Engineering, 8(4), 487−497.
[30] Tsourlos, P., Papadopoulos, N., Papazachos, C., et al., 2014, Efficient 2D inversion of long ERT section: Journal of Applied Geophysics, 105, 213−224.
[31] Wang, Z. G., He, Z. X., Wei, W. B., et al., 2005, 3-D physical model experiments of well-to-ground electrical survey: Oil Geophysical Prospecting, 40(5), 595−597.
[32] Wu, X. P., 2003, A 3-D finite-element algorithm for DC resistivity modeling using the shifted incomplete Cholesky conjugate gradient method: Geophysical Journal International, 154(3), 947−956.
[33] Wu, X. P., and Xu, G. M., 2000, Study on 3-D resistivity inversion using conjugate gradient method: Chinese Journal of Geophysics, 43(3), 421−426.
[34] Wu, X. P., Xu, G. M., and Li, S. C., 1998, The calculation of Three-dimensional geoelectric field of point source by incomplete Cholesky conjugate gradient method: Acta Geophysica Sinica, 41(6), 848−855.
[35] Zhang, Y. Y., Liu, D. J., Ai, Q. H., et al., 2014, 3D modeling and inversion of the electrical resistivity tomography using steel cased boreholes as long electrodes: Journal of Applied Geophysics, 109, 292−300.
[36] Zhang, Y., 2009, The forward modeling of Three-dimensional borehole-to-surface logging technology: MSc thesis, Ocean University of China, Qingdao.
[37] Zhou, X. R., Zhong, B. S., Jiang, Y. L., et al., 1986: Numerical simulation technology of electrical prospecting, Sichuan Science and Technology Press, Chengdu, 163−239.
[38] Zhou, Y. Q., 2015, 2.5-D modeling and inversion of the surface to hole resistivity imaging research and application: Msc Thesis, East China Institute of Technology, Jiangxi.
[1] Liu Guo-Feng, Meng Xiao-Hong, Yu Zhen-Jiang, and Liu Ding-Jin. An efficient scheme for multi-GPU TTI reverse time migration*[J]. APPLIED GEOPHYSICS, 2019, 16(1): 61-69.
[2] Zhang Zhen-Bo, Xuan Yi-Hua, and Deng Yong. Simultaneous prestack inversion of variable-depth streamer seismic data*[J]. APPLIED GEOPHYSICS, 2019, 16(1): 99-108.
[3] Li Kun, Chen Long-Wei, Chen Qing-Rui, Dai Shi-Kun, Zhang Qian-Jiang, Zhao Dong-Dong, and Ling Jia-Xuan. Fast 3D forward modeling of the magnetic field and gradient tensor on an undulated surface[J]. APPLIED GEOPHYSICS, 2018, 15(3-4): 500-512.
[4] Sun Si-Yuan, Yin Chang-Chun, Gao Xiu-He, Liu Yun-He, and Ren Xiu-Yan. Gravity compression forward modeling and multiscale inversion based on wavelet transform[J]. APPLIED GEOPHYSICS, 2018, 15(2): 342-352.
[5] Zhang Bo, Yin Chang-Chun, Liu Yun-He, Ren Xiu-Yan, Qi Yan-Fu, Cai Jing. 3D forward modeling and response analysis for marine CSEMs towed by two ships[J]. APPLIED GEOPHYSICS, 2018, 15(1): 11-25.
[6] Huang Xin, Yin Chang-Chun, Cao Xiao-Yue, Liu Yun-He, Zhang Bo, Cai Jing. 3D anisotropic modeling and identification for airborne EM systems based on the spectral-element method[J]. APPLIED GEOPHYSICS, 2017, 14(3): 419-430.
[7] Wang Jun-Lu, Lin Pin-Rong, Wang Meng, Li Dang, Li Jian-Hua. Three-dimensional tomography using high-power induced polarization with the similar central gradient array[J]. APPLIED GEOPHYSICS, 2017, 14(2): 291-300.
[8] Liu Xin, Liu Yang, Ren Zhi-Ming, Cai Xiao-Hui, Li Bei, Xu Shi-Gang, Zhou Le-Kai. Hybrid absorbing boundary condition for three-dimensional elastic wave modeling[J]. APPLIED GEOPHYSICS, 2017, 14(2): 270-278.
[9] Fang Gang, Ba Jing, Liu Xin-Xin, Zhu Kun, Liu Guo-Chang. Seismic wavefield modeling based on time-domain symplectic  and Fourier finite-difference method[J]. APPLIED GEOPHYSICS, 2017, 14(2): 258-269.
[10] Zhao Hu, Wu Si-Hai, Yang Jing, Ren Da, Xu Wei-Xiu, Liu Di-Ou, Zhu Peng-Yu. Designing optimal number of receiving traces based on simulation model[J]. APPLIED GEOPHYSICS, 2017, 14(1): 49-55.
[11] Chen Hui, Deng Ju-Zhi Yin Min, Yin Chang-Chun, Tang Wen-Wu. Three-dimensional forward modeling of DC resistivity using the aggregation-based algebraic multigrid method[J]. APPLIED GEOPHYSICS, 2017, 14(1): 154-164.
[12] Wang Tao, Tan Han-Dong, Li Zhi-Qiang, Wang Kun-Peng, Hu Zhi-Ming, Zhang Xing-Dong. 3D finite-difference modeling algorithm and anomaly features of ZTEM[J]. APPLIED GEOPHYSICS, 2016, 13(3): 553-560.
[13] Yin Chang-Chun, Zhang Ping, Cai Jing. Forward modeling of marine DC resistivity method for a layered anisotropic earth[J]. APPLIED GEOPHYSICS, 2016, 13(2): 279-287.
[14] Li Jun-Jie, Yan Jia-Bin, Huang Xiang-Yu. Precision of meshfree methods and application to forward modeling of two-dimensional electromagnetic sources[J]. APPLIED GEOPHYSICS, 2015, 12(4): 503-515.
[15] Zhu Chao, Guo Qing-Xin, Gong Qing-Shun, Liu Zhan-Guo, Li Sen-Ming, Huang Ge-Ping. Prestack forward modeling of tight reservoirs based on the Xu–White model[J]. APPLIED GEOPHYSICS, 2015, 12(3): 421-431.
Copyright © 2011 APPLIED GEOPHYSICS
Support by Beijing Magtech Co.ltd support@magtech.com.cn