Skip to main content
Log in

Wireline Logs Constraint Borehole-to-Surface Resistivity Inversion Method and Water Injection Monitoring Analysis

  • Published:
Pure and Applied Geophysics Aims and scope Submit manuscript

Abstract

Detection of the oil–water encroachment front is of great importance to water injection of oil reservoirs. In borehole-to-surface electrical imaging (BSEI), a high-power direct current is applied into a borehole through a well case and the electric potential on the surface, which is affected by the subsurface electrical change, is measured. However, further accurate interpretation of BSEI data is difficult due to the weak surface response, deep target layer, long inversion time, and uncertainty in unconstrained inversion. Therefore, a new method to enhance the surface response of the anomalous body and a new three-dimensional inversion approach based on the damped least-squares method are proposed. Simulation of the water injection and fracturing process was modeled in three dimensions using the finite difference method and the incomplete Cholesky conjugate gradient method. The inversion approach was applied by using the log data to construct a layered resistivity model and constrain the inversion. The forward modeling results suggest that the electric potential gradient can enhance the response of electrical variations in the target layer and help estimate the water injection direction, depending on the distance of electrical anomalies and the current source. In actual water injection monitoring, the BSEI inversion results suggest that layered resistivity model constrained three-dimensional inversion can improve the precision and accuracy of the resistivity inversion results and outline the water injection channeled to the adjacent wells.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  • Bai, Z., Tan, M. J., & Zhang, F. L. (2016). Three-dimensional forward modeling and inversion of borehole-to-surface electrical imaging with different power sources. Applied Geophysics, 13(3), 437–448.

    Article  Google Scholar 

  • Beasley, C. W., & Ward, S. H. (1986). Three-dimensional mise-à-la-masse modeling applied to mapping fracture zones. Geophysics, 51(1), 98–113.

    Article  Google Scholar 

  • Bevc, D., & Morrison, H. F. (1991). Borehole-to-surface electrical resistivity monitoring of salt water injection experiment. Geophysics, 56(6), 769–777.

    Article  Google Scholar 

  • 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.

  • Dai, Q. W., Hou, Z. C., & 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.

    Google Scholar 

  • De Carlo, L., Perri, M. T., Caputo, M. C., et al. (2013). Characterization of a dismissed landfill via electrical resistivity tomography and mise-à-la-masse method. Journal of Applied Geophysics, 98, 1–10.

    Article  Google Scholar 

  • Dey, A., & Morrison, H. F. (1979). Resistivity modeling for arbitrarily shaped two-dimensional structures. Geophysical Prospecting, 27(1), 106–136.

    Article  Google Scholar 

  • Hermans, T., Kemna, A., & Nguyen, F. (2015). Covariance-constrained difference inversion of time-lapse electrical resistivity tomography data. Geophysics, 81(5), E311–E322.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Hong, D. C., Li, H., Huang, W. F., et al. (2020). Investigation of borehole effects on azimuthal resistivity measurements using novel pseudo-analytic formulas. Geophysical Prospecting, 68(2), 709–720.

    Article  Google Scholar 

  • LeMasne, D., & 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.

    Article  Google Scholar 

  • Li, Y. G., & Spitzer, K. (2002). Three-dimensional DC resistivity forward modelling using finite elements in comparison with finite-difference solutions. Geophysical Journal International, 151(3), 924–934.

    Article  Google Scholar 

  • Li, Y. G., & 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.

    Article  Google Scholar 

  • Lian, J. (2007). Research on forward modeling and inversion of vertical line source borehole-ground DC method, MSc Thesis, China University of Geosciences (Beijing), Beijing.

  • 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.

    Google Scholar 

  • Loke, M. H., & Barker, R. D. (1995). Least-squares deconvolution of apparent resistivity pseudo sections. Geophysics, 60(6), 1682–1690.

    Article  Google Scholar 

  • Mizunaga, H., & Ushijima, K. (1991). Three-dimensional numerical modeling for the mise-à-la-masse method. Geophysics, 44(4), 215–226.

    Google Scholar 

  • Nimmer, R. E., & Osiensky, J. L. (2002). Using mise-à-la-masse to delineate the migration of a conductive tracer in partially saturated basalt. Environmental Geosciences, 9(2), 81–87.

    Article  Google Scholar 

  • Pardo, D., Torres-Verdín, C., & 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), F261–F268.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Qu, Y. H. (2008). The 3-D numerical simulation and inversion for borehole-to-ground resistivity survey & dual frequency induced polarization. Beijing: China University of Geosciences (Beijing).

    Google Scholar 

  • Scriba, H. (1981). Computation of the electrical potential in three dimensional structures. Geophysical Prospecting, 29(5), 790–802.

    Article  Google Scholar 

  • Spitzer, K. (1995). A 3-D finite-difference algorithm for DC resistivity modeling using conjugate gradient methods. Geophysical Journal International, 123(3), 903–914.

    Article  Google Scholar 

  • Su, B. Y., Fujimitsu, F., & Song, J. Y. (2012). Surface–borehole electric potential survey in layered media and its applications. Journal of Central South University, 19, 1109–1115.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Wang, L., Deng, S., Zhang, P., et al. (2019). Detection performance and inversion processing of logging-while-drilling extra-deep azimuthal resistivity. Petroleum Science, 16, 1015–1027.

    Article  Google Scholar 

  • Wang, L., & Fan, Y. R. (2019). Fast inversion of logging-while-drilling azimuthal resistivity measurements for geosteering and formation evaluation. Journal of Petroleum Science and Engineering, 176, 342–351.

    Article  Google Scholar 

  • Wang, Z. G., He, Z. X., & Wei, W. B. (2007). 3D modeling and Born approximation inversion for the borehole surface electromagnetic method. Applied Geophysics, 4(2), 84–88.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • Wang, C. W., Li, S. C., Liu, B., et al. (2016). 3D constrained electrical resistivity inversion method based on reference model. Chinese Journal of Geotechnical Engineering, 38(9), 1685–1694.

    Google Scholar 

  • Wang, T., Stodt, J. A., Stierman, D. J., et al. (1991). Mapping hydraulic fractures using a borehole-to-surface electrical resistivity method. Geoexploration, 28(3–4), 349–369.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Wu, X. P., & Xu, G. M. (2000). Study on 3-D resistivity inversion using conjugate gradient method. Chinese Journal of Geophysics, 43(3), 421–426.

    Article  Google Scholar 

  • Wu, X. P., Xu, G. M., & Li, S. C. (1998). The calculation of three-dimensional geoelectric field of point source by incomplete Cholesky conjugate gradient method. Acta Geophysica Sinica (in Chinese), 41(6), 848–855.

    Google Scholar 

  • Zhang, Y. (2009). The forward modeling of Three-dimensional borehole-to-surface logging technology. MSc Thesis, Ocean University of China, Qingdao.

  • 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.

    Article  Google Scholar 

  • Zhang, Y. Y., Liu, D. J., Zhu, G. X., et al. (2015). 3D forward modeling of borehole-to-surface electric potential measurement system. Progress in Geophysics, 30(4), 1849–1855.

    Google Scholar 

  • 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.

Download references

Acknowledgements

This study of borehole-to-surface electrical imaging (BSEI) was conducted under the guidance of Prof. Dr. Maojin Tan. Fulai Zhang provided the partial data, and Dr. Ze Bai gave useful advice. We thank Andong Wang, Qian Wang, Junqing Rong, and Yi Yuan for their assistance with the log chart. This work is sponsored by National Natural Science Foundation of China (41774144) and National Major Projects “Development of Major Oil & Gas Fields and Coal Bed Methane” (2016ZX05014-001).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Maojin Tan.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, Q., Tan, M., Zhang, F. et al. Wireline Logs Constraint Borehole-to-Surface Resistivity Inversion Method and Water Injection Monitoring Analysis. Pure Appl. Geophys. 178, 939–957 (2021). https://doi.org/10.1007/s00024-021-02674-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00024-021-02674-6

Keywords

Navigation