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Discussed on a New Form of Resistivity Response Equation for Sandstone

Received: 19 October 2020    Accepted: 29 October 2020    Published: 9 November 2020
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Abstract

The resistivity response equation of sandstone is the most important basis for well logging interpretation to determine the water saturation of reservoir, but the Archie formula and its derivations are all empirical formulas, and the test error by experimental data is more than 20%. Because the coincidence rate of the log interpretation of low resistivity oil layers and high resistivity water layers is low in the current, In order to further improve the calculation accuracy of reservoir water saturation, it is particularly necessary to deeply understand the essence of rock conductivity. Based on the main influencing factors of rock conductivity, It is considered that for rocks with given formation water resistivity and porosity, the influence of pore structure, size, argillaceous content and conductive minerals on rock conductivity is constant and is an inherent factor. rock resistivity only changes with the change of connected pore water volume, Therefore, the establishment of the relationship between rock resistivity and connected pore water volume conforms to the functional relationship form of dependent variable and independent variable, and can reflect the nature of the rock-electricity relationship. On this basis, the model of rock conductivity per unit volume is proposed, the response equation of sandstone resistivity is deduced, and the general form of the response equation of sandstone resistivity is obtained. The results show that the formula is in good agreement with the experimental data, with a correlation coefficient of more than 0.99, and the test error of the experimental data is no more than 5%, which can represent the theoretical form of the rock resistivity response equation. The new formula considers that rock resistivity and connected pore water volume or water saturation are power functions, which solves some obscure problems in rock resistivity response equation for many years. The parameters of the formula are the inherent property parameters of rocks, which have certain value in use. Based on the new formula, the formula of calculating the water saturation of a reservoir by using the ratio of radial resistivity has been obtained in practical application to some extent. it shows that the new formula is not only of theoretical significance, but also of practical application significance, and is worth further popularizing.

Published in International Journal of Oil, Gas and Coal Engineering (Volume 8, Issue 6)
DOI 10.11648/j.ogce.20200806.12
Page(s) 130-136
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Rock Resistivity, Connected Water Pore Volume, Response Equation, Derivation Proof, Attribute Parameter

References
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[2] Simandoux P. Dielectric measurements of porous media: Application to measurement of water saturations, study of the behavior of argillaceous formations [J]. Revue de L, Institut Franais du Petrole, 1963, 18 (S1): 193~215.
[3] Mao Zhiqiang, Gong Huhua, Liu Changyu, et al. Experimental study on the gensis of low resistivity pay zone in north region of Tarim basin (I) [J]. Well Logging Technology, 1999, 23 (4): 243-245.
[4] Zhao Yanchao, Zhou Boran. Study on three kinds of conductivity models for shaly sand formations [J]. Well Logging Technology, 1998, 22 (2): 75-78.
[5] Sun Jianmeg, Wang Kewen, Li Wei. Development and analysis of logging saturation interpretation models [J]. Petroleum Exploration and Development, 2008, 35 (1): 101-107.
[6] Zhang Lihua, Pan Baozhi, Li Zhoubo, et al. The three-Water conductive model and its application in the evaluation of low-porosity and low-permeability reservoirs [J]. Oil Geophysical Prospecting, 2010, 45 (3): 431-435.
[7] Song Yanjie, Chen Jiqiang, Tang Xiaoming, et al. Three-water pore combination conductive model for low porosity and permeability shaly sand and its application to offshore oilfields [J]. Journal of Daqing Petroleum Institute, 2010, 34 (6): 106-110.
[8] Mao Zhiqiang, Zhi Weihong, Wang Rujun. Experimental study on the gensis of low resistivity pay zone in north region of Tarim basin (II) [J]. Well Logging Technology, 1999, 23 (6): 404-410.
[9] Zhao Yanchao, Wu Chunping, Wu Dongping. Logging evaluation to tight gas sandstone: a case study from the firstmember of shanxi formation in daniudi gas pool, ordos basin, china [J]. Geological Science and Technology Information, 2003, 22 (4): 65-70.
[10] Sheng Aixin, Wang Li, Chen Shoujun. Low reservoir resistivity and litho-electric experiment of each parameter in Archie equation [J]. Journal of Jianghan Petroleum Institute, 2003, 25 (suppl.): 24-25.
[11] Zhang Minlu, Shi Yujiang. On Archie’s electrical parameters of sandstone reservoir with complicated pore structures [J]. Well Logging Technology, 2005, 29 (5): 446-448.
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[14] Zhang Jie, Luo Jian, Xia Yu. Limitation analysis and modification of the Achie equation [J]. Chinese Journal of Geophysics, 2018, 61 (1): 311-322.
[15] An analysics of the factors to influence electrical properties of rocks based on a digital petrophysical experiment [J]. China offshore oil and gas, 2012, 24 (6): 12-16.
[16] Zhang Zhaohui, Gao Chuqiao, Gao Yongde. Theoretical simulation and analysis factors of resistivity in vuggy reservoir [J]. Journal of Southwest Petroleum University (Science & Technology Edition), 2014, 36 (2): 79-83.
[17] Zhang Jianhua, Liu Zhenhua, Wu Jie. Principle and application of electrical logging [M]. XiAn, Northwestern University Press, 2002.
[18] Yong Shihe, Zhang Chaomo. Log data processing and comprehensive interpretation [M]. DongYing, China University of Petroleum Press, 2007.
[19] Mo Xiuwen, He Duohua, Li Zhoubo, et al. The application of three -water conduction model in the interpretation of low-resistivity reservoir [J]. Journal of Changchun University of Science and Technology, 2001, 31 (1): 92-92.
[20] Ding Haiming, Wu Xiaoli. Research on logging interpretation methods for 3 Porosities in muddy sandstone [J]. Petroleum Geology & Oilfield Development in Daqing, 2005, 24 (4): 101-102.
[21] Song Yanjie, Zhang Yanan, Tang Xiaomin, et al. A conductivity model for dolomite reservoirs based on connectivity theory [J]. Journal of Harbin University of Commerce (Natural Sciences Edition), 2015, 31 (2): 247-252.
[22] Yang Kebing, Xi Li, Zhang Lei, et al. Study on a New Method for Calculating Water Saturation [J]. International Journal of Oil, Gas and Coal Engineering, 2019, 7 (6): 125-128.
[23] He Ling, Ding Yujiao, Chi Xiurong, et al. On quantitative qaturation evaluation method for internal cause low resistivity reservoirs in Qikou Sag [J]. Well Logging Technology, 2014, 38 (1): 51-58.
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Cite This Article
  • APA Style

    Yang Kebing, Liu Huan, Cao Cheng Cheng, Wu Xiaoning. (2020). Discussed on a New Form of Resistivity Response Equation for Sandstone. International Journal of Oil, Gas and Coal Engineering, 8(6), 130-136. https://doi.org/10.11648/j.ogce.20200806.12

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    ACS Style

    Yang Kebing; Liu Huan; Cao Cheng Cheng; Wu Xiaoning. Discussed on a New Form of Resistivity Response Equation for Sandstone. Int. J. Oil Gas Coal Eng. 2020, 8(6), 130-136. doi: 10.11648/j.ogce.20200806.12

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    AMA Style

    Yang Kebing, Liu Huan, Cao Cheng Cheng, Wu Xiaoning. Discussed on a New Form of Resistivity Response Equation for Sandstone. Int J Oil Gas Coal Eng. 2020;8(6):130-136. doi: 10.11648/j.ogce.20200806.12

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  • @article{10.11648/j.ogce.20200806.12,
      author = {Yang Kebing and Liu Huan and Cao Cheng Cheng and Wu Xiaoning},
      title = {Discussed on a New Form of Resistivity Response Equation for Sandstone},
      journal = {International Journal of Oil, Gas and Coal Engineering},
      volume = {8},
      number = {6},
      pages = {130-136},
      doi = {10.11648/j.ogce.20200806.12},
      url = {https://doi.org/10.11648/j.ogce.20200806.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ogce.20200806.12},
      abstract = {The resistivity response equation of sandstone is the most important basis for well logging interpretation to determine the water saturation of reservoir, but the Archie formula and its derivations are all empirical formulas, and the test error by experimental data is more than 20%. Because the coincidence rate of the log interpretation of low resistivity oil layers and high resistivity water layers is low in the current, In order to further improve the calculation accuracy of reservoir water saturation, it is particularly necessary to deeply understand the essence of rock conductivity. Based on the main influencing factors of rock conductivity, It is considered that for rocks with given formation water resistivity and porosity, the influence of pore structure, size, argillaceous content and conductive minerals on rock conductivity is constant and is an inherent factor. rock resistivity only changes with the change of connected pore water volume, Therefore, the establishment of the relationship between rock resistivity and connected pore water volume conforms to the functional relationship form of dependent variable and independent variable, and can reflect the nature of the rock-electricity relationship. On this basis, the model of rock conductivity per unit volume is proposed, the response equation of sandstone resistivity is deduced, and the general form of the response equation of sandstone resistivity is obtained. The results show that the formula is in good agreement with the experimental data, with a correlation coefficient of more than 0.99, and the test error of the experimental data is no more than 5%, which can represent the theoretical form of the rock resistivity response equation. The new formula considers that rock resistivity and connected pore water volume or water saturation are power functions, which solves some obscure problems in rock resistivity response equation for many years. The parameters of the formula are the inherent property parameters of rocks, which have certain value in use. Based on the new formula, the formula of calculating the water saturation of a reservoir by using the ratio of radial resistivity has been obtained in practical application to some extent. it shows that the new formula is not only of theoretical significance, but also of practical application significance, and is worth further popularizing.},
     year = {2020}
    }
    

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  • TY  - JOUR
    T1  - Discussed on a New Form of Resistivity Response Equation for Sandstone
    AU  - Yang Kebing
    AU  - Liu Huan
    AU  - Cao Cheng Cheng
    AU  - Wu Xiaoning
    Y1  - 2020/11/09
    PY  - 2020
    N1  - https://doi.org/10.11648/j.ogce.20200806.12
    DO  - 10.11648/j.ogce.20200806.12
    T2  - International Journal of Oil, Gas and Coal Engineering
    JF  - International Journal of Oil, Gas and Coal Engineering
    JO  - International Journal of Oil, Gas and Coal Engineering
    SP  - 130
    EP  - 136
    PB  - Science Publishing Group
    SN  - 2376-7677
    UR  - https://doi.org/10.11648/j.ogce.20200806.12
    AB  - The resistivity response equation of sandstone is the most important basis for well logging interpretation to determine the water saturation of reservoir, but the Archie formula and its derivations are all empirical formulas, and the test error by experimental data is more than 20%. Because the coincidence rate of the log interpretation of low resistivity oil layers and high resistivity water layers is low in the current, In order to further improve the calculation accuracy of reservoir water saturation, it is particularly necessary to deeply understand the essence of rock conductivity. Based on the main influencing factors of rock conductivity, It is considered that for rocks with given formation water resistivity and porosity, the influence of pore structure, size, argillaceous content and conductive minerals on rock conductivity is constant and is an inherent factor. rock resistivity only changes with the change of connected pore water volume, Therefore, the establishment of the relationship between rock resistivity and connected pore water volume conforms to the functional relationship form of dependent variable and independent variable, and can reflect the nature of the rock-electricity relationship. On this basis, the model of rock conductivity per unit volume is proposed, the response equation of sandstone resistivity is deduced, and the general form of the response equation of sandstone resistivity is obtained. The results show that the formula is in good agreement with the experimental data, with a correlation coefficient of more than 0.99, and the test error of the experimental data is no more than 5%, which can represent the theoretical form of the rock resistivity response equation. The new formula considers that rock resistivity and connected pore water volume or water saturation are power functions, which solves some obscure problems in rock resistivity response equation for many years. The parameters of the formula are the inherent property parameters of rocks, which have certain value in use. Based on the new formula, the formula of calculating the water saturation of a reservoir by using the ratio of radial resistivity has been obtained in practical application to some extent. it shows that the new formula is not only of theoretical significance, but also of practical application significance, and is worth further popularizing.
    VL  - 8
    IS  - 6
    ER  - 

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Author Information
  • Petrochina Huabei Oilfield Company, Renqiu, China

  • Zhangjiakou University, School of Tourism and Environment, Zhangjiakou, China

  • Petrochina Huabei Oilfield Company, Renqiu, China

  • Petrochina Huabei Oilfield Company, Renqiu, China

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