Volume 8, Issue 6, November 2020, Page: 130-136
Discussed on a New Form of Resistivity Response Equation for Sandstone
Yang Kebing, Petrochina Huabei Oilfield Company, Renqiu, China
Liu Huan, Zhangjiakou University, School of Tourism and Environment, Zhangjiakou, China
Cao Cheng Cheng, Petrochina Huabei Oilfield Company, Renqiu, China
Wu Xiaoning, Petrochina Huabei Oilfield Company, Renqiu, China
Received: Oct. 19, 2020;       Accepted: Oct. 29, 2020;       Published: Nov. 9, 2020
DOI: 10.11648/j.ogce.20200806.12      View  31      Downloads  10
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.
Rock Resistivity, Connected Water Pore Volume, Response Equation, Derivation Proof, Attribute Parameter
To cite this article
Yang Kebing, Liu Huan, Cao Cheng Cheng, Wu Xiaoning, Discussed on a New Form of Resistivity Response Equation for Sandstone, International Journal of Oil, Gas and Coal Engineering. Vol. 8, No. 6, 2020, pp. 130-136. doi: 10.11648/j.ogce.20200806.12
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Archie, G. E. The electrical resistivity log as an aid in determining some reservoir characteristics [J]. Tnas Am Inst MechEng, 1942, 146: 54~61.
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.
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.
Zhao Yanchao, Zhou Boran. Study on three kinds of conductivity models for shaly sand formations [J]. Well Logging Technology, 1998, 22 (2): 75-78.
Sun Jianmeg, Wang Kewen, Li Wei. Development and analysis of logging saturation interpretation models [J]. Petroleum Exploration and Development, 2008, 35 (1): 101-107.
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.
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.
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.
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.
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.
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.
Sun Jianguo. Archie's formula: historical background and earlier debates [J]. Progress in Geophysics, 2007, 22 (2): 472-486.
Yang Kebing, Wang Jinfei, Ma Fengqin, et al. Analysis and Countermeasures about applicable conditions of Archie's Formula [J]. Natural Gas and Oil, 2018, 36 (2): 58-63.
Zhang Jie, Luo Jian, Xia Yu. Limitation analysis and modification of the Achie equation [J]. Chinese Journal of Geophysics, 2018, 61 (1): 311-322.
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.
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.
Zhang Jianhua, Liu Zhenhua, Wu Jie. Principle and application of electrical logging [M]. XiAn, Northwestern University Press, 2002.
Yong Shihe, Zhang Chaomo. Log data processing and comprehensive interpretation [M]. DongYing, China University of Petroleum Press, 2007.
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.
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.
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.
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.
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.
Jing Wanxue, Chen Yongji. On the Original Physical Model of Archie Formula [J]. Well Logging Technology, 1997, 21 (4): 289-291.
Yang Kebing, Yuan Xiaohong, Liu Mingbo, et al. Resistivity ratio method to evaluate oil-water layer [J]. Natural Gas Exploration & Development, 2015, 38 (1): 37-39.
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