Research Papers: Petroleum Engineering

New Relationship Between Resistivity Index and Relative Permeability

[+] Author and Article Information
Dong Ma

Key Laboratory of Exploration Technologies
for Oil and Gas Resources,
Ministry of Education,
Yangtze University,
Wuhan, Hubei 430100, China;
Petroleum Engineering College,
Yangtze University,
Wuhan, Hubei 430100, China
e-mail: madong@yangtzeu.edu.cn

Changwei Liu

School of Energy,
China University of Geosciences (Beijing),
Beijing 430100, China
e-mail: changweiliu@outlook.com

Changhui Cheng

Sinopec Jianghan Oil Field,
Wuhan, Hubei 430100, China
e-mail: cchjenny@163.com

Contributed by the Petroleum Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received April 26, 2014; final manuscript received October 15, 2014; published online November 7, 2014. Assoc. Editor: Sarma V. Pisupati.

J. Energy Resour. Technol 137(3), 032904 (May 01, 2015) (7 pages) Paper No: JERT-14-1134; doi: 10.1115/1.4028862 History: Received April 26, 2014; Revised October 15, 2014; Online November 07, 2014

Relative permeability as an important petrophysical parameter is often measured directly in the laboratory or obtained indirectly from the capillary pressure data. However, the literature on relationship between relative permeability and resistivity is lacking. To this end, a new model of inferring two-phase relative permeability from resistivity index data was derived on the basis of Poiseuille's law and Darcy's law. The wetting phase tortuosity ratio was included in the proposed model. The relative permeabilities computed from the capillary pressure data, as well as the experimental data measured in gas–water and oil–water flow condition, were compared with the proposed model. Both results demonstrated that the two-phase permeability obtained by proposed model were generally in good agreement with the data computed from capillary pressure and measured in the laboratory. The comparison also showed that our model was much better than Li model at matching the relative permeability data.

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Grahic Jump Location
Fig. 1

Fluid flow (electric flow) path at different water saturation in tortuous capillary tube

Grahic Jump Location
Fig. 2

Relative permeability calculated from resistivity and capillary pressure data

Grahic Jump Location
Fig. 4

Relative permeability curves from the steady-state experiment, from the Li's model, and from the proposed model

Grahic Jump Location
Fig. 5

Relative permeability curves from the unsteady-state experiment, from the Li's model, and from the proposed model

Grahic Jump Location
Fig. 3

Gas–water relative permeability curves from the experiment, from the Li's model, and from the proposed model



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