Establishment and Application of a New Mathematical Model of Oil/Water Relative Permeability

doi:10.7657/XJPG20230110

Abstract

Abstract:

Large errors often occur in the fitting of oil-water two-phase flow data with the Willhite mathematical model. In this paper，a new mathematical model of oil/water relative permeability was proposed. When fitting the relative permeability curves of oil phase and water phase，the new model can use the multiple linear regression method with a single variable to obtain the optimal solution. Especially，when fitting the arched relative permeability curves of water phase，the difference between the optimal estimate of undetermined parameters in the arched curves and the optimal estimate of undetermined parameters in common concave relative permeability curves of water phase is small，so that the relative permeability curves of the standard water phase for multiple rock samples determined by using the arithmetic mean method are basically located in the middle of the relative permeability curves of water phase. After obtaining the relative permeability curves of the standard oil/water phase，combining with the Welge equation after water breakthrough in the oil production well，and by using the water displacing oil analytical method，the formulas for calculating parameters such as the water saturation at the water flooding front，the average water saturation after the water flooding front，water cut，and oil displacement efficiency were determined. This study provides a new method for investigating the water flooding laws.

Key words: oil phase, water phase, relative permeability, Willhite mathematical model, Welge equation, water displacing oil analytical method, water flooding law

CLC Number:

TE341

LI Jing, FAN Hui, LIU Chunru, YANG Fang. Establishment and Application of a New Mathematical Model of Oil/Water Relative Permeability[J]. Xinjiang Petroleum Geology, 2023, 44(1): 70-75.

Figures/Tables 7

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Table 1.

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