Establishment and Application of Functional Mathematical Model for Production Cycle of Oil and Gas Reservoirs

doi:10.7657/XJPG20230315

Abstract

Abstract:

The mathematical models for production cycle of oil and gas reservoirs were reviewed systematically. On this basis, the generalized functional production decline formula was introduced to replace the decline function in the generalized whole-process mathematical model for production cycle, and it is no longer necessary to determine the decline function according to the driving type and flow characteristics of the oil and gas reservoirs. Meanwhile, considering that the generalized whole-process mathematical model for production cycle can be integrated, the expressions of its increasing function items were summarized to form three types of increasing function expressions. When the composite time and undetermined parameters take different values, the new generalized whole-process mathematical model for production cycle can not only be converted into the basic mathematical models for various production cycles, but also form other new mathematical models for production cycle, possessing the general formula and extensibility in the whole-process mathematical model for production cycle. In order to reduce the difficulty in solving the undetermined parameters, five simplest and most common methods for solving the composite time formula and functional mathematical model for production cycle are given. The satisfactory application results verify that the new model is worthy of promotion in other oil and gas reservoirs.

Key words: oil and gas reservoir, mathematical model for production cycle, composite time, increasing function, functional, general formula, solution method

CLC Number:

TE341

MEN Haiwen, ZHANG Jing, WEI Haijun, ZHAO Yang, GAO Wenjun. Establishment and Application of Functional Mathematical Model for Production Cycle of Oil and Gas Reservoirs[J]. Xinjiang Petroleum Geology, 2023, 44(3): 365-374.

Figures/Tables 10

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