## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2014, Special Issue (2013), Article ID 105636, 7 pages.

### Determine the Inflow Performance Relationship of Water Producing Gas Well Using Multiobjective Optimization Method

#### Abstract

During the development of water drive gas reservoirs, the phenomena of gas escaping from water and water separating out from gas will change the seepage characteristics of formation fluid. Therefore, the traditional gas-water two-phase inflow performance relationship (IPR) models are not suitable for calculating the water producing gas well inflow performance relationship in water drive gas reservoirs. Based on the basic theory of fluid mechanics in porous medium, using the principle of mass conservation, and considering the process of dissolution and volatilization of gas and water formation, this paper establishes a new mathematical model of gas-water two-phase flow. Multiobjective optimization method is used to automatically match the sample well production data in water drive gas reservoirs and then we can achieve the sample well’s productivity equation, relative permeability curve, water influx intensity, and single well controlled reserves. In addition, the influence of different production gas water ratios (GWR) and gas-soluble water coefficients on absolute open flow rate (${q}_{\text{A}\text{O}\text{F}}$) is discussed. This method remedied the limitation of well testing on site and was considered to be a new way to analyze the production behaviors in water producing gas well.

#### Article information

Source
J. Appl. Math., Volume 2014, Special Issue (2013), Article ID 105636, 7 pages.

Dates
First available in Project Euclid: 1 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1412176446

Digital Object Identifier
doi:10.1155/2014/105636

#### Citation

Tan, Xiao-Hua; Liu, Jian-Yi; Zhao, Jia-Hui; Li, Xiao-Ping; Zhang, Guang-Dong; Tang, Chuan; Li, Li. Determine the Inflow Performance Relationship of Water Producing Gas Well Using Multiobjective Optimization Method. J. Appl. Math. 2014, Special Issue (2013), Article ID 105636, 7 pages. doi:10.1155/2014/105636. https://projecteuclid.org/euclid.jam/1412176446

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