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Predicting the Dryness Fraction of Gas,Pressure, and Temperature for Steam Injection Based on Unsteady Heat Transmission
Authors:J. Xu  L. Yao  Z. Wu  S. Wang  B. Qi
Affiliation:1. Uncertainty Decision-Making Laboratory , Sichuan University , Chengdu , China;2. Uncertainty Decision-Making Laboratory , Sichuan University , Chengdu , China;3. College of Mathematics, Chengdu University of Information Technology , Chengdu , China;4. Research School of Engineering Technology, China Petroleum and Chemical Corp , Deyang , China
Abstract:Abstract

Presently, a coupled system model of differential equations is proposed to predict the dryness fraction of gas, the pressure, the temperature in the wellbore, and the temperature in the stratum. In this model, the authors consider the energy loss caused by the friction of the stem flow and the unsteady heat transmission, which caused the change of the temperature in the stratum, from the second interface to the stratum. Then the fourth-order Runge-Kutta method and the finite difference method are interactively applied to solve the model. Finally, a high-temperature–high-pressure gas well (7,100 m depth) in the Sichuan province of China is used to check the efficiency of the proposed model and the algorithms.
Keywords:coupled system  finite difference method  injection well  Runge-Kutta method  sensitivity analysis
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