An Interpretation Method for a Gas Production Profile Based on the Temperature and Pressure Behavior of Low-Permeability

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RESEARCH ARTICLE-PETROLEUM ENGINEERING

An Interpretation Method for a Gas Production Profile Based on the Temperature and Pressure Behavior of Low-Permeability Gas Reservoirs Haitao Li1 · Yahui Li1,2 · Yihan Feng3 · Jibin Zhong4 · Hongwen Luo1 Received: 9 December 2018 / Accepted: 16 April 2020 © King Fahd University of Petroleum & Minerals 2020

Abstract This study aims to interpret the temperature and pressure behavior of an open-hole horizontal gas well (OHHGW) in a lowpermeability gas reservoir in order to obtain the permeability and production profile of the OHHGW. First, the mathematical model, which is comprised of viscous dissipation, friction, the Joule–Thomson effect, and several other micro-thermal effects, was developed under a single-phase condition. Second, during the process of solving the numerical model, the drilling skin, heterogeneity, and non-Darcy effect were taken into consideration. In addition, the reservoir and wellbore models were coupled. Third, the testing temperature and pressure data were inverted using the Levenberg–Marquardt (LM) or Markov Chain simulated annealing algorithms, and the permeability and production profiles of the wellbore were obtained. The synthetic cases demonstrate the models’ ability to predict the temperature profile, and the results show the following: (a) The inversion results are in good agreement with the actual data, that is, the model can provide effective guidance for horizontal well development. (b) The wellbore temperature is lower than that of the reservoir boundary, so the micro-thermal effects for the horizontal gas well cannot be ignored during production. (c) As the gas production, the relative density of the gas, and the drilling skin factor increase, the wellbore temperature profile gradually decreases. The wellbore temperature increases with increasing horizontal permeability. (d) The trend of the temperature profile is contrary to the flow path of the wellbore fluid. (e) Reservoir heterogeneity has a significant influence on the temperature profile. Keywords Horizontal gas well · Distributed temperature sensing · Temperature profile · Micro-thermal effects · Lowpermeability gas reservoirs

1 Introduction Usually, the horizontal section of a horizontal well is very long, so the permeability profile along the wellbore exhibits large variations, after a period of production time, and the well is very prone to experience punctuated water production.

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Yahui Li [email protected]

1

State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China

2

School of Chemistry and Chemical Engineering, Yulin University, Yulin 719000, China

3

Changqing Well Logging Division of Logging Co. Ltd., Petro China, Xi’an 710201, China

4

Exploration and Development Research Institute of Changqing Oil Field, CNPC, Xi’an 710018, China

When water control measures are taken in horizontal wells, the permeability distribution along the well must be known. Many studies have investigated the theoretical cal