Finite element formulation for transport equations in a mixed co‐ordinate system: An application to determine temperature effects on the single‐well chemical tracer test

Y. J. Park*, H. A. Deans, T. E. Tezduyar

*この研究の対応する著者

研究成果: Article査読

3 被引用数 (Scopus)

抄録

Heterogeneous equation systems in a pair of coupled co‐ordinate systems are solved by a finite element method. The specific physical application studied is the effect of temperature on single‐well chemical tracer (SWCT) tests to measure residual oil saturation (volume fraction of immobile oil phase) remaining after waterflooding of an oil reservoir. Since temperature effects are caused by injecting cooler surface fluid down a well into a warm reservoir, the vertical temperature profile in the wellbore as well as the temperature distribution in the porous oil‐bearing layer must be considered. The entire system is modelled to account for the different transport mechanisms. However, it is expedient to divide the connected geometrical region into two model domains. The equations for each submodel are expressed in an appropriate set of co‐ordinates. The variational formulation of each model is then discussed. A significant temperature effect on the estimation of residual oil saturation occurs when the radial temperature and concentration wave propagation speeds in the porous formation are about the same. In this case the temperature gradient is located across the chemical tracer bank, causing the chemical reaction rate to vary radially. The temperature effects are demonstrated for two actual field tests in complex reservoirs.

本文言語English
ページ(範囲)769-790
ページ数22
ジャーナルInternational Journal for Numerical Methods in Fluids
11
6
DOI
出版ステータスPublished - 1990 10月 20
外部発表はい

ASJC Scopus subject areas

  • 計算力学
  • 材料力学
  • 機械工学
  • コンピュータ サイエンスの応用
  • 応用数学

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