| ANALYTICAL AND APPROXIMATE SOLUTION FOR SPHERICAL SYMMETRY DISPERSIVE TRANSPORT IN POROUS MEDIA |
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| 作者姓名： | Huang Jun-qi |
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| 作者单位： | Huang Jun-qi
Department of Resources and Environmental Sciences，Beijing Normal University，Beijing
100875，P. R. China
Liu Ci-qun
Institute of Porous Flow and Fluid Mechanics，Academia Sinica，Lang fang 102801，P. R.
China |
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| 基金项目： | This work was partially funded by China National Science Foundation [grant number 19372009] and by Environment and Disaster Laboratory of National Education Committee. |
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| 摘 要： | Spherical symmetry convective-dispersive transport of a tracer or contaminant from continue and slug injection well in semi-infinite porous media is of significance,especially for the tracer test in huge thick formation.The partial equation describing the transport process belongs to confluent hypergeometric equation.With variable substitution and Laplace transform,the partial equation may be coverted Weber equation and it's solution is represented by parabolic cylinder function.We found the analytical solution by analytical inversion.Besides,we also obtained the early-time and late-time approximate solution.In the paper we compared these solutions and investigated the basic characteristics of concentration distribution and change.In early-time and late-time the approximate solution is of significance.
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ANALYTICAL AND APPROXIMATE SOLUTION FOR SPHERICAL SYMMETRY DISPERSIVE TRANSPORT IN POROUS MEDIA |
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| Huang Jun-qi.ANALYTICAL AND APPROXIMATE SOLUTION FOR SPHERICAL SYMMETRY DISPERSIVE TRANSPORT IN POROUS MEDIA[J].Journal of Hydrodynamics,1997(4). |
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| Authors: | Huang Jun-qi |
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| Affiliation: | Huang Jun-qi
Department of Resources and Environmental Sciences,Beijing Normal University,Beijing
100875,P. R. China
Liu Ci-qun
Institute of Porous Flow and Fluid Mechanics,Academia Sinica,Lang fang 102801,P. R.
China |
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| Abstract: | Spherical symmetry convective-dispersive transport of a tracer or contaminant from continue and slug injection well in semi-infinite porous media is of significance, especially for the tracer test in huge thick formation. The partial equation describing the transport process belongs to confluent hypergeometric equation. With variable substitution and Laplace transform, the partial equation may be coverted Weber equation and it's solution is represented by parabolic cylinder function. We found the analytical solution by analytical inversion. Besides, we also obtained the early-time and late-time approximate solution. In the paper we compared these solutions and investigated the basic characteristics of concentration distribution and change. In early-time and late-time the approximate solution is of significance. |
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| Keywords: | porous media transport hydrogeology petroleum engineering |
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