<p>In this study, an analytical solution is proposed for predicting steady one-dimensional sequential decay multi-species transport in a heterogeneous soil of finite size. The solution can concurrently account for all the system of equations related to sequentially decaying multi-species transport in a heterogeneous transport space both when the advective fluid is incompressible and&#xa0;compressible in the transport space. The developed solution is a general one as it can accommodate all valid linear and nonlinear spatial variations of the parameters of the multi-species transport equations in a transport space, including any user-defined linear or nonlinear variations of the sorption and decay terms of these equations. Further, it can be readily extended to include any user-imposed boundary conditions at the ends of a transport space. The developed solution is checked for its correctness by comparing it with other available analytical and numerical solutions for a few simple settings of the problem; further, a numerical check on it has also been carried out using the HYDRUS-1D numerical codes. The study shows that multi-species transport in a heterogeneous soil may be significantly affected by the heterogeneities of the soil and by the nature and distribution of the advective fluid passing through it.</p>

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An analytical solution for predicting the steady one-dimensional sequential decay multi-species transport in a heterogeneous soil with a compressible advective fluid

  • Bhargov Phukan,
  • Gautam Barua

摘要

In this study, an analytical solution is proposed for predicting steady one-dimensional sequential decay multi-species transport in a heterogeneous soil of finite size. The solution can concurrently account for all the system of equations related to sequentially decaying multi-species transport in a heterogeneous transport space both when the advective fluid is incompressible and compressible in the transport space. The developed solution is a general one as it can accommodate all valid linear and nonlinear spatial variations of the parameters of the multi-species transport equations in a transport space, including any user-defined linear or nonlinear variations of the sorption and decay terms of these equations. Further, it can be readily extended to include any user-imposed boundary conditions at the ends of a transport space. The developed solution is checked for its correctness by comparing it with other available analytical and numerical solutions for a few simple settings of the problem; further, a numerical check on it has also been carried out using the HYDRUS-1D numerical codes. The study shows that multi-species transport in a heterogeneous soil may be significantly affected by the heterogeneities of the soil and by the nature and distribution of the advective fluid passing through it.