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An efficient and accurate numerical modeling for measuring moisture content profiles in an unsaturated porous medium

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  • Gosiya, Sanjay L.
  • Pradhan, Vikas H.

Abstract

The Richards’ equation (RE), a non-linear elliptic-parabolic partial differential equation, is extensively used to simulate the flow processes in the unsaturated porous medium. This equation’s coefficients include two highly non-linear functions associated with unsaturated hydraulic conductivity, soil water potential, and soil water content. Various standard models are available in the literature to express these non-linear functions, potentially leading to significantly different outcomes in unsaturated flow problems. van Genuchten model is most widely used to express these non-linear functions for measuring accurate moisture content profiles. This paper presents the numerical results of a mixed form of RE based on this model using the Crank-Nicolson finite difference scheme. We compare the obtained numerical results with the available analytical and experimental results to verify the model. Accurate numerical results are also presented by comparing them with those obtained from Hydrus-1D, a widely used numerical tool for solving the RE. Notwithstanding, the numerical results are extended in 2D and 3D.

Suggested Citation

  • Gosiya, Sanjay L. & Pradhan, Vikas H., 2026. "An efficient and accurate numerical modeling for measuring moisture content profiles in an unsaturated porous medium," Applied Mathematics and Computation, Elsevier, vol. 521(C).
    • Handle: RePEc:eee:apmaco:v:521:y:2026:i:c:s0096300326000135
    DOI: 10.1016/j.amc.2026.129961
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