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Two new semiexplicit algorithms for the coupled soil–pore fluid problem are developed in this article. The stability of the new algorithms is much better than that of the previous algorithm. The first new scheme (H*-scheme) based on operator splitting before spatial discretization can avoid the restriction of mixed formulation in the incompressible (zero permeability) limit. The steady-state formulation is discussed to verify this argument. Several examples illustrate the article.