Parallel finite layer method for groundwater flow and its homotopy inversion algorithm
Received:February 01, 2020  Revised:June 23, 2020
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DOI:10.7511/jslx20200201001
KeyWord:groundwater flow  finite layer method  parallel computing  parameter inversion  homotopy method
        
AuthorInstitution
王少伟 烟台大学 土木工程学院, 烟台
徐进 烟台大学 土木工程学院, 烟台
杨伟涛 烟台大学 土木工程学院, 烟台
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Abstract:
      According to the decouplization of the finite layer scheme,efficient parallel computation of the three-dimensional groundwater flow problem is presented.On this basis,and further combined with the nonlinear homotopy method,a parallelized homotopy algorithm for groundwater parameter inversion analysis is proposed.The corresponding forward and inversion compute programs are developed in MATLAB.Through the comparison of existing analytical solutions,finite difference solutions and the verification numerical examples,the validity and computational efficiency of the parallel forward and inverse methods are demonstrated.The research shows that the parallel method can effectively improve the calculation speed,and has obvious advantages over the serial method.Moreover,the homotopy parallel inversion method has the characteristics of large-scale convergence and does not depend on the initial selection of parameter values.