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1 1.0 Introduction  2 2.0 General Features of FEMFLOW3D  3 3.0 Description of FEMFLOW3D  5 3.1 Program FEMFLOW3D  7 3.1.1 Background  7 3.1.2 Mathematical Basis  7 3.1.3 Structure of Subroutine  7 3.2 Subroutine MODEL  7 3.2.1 Background  7 3.2.2 Mathematical Basis  7 3.2.2.1 Governing Equation  7 3.2.2.2 Finite-Element Approximation  9 3.2.2.3 Interpolating Function  14 3.2.2.4 Integration in Time  19 3.2.2.5 Iterative Solution  20 3.2.3 Structure of Subroutine  20 3.2.3.1 General Structure  20 3.2.3.2 Compressed Storage  22 3.2.3.3 Linear Problems  24 3.2.3.4 Finite-Element Grid  24 3.3 Subroutine CHEAD  27 3.3.1 Background  27 3.3.2 Mathematical Basis  27 3.3.3 Structure of Subroutine  30 3.4 Subroutine FLUX  30 3.4.1 Background  30 3.4.2 Mathematical Basis  31 3.4.3 Structure of Subroutine  32 3.5 Subroutine RIVER  33 3.5.1 Background  33 3.5.2 Mathematical Basis  33 3.5.3 Structure of Subroutine  36 3.6 Subroutine EVAP  38 3.6.1 Background  38 3.6.2 Mathematical Basis  38 3.6.3 Structure of Subroutine  41 3.7 Subroutine VFLUX  42 3.7.1 Background  42 3.7.2 Mathematical Basis  42 3.7.3 Structure of Subroutine  46 3.8 Subroutine FAULT  48 3.8.1 Background  48 3.8.2 Mathematical Basis  48 3.8.3 Structure of Subroutine  51 3.9 Subroutine SINK  52 3.9.1 Background  52 3.9.2 Mathematical Basis  52 3.9.3 Structure of Subroutine  55 3.10 Subroutine WATER  57 3.10.1 Background  57 3.10.2 Mathematical Basis  62 3.10.3 Structure of Subroutine  62

FEMFLOW3D; a finite-element program for the simulation of three-dimensional aquifers; version 1.0