MT3DMS: A Modular Three-Dimensional Multispecies Transport Model for Simulation of Advection, Dispersion, and Chemical Reactions of Contaminants in Groundwater Systems; Documentation and User's Guide

Abstract : This manual describes the next generation of the modular three-dimensional transport model, MT3D, with significantly expanded capabilities, including the addition of (a) a third-order total-variation-diminishing (TVD) scheme for solving the advection term that is mass conservative but does not introduce excessive numerical dispersion and artificial oscillation, (b) an efficient iterative solver based on generalized conjugate gradient methods and the Lanczos/ORTHOMIN acceleration scheme to remove stability constraints on the transport time-step size, (c) options for accommodating nonequilibrium sorption and dual-domain advection-diffusion mass transport, and (d) a multicomponent program structure that can accommodate add-on reaction packages for modeling general biological and geochemical reactions. MT3DMS can be used to simulate changes in concentrations of miscible contaminants in groundwater considering advection, dispersion, diffusion, and some basic chemical reactions, with various types of boundary conditions and external sources or sinks. The basic chemical reactions included in the model are equilibrium-controlled or rate-limited linear or nonlinear sorption and first-order irreversible or reversible kinetic reactions. MT3DMS can accommodate very general spatial discretization schemes and transport boundary conditions, including: (a) confined, unconfined, or variably confined/unconfined aquifer layers, (b)inclined model layers and variable cell thickness within the same layer, (c) specified concentration or mass flux boundaries, and (d) the solute transport effects of external hydraulic sources and sinks such as wells, drains, rivers, areal recharge, and evapotranspiration.

[1]  T. F. Russell,et al.  Finite element and finite difference methods for continuous flows in porous media. , 1800 .

[2]  M. Hestenes,et al.  Methods of conjugate gradients for solving linear systems , 1952 .

[3]  C. Lanczos Solution of Systems of Linear Equations by Minimized Iterations1 , 1952 .

[4]  D. W. Peaceman,et al.  Numerical Calculation of Multidimensional Miscible Displacement by the Method of Characteristics , 1964 .

[5]  N. Meyers,et al.  H = W. , 1964, Proceedings of the National Academy of Sciences of the United States of America.

[6]  Mathematical Analysis of Groundwater Recharge , 1970 .

[7]  M. A. Collins,et al.  General Analysis of Longitudinal Dispersion in Nonuniform Flow , 1971 .

[8]  J. Bear Dynamics of Fluids in Porous Media , 1975 .

[9]  Bruce Hunt,et al.  DISPERSIVE SOURCES IN UNIFORM GROUND-WATER FLOW , 1978 .

[10]  I. Gustafsson A class of first order factorization methods , 1978 .

[11]  John L. Wilson,et al.  Two-Dimensional Plume in Uniform Ground-Water Flow , 1978 .

[12]  J. Bredehoeft,et al.  Computer model of two-dimensional solute transport and dispersion in ground water , 1978 .

[13]  J. Bear Hydraulics of Groundwater , 1979 .

[14]  Mary P. Anderson,et al.  Using models to simulate the movement of contaminants through groundwater flow systems , 1979 .

[15]  Kang C. Jea,et al.  Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods , 1980 .

[16]  A. Moench,et al.  A numerical inversion of the laplace transform solution to radial dispersion in a porous medium , 1981 .

[17]  S. P. Neuman,et al.  A Eulerian-Lagrangian numerical scheme for the dispersion-convection equation using conjugate space-time grids , 1981 .

[18]  Y. Saad The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems , 1982 .

[19]  W. J. Alves,et al.  Analytical solutions of the one-dimensional convective-dispersive solute transport equation , 1982 .

[20]  Bruce Hunt Mathematical Analysis of Groundwater Resources , 1983 .

[21]  Kang C. Jea,et al.  On the simplification of generalized conjugate-gradient methods for nonsymmetrizable linear systems , 1983 .

[22]  S. N. Milford,et al.  Eulerian‐Lagrangian Solution of the Convection‐Dispersion Equation in Natural Coordinates , 1984 .

[23]  S. P. Neuman Adaptive Eulerian–Lagrangian finite element method for advection–dispersion , 1984 .

[24]  Iraj Javandel,et al.  Groundwater Transport: Handbook of Mathematical Models , 1984 .

[25]  Sukumar Chakravarthy,et al.  High Resolution Schemes and the Entropy Condition , 1984 .

[26]  K. G. Stollenwerk,et al.  Computer model of one-dimensional equilibrium controlled sorption processes , 1984 .

[27]  Emil O. Frind,et al.  The Dual Formulation of Flow for Contaminant Transport Modeling: 1. Review of Theory and Accuracy Aspects , 1985 .

[28]  Graham F. Carey,et al.  Book reviewComputational techniques and applications, CTAC-83: J. Noye and C. Fletcher, eds. (North-Holland, Amsterdam, 1984), 982 pp., ISBN 0 444 875271 , 1985 .

[29]  S. Osher,et al.  Very High Order Accurate TVD Schemes , 1986 .

[30]  William H. Press,et al.  Numerical Recipes: The Art of Scientific Computing , 1987 .

[31]  M. Yavuz Corapcioglu,et al.  Advances in transport phenomena in porous media , 1987 .

[32]  David M. Young,et al.  Iterative algorithms and software for solving large sparse linear systems , 1988 .

[33]  Aly L. El-Kadi Applying the USGS Mass‐Transport Model (MOC) to Remedial Actions by Recovery Wells , 1988 .

[34]  B. P. Leonard Universal Limiter for Transient Interpolation Modeling of the Advective Transport Equations : The ULTIMATE Conservative Difference Scheme , 1988 .

[35]  D. W. Pollock Semianalytical Computation of Path Lines for Finite‐Difference Models , 1988 .

[36]  李幼升,et al.  Ph , 1989 .

[37]  J. E. Glynn,et al.  Numerical Recipes: The Art of Scientific Computing , 1989 .

[38]  Daniel J. Goode,et al.  Modification of a method-of-characteristics solute-transport model to incorporate decay and equilibrium-controlled sorption or ion exchange , 1989 .

[39]  Gour-Tsyh Yeh,et al.  A Lagrangian‐Eulerian Method with zoomable hidden fine‐mesh approach to solving advection‐dispersion equations , 1990 .

[40]  Daniel J. Goode,et al.  Particle velocity interpolation in block‐centered finite difference groundwater flow models , 1990 .

[41]  C. Zheng A Modular Three-Dimensional Transport Model for Simulation of Advection, Dispersion and Chemical Reaction of Contaminants in Groundwater Systems , 1990 .

[42]  B. P. Leonard,et al.  A stable and accurate convective modelling procedure based on quadratic upstream interpolation , 1990 .

[43]  B. P. Leonard,et al.  Cost-effective accurate coarse-grid method for highly convective multidimensional unsteady flows , 1991 .

[44]  Tracy Nishikawa,et al.  A New Total Variation Diminishing Scheme for the Solution of Advective‐Dominant Solute Transport , 1991 .

[45]  B. P. Leonard,et al.  Sharp monotonic resolution of discontinuities without clipping of narrow extrema , 1991 .

[46]  R. Zhang,et al.  Applied Contaminant Transport Modeling: Theory and Practice , 1991 .

[47]  T. E. Short,et al.  An exact peak capturing and Oscillation‐Free Scheme to solve advection‐dispersion transport equations , 1992 .

[48]  P. Roache A flux-based modified method of characteristics , 1992 .

[49]  M. Hill A computer program (MODFLOWP) for estimating parameters of a transient, three-dimensional ground-water flow model using nonlinear regression , 1992 .

[50]  Richard W. Healy,et al.  A finite‐volume Eulerian‐Lagrangian Localized Adjoint Method for solution of the advection‐dispersion equation , 1993 .

[51]  Chunmiao Zheng,et al.  Extension of the Method of Characteristics for Simulation of Solute Transport in Three Dimensions , 1993 .

[52]  T. Harter,et al.  A Numerical Model for Water Flow and Chemical Transport in Variably Saturated Porous Media , 1993 .

[53]  Groundwater Models for Resources Analysis and Management , 1995 .

[54]  Graham E. Fogg,et al.  Random-Walk Simulation of Transport in Heterogeneous Porous Media: Local Mass-Conservation Problem and Implementation Methods , 1996 .

[55]  Arlen W. Harbaugh,et al.  User's documentation for MODFLOW-96, an update to the U.S. Geological Survey modular finite-difference ground-water flow model , 1996 .

[56]  G. Z. Hornberger,et al.  A three-dimensional method-of-characteristics solute-transport model (MOC3D) , 1996 .

[57]  The hydrogeological impacts of longwall coal mining-induced susidence, northern Wasatch plateau, Utah : a modular, three- dimensional, finite-difference flow model , 1996 .

[58]  Mark A. Widdowson,et al.  SEAM3D: A Numerical Model for Three-Dimensional Solute Transport and Sequential Electron Acceptor-Based Bioremediation in Groundwater , 2000 .