A review and numerical assessment of the random walk particle tracking method.
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Peter Salamon | Daniel Fernàndez-Garcia | P. Salamon | J. Gómez-Hernández | D. Fernàndez‐Garcia | J Jaime Gómez-Hernández
[1] Harihar Rajaram,et al. Assessment of the predictive capabilities of stochastic theories in a three‐dimensional laboratory test aquifer: Effective hydraulic conductivity and temporal moments of breakthrough curves , 2005 .
[2] D. Misra,et al. Modeling plume behavior for nonlinearly sorbing solutes in saturated homogeneous porous media , 1998 .
[3] H. Hoteit,et al. Three-Dimensional Modeling of Mass Transfer in Porous Media Using the Mixed Hybrid Finite Elements and the Random-Walk Methods , 2002 .
[4] Charles F. Harvey,et al. When good statistical models of aquifer heterogeneity go bad: A comparison of flow, dispersion, and mass transfer in connected and multivariate Gaussian hydraulic conductivity fields , 2003 .
[5] J. Gómez-Hernández,et al. To be or not to be multi-Gaussian? A reflection on stochastic hydrogeology , 1998 .
[6] Graham E. Fogg,et al. Random-Walk Simulation of Transport in Heterogeneous Porous Media: Local Mass-Conservation Problem and Implementation Methods , 1996 .
[7] Adrian E. Scheidegger,et al. Statistical Hydrodynamics in Porous Media , 1954 .
[8] C. W. Gardiner,et al. Handbook of stochastic methods - for physics, chemistry and the natural sciences, Second Edition , 1986, Springer series in synergetics.
[9] J. Quastel,et al. Diffusion theory for transport in porous media: Transition‐probability densities of diffusion processes corresponding to advection‐dispersion equations , 1998 .
[10] Harihar Rajaram,et al. Differences in the scale dependence of dispersivity and retardation factors estimated from forced‐gradient and uniform flow tracer tests in three‐dimensional physically and chemically heterogeneous porous media , 2005 .
[11] R. Aris. On the dispersion of a solute in a fluid flowing through a tube , 1956, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[12] F. Molz,et al. An Analysis of Dispersion in a Stratified Aquifer , 1984 .
[13] Ahmed E. Hassan,et al. Monte Carlo study of conservative transport in heterogeneous dual-porosity media , 2003 .
[14] G.J.M. Uffink,et al. Analysis of dispersion by the random walk method , 1990 .
[15] J. Nieber,et al. Modeling the effects of nonlinear equilibrium sorption on the transport of solute plumes in saturated heterogeneous porous media , 2000 .
[16] G. Fogg,et al. Role of Molecular Diffusion in Contaminant Migration and Recovery in an Alluvial Aquifer System , 2001 .
[17] E. Frind,et al. Delineation of Three‐Dimensional Well Capture Zones for Complex Multi‐Aquifer Systems , 2002, Ground water.
[18] G. J. M. Uffink,et al. A random walk method for the simulation of macrodispersion in a stratified aquifer , 1985 .
[19] P. Ackerer,et al. Random-Walk Method to Simulate Pollutant Transport in Alluvial Aquifers or Fractured Rocks , 1988 .
[20] Andrew F. B. Tompson,et al. Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media , 1990 .
[21] G. Pinder,et al. Computational Methods in Subsurface Flow , 1983 .
[22] E. Foufoula‐Georgiou,et al. Modeling kinetic non-equilibrium using the first two moments of the residence time distribution , 1991 .
[23] P. Ackerer,et al. Comment on “Diffusion theory for transport in porous media: Transition‐probability densities of diffusion processes corresponding to advection‐dispersion equations” by Eric M. LaBolle et al. , 2000 .
[24] W. Kinzelbach,et al. Computation of stochastic wellhead protection zones by combining the first-order second-moment method and Kolmogorov backward equation analysis , 2000 .
[25] Bruce A. Robinson,et al. New form of dispersion tensor for axisymmetric porous media with implementation in particle tracking , 2002 .
[26] Arlen W. Harbaugh,et al. A modular three-dimensional finite-difference ground-water flow model , 1984 .
[27] A. Scheidegger. General Theory of Dispersion in Porous Media , 1961 .
[28] David L. Freyberg,et al. A natural gradient experiment on solute transport in a sand aquifer: 2. Spatial moments and the advection and dispersion of nonreactive tracers , 1986 .
[29] Amvrossios C. Bagtzoglou,et al. Projection functions for particle‐grid methods , 1992 .
[30] K. Semra,et al. Three dimensional groundwater quality modelling in heterogeneous media , 1970 .
[31] Harihar Rajaram,et al. Differences in the scale-dependence of dispersivity estimated from temporal and spatial moments in chemically and physically heterogeneous porous media , 2005 .
[32] E. Frind,et al. Simulation of contaminant transport in three dimensions: 2. Dimensionality effects , 1987 .
[33] J. C. Jaeger,et al. Conduction of Heat in Solids , 1952 .
[34] J. Jaime Gómez-Hernández,et al. ISIM3D: and ANSI-C three-dimensional multiple indicator conditional simulation program , 1990 .
[35] Andrew F. B. Tompson,et al. Impacts of Physical and Chemical Heterogeneity on Cocontaminant Transport in a Sandy Porous Medium , 1996 .
[36] Peter K. Kitanidis,et al. Macroscopic behavior and random‐walk particle tracking of kinetically sorbing solutes , 2000 .
[37] C. R. Cole,et al. Multicomponent mass transport model: theory and numerical implementation (discrete-parcel-random-walk version) , 1977 .
[38] Georg Teutsch,et al. Heterogeneity patterns of Quaternary glaciofluvial gravel bodies (SW-Germany): application to hydrogeology , 2003 .
[39] T. A. Prickett,et al. A "random-walk" solute transport model for selected groundwater quality evaluations , 1981 .
[40] Graham E. Fogg,et al. Diffusion processes in composite porous media and their numerical integration by random walks: Generalized stochastic differential equations with discontinuous coefficients , 2000 .
[41] M. Celia,et al. Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, 2, Analysis of spatial moments for a nonreactive tracer , 1991 .
[42] C. Zheng,et al. A dual‐domain mass transfer approach for modeling solute transport in heterogeneous aquifers: Application to the Macrodispersion Experiment (MADE) site , 2000 .
[43] C. Zheng. Analysis of Particle Tracking Errors Associated with Spatial Discretization , 1994 .
[44] Robert D. Falgout,et al. Analysis of subsurface contaminant migration and remediation using high performance computing , 1998 .
[45] Gaisheng Liu,et al. Limits of applicability of the advection‐dispersion model in aquifers containing connected high‐conductivity channels , 2004 .
[46] William Feller,et al. An Introduction to Probability Theory and Its Applications , 1951 .
[47] A. Valocchi,et al. Stochastic analysis of the transport of kinetically sorbing solutes in aquifers with randomly heterogeneous hydraulic conductivity , 1993 .
[48] Xian-Huan Wen,et al. The Constant Displacement Scheme for Tracking Particles in Heterogeneous Aquifers , 1996 .
[49] D. W. Pollock. Semianalytical Computation of Path Lines for Finite‐Difference Models , 1988 .
[50] Ahmed E. Hassan,et al. On using particle tracking methods to simulate transport in single-continuum and dual continua porous media , 2003 .
[51] E. Sudicky. A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process , 1986 .
[52] Brian Berkowitz,et al. Anomalous transport in laboratory‐scale, heterogeneous porous media , 2000 .
[53] G. De Josselin De Jong,et al. Longitudinal and transverse diffusion in granular deposits , 1958 .
[54] Kiyosi Itô. Stochastic Differential Equations , 2018, The Control Systems Handbook.
[55] J. W. Mercer,et al. Contaminant transport in groundwater. , 1992 .
[56] Andrew F. B. Tompson,et al. Numerical simulation of chemical migration in physically and chemically heterogeneous porous media , 1993 .
[57] R. L. Stratonovich. A New Representation for Stochastic Integrals and Equations , 1966 .
[58] Paul P. Wang,et al. 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 , 1999 .