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Transport behavior of a passive solute in continuous time random walks and multirate mass transfer
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Outgoing claims: the papers this work cites, builds on, or argues with.
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The Fokker-Planck Equation: Methods of Solution and Applications
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Solute Transport at the Local (Formation) Scale
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The Role of Probabilistic Approaches to Transport Theory in Heterogeneous Media
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Large-Time Spatial Covariance of Concentration of Conservative Solute and Application to the Cape Cod Tracer Test
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Macrodispersivity and Large-scale Hydrogeologic Variability
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Asymptotic solutions of continuous-time random walks
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Random walks on lattices. IV. Continuous-time walks and influence of absorbing boundaries
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Numerical simulations of transport of non-ergodic solute plumes in heterogeneous aquifers
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Theoretical analysis of deviations from local equilibrium during sorbing solute transport through idealized stratified aquifers
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Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
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Chemical engineering approach to dynamic modelling of linear chromatography
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Measurement and analysis of non-Fickian dispersion in heterogeneous porous media
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A method for estimating distributions of mass transfer rate coefficients with application to purging and batch experiments
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The random walk's guide to anomalous diffusion: a fractional dynamics approach
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Application of Continuous Time Random Walks to Transport in Porous Media
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Large-Time Spatial Covariance of Concentration of Conservative Solute and Application to the Cape Cod Tracer Test
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Macrodispersivity and Large-scale Hydrogeologic Variability
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The Role of Probabilistic Approaches to Transport Theory in Heterogeneous Media
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Anomalous transport in laboratory‐scale, heterogeneous porous media
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Temporal behavior of a solute cloud in a heterogeneous porous medium: 1. Point‐like injection
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Modeling the Nonequilibrium Transport of Linearly Interacting Solutes in Porous Media: A Review
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Linear transport models for adsorbing solutes
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On Characterization of Anomalous Dispersion in Porous and Fractured Media
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Laboratory evidence of the scale effect in dispersion of solutes in porous media
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Theory of anomalous chemical transport in random fracture networks
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Application of Continuous Time Random Walk Theory to Tracer Test Measurements in Fractured and Heterogeneous Porous Media
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Modeling Mass Transfer Processes in Soil Columns with Pore‐Scale Heterogeneity
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Table of Integrals, Series, and Products.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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An adaptive sparse kernel technique in greedy algorithm framework to simulate an anomalous solute transport model
inferred← citeshttps://doi.org/10.1016/j.enganabound.2026.107044openalex-snapshot
Numerical simulation of the distributed-order time-fractional mobile–immobile equation by the local radial basis function-compact finite difference method
inferred← citeshttps://doi.org/10.1016/j.geoderma.2018.01.021openalex-snapshot
Direct methods to calculate the mass exchange between solutes inside and outside aggregates in macroscopic model for solute transport in aggregated soil
inferred← citeshttps://doi.org/10.1016/j.hazadv.2026.101261openalex-snapshot
Physical, biophysical, and chemical mechanisms of bidirectional coupling between DRASTIC vulnerability assessment and numerical transport modeling in heterogeneous aquifer systems
inferred← citeshttps://doi.org/10.1016/j.icheatmasstransfer.2019.104443openalex-snapshot
Numerical approach for modeling fractal mobile/immobile transport model in porous and fractured media
inferred← citeshttps://doi.org/10.1016/j.ijggc.2016.01.026openalex-snapshot
Simulation of chemical reaction localization using a multi-porosity reactive transport approach
inferred← citeshttps://doi.org/10.1016/j.ijheatmasstransfer.2015.03.044openalex-snapshot
Heat and mass transfer effects of ice growth mechanisms in a fully saturated soil
inferred← citeshttps://doi.org/10.1016/j.ijheatmasstransfer.2018.12.141openalex-snapshot
Multiscale roughness influence on conservative solute transport in self-affine fractures
inferred← citeshttps://doi.org/10.1016/j.jconhyd.2008.03.002openalex-snapshot
Estimating first-order reaction rate coefficient for transport with nonequilibrium linear mass transfer in heterogeneous media
inferred← citeshttps://doi.org/10.1016/j.jconhyd.2009.07.002openalex-snapshot
Application of continuous time random walk theory to nonequilibrium transport in soil
inferred← citeshttps://doi.org/10.1016/j.jconhyd.2010.05.001openalex-snapshot
Optimal reconstruction of concentrations, gradients and reaction rates from particle distributions
inferred← citeshttps://doi.org/10.1016/j.jconhyd.2010.05.002openalex-snapshot
Mixing, spreading and reaction in heterogeneous media: A brief review
inferred← citeshttps://doi.org/10.1016/j.jconhyd.2010.06.002openalex-snapshot
Effective non-local reaction kinetics for transport in physically and chemically heterogeneous media
inferred← citeshttps://doi.org/10.1016/j.jconhyd.2012.04.006openalex-snapshot
Testing high resolution numerical models for analysis of contaminant storage and release from low permeability zones
inferred← citeshttps://doi.org/10.1016/j.jconhyd.2013.11.005openalex-snapshot
Modeling solute transport affected by heterogeneous sorption kinetics using single-rate nonequilibrium approaches
inferred← citeshttps://doi.org/10.1016/j.jconhyd.2020.103734openalex-snapshot
A review of spatial Markov models for predicting pre-asymptotic and anomalous transport in porous and fractured media
inferred← citeshttps://doi.org/10.1016/j.jcp.2010.02.014openalex-snapshot
Random walk particle tracking simulations of non-Fickian transport in heterogeneous media
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2008.08.015openalex-snapshot
A comparative review of upscaling methods for solute transport in heterogeneous porous media
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2009.08.036openalex-snapshot
Comparison of alternative models for simulating anomalous solute transport in a large heterogeneous soil column
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2014.02.064openalex-snapshot
Linking aquifer spatial properties and non-Fickian transport in mobile–immobile like alluvial settings
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2014.09.021openalex-snapshot
Mass-time and space-time fractional partial differential equations of water movement in soils: Theoretical framework and application to infiltration
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2017.01.015openalex-snapshot
The fractional Boussinesq equation of groundwater flow and its applications
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2018.03.024openalex-snapshot
Modelling solute dispersion in periodic heterogeneous porous media: Model benchmarking against intermediate scale experiments
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2018.06.083openalex-snapshot
A Lattice Boltzmann model for 2D fractional advection-dispersion equation: Theory and application
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2019.124504openalex-snapshot
Comparison of negative skewed space fractional models with time nonlocal approaches for stream solute transport modeling
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2023.129432openalex-snapshot
A temporally relaxed theory of physically or chemically non-equilibrium solute transport in heterogeneous porous media
inferred← citeshttps://doi.org/10.1016/j.jhydrol.2026.135729openalex-snapshot
Prediction of solute transport in three-dimensional rough-walled rock fractures: The role of geometrical heterogeneities
inferred← citeshttps://doi.org/10.1016/j.petrol.2017.07.035openalex-snapshot
Fractional derivatives and their applications in reservoir engineering problems: A review
inferred← citeshttps://doi.org/10.1016/j.physa.2007.01.001openalex-snapshot
The CTRW in finance: Direct and inverse problems with some generalizations and extensions
inferred← citeshttps://doi.org/10.1016/j.physa.2014.03.017openalex-snapshot
Anomalous nonequilibrium transport simulations using a model of statistically homogeneous fractured-porous medium
inferred← citeshttps://doi.org/10.1016/s0169-7722(02)00204-8openalex-snapshot
Measurement and analysis of non-Fickian dispersion in heterogeneous porous media
inferred← citeshttps://doi.org/10.1017/jfm.2012.25openalex-snapshot
Anomalous dispersion in chemically heterogeneous media induced by long-range disorder correlation
inferred← citeshttps://doi.org/10.1017/jfm.2020.782openalex-snapshot
Transport under advective trapping
inferred← citeshttps://doi.org/10.1017/jfm.2022.596openalex-snapshot
Dispersion of motile bacteria in a porous medium
inferred← citeshttps://doi.org/10.1029/2002wr001716openalex-snapshot
What controls the apparent timescale of solute mass transfer in aquifers and soils? A comparison of experimental results
inferred← citeshttps://doi.org/10.1029/2003wr002141openalex-snapshot
Fractal mobile/immobile solute transport
inferred← citeshttps://doi.org/10.1029/2003wr002579openalex-snapshot
Non‐Fickian transport in homogeneous unsaturated repacked sand
inferred← citeshttps://doi.org/10.1029/2003wr002750openalex-snapshot
Numerical simulation of non‐Fickian transport in geological formations with multiple‐scale heterogeneities
inferred← citeshttps://doi.org/10.1029/2004wr003314openalex-snapshot
Radial fractional‐order dispersion through fractured rock
inferred← citeshttps://doi.org/10.1029/2004wr003682openalex-snapshot
Upscaling discrete fracture network simulations: An alternative to continuum transport models
inferred← citeshttps://doi.org/10.1029/2004wr003755openalex-snapshot
Aquifer operator scaling and the effect on solute mixing and dispersion
inferred← citeshttps://doi.org/10.1029/2005rg000178openalex-snapshot
Modeling non‐Fickian transport in geological formations as a continuous time random walk
inferred← citeshttps://doi.org/10.1029/2005wr004727openalex-snapshot
Impact of upscaling on solute transport: Traveltimes, scale dependence of dispersivity, and propagation of uncertainty
inferred← citeshttps://doi.org/10.1029/2006gl027054openalex-snapshot
Delay mechanisms of non‐Fickian transport in heterogeneous media
inferred← citeshttps://doi.org/10.1029/2006gl027251openalex-snapshot
Relationship between flux and resident concentrations for anomalous dispersion
inferred← citeshttps://doi.org/10.1029/2006wr004927openalex-snapshot
Modeling mass transfer processes using random walk particle tracking
inferred← citeshttps://doi.org/10.1029/2006wr005600openalex-snapshot
Breakthrough curve tailing in a dipole flow field
inferred← citeshttps://doi.org/10.1029/2007gl030019openalex-snapshot
Geoelectrical evidence of bicontinuum transport in groundwater
inferred← citeshttps://doi.org/10.1029/2007wr005906openalex-snapshot
Non‐Fickian transport and multiple‐rate mass transfer in porous media
inferred← citeshttps://doi.org/10.1029/2007wr006035openalex-snapshot
Traveltime‐based descriptions of transport and mixing in heterogeneous domains
inferred← citeshttps://doi.org/10.1029/2007wr006262openalex-snapshot
Temporal moments for transport with mass transfer described by an arbitrary memory function in heterogeneous media
inferred← citeshttps://doi.org/10.1029/2007wr006278openalex-snapshot
Non‐Fickian dispersion in porous media: 1. Multiscale measurements using single‐well injection withdrawal tracer tests
inferred← citeshttps://doi.org/10.1029/2007wr006279openalex-snapshot
Non‐Fickian dispersion in porous media: 2. Model validation from measurements at different scales
inferred← citeshttps://doi.org/10.1029/2007wr006531openalex-snapshot
Transport upscaling in heterogeneous aquifers: What physical parameters control memory functions?
inferred← citeshttps://doi.org/10.1029/2007wr006596openalex-snapshot
Continuous time random walk analysis of solute transport in fractured porous media
inferred← citeshttps://doi.org/10.1029/2007wr006690openalex-snapshot
Non‐Fickian dispersion in porous media explained by heterogeneous microscale matrix diffusion
inferred← citeshttps://doi.org/10.1029/2007wr006750openalex-snapshot
Geoelectrical inference of mass transfer parameters using temporal moments
inferred← citeshttps://doi.org/10.1029/2008wr006823openalex-snapshot
Multicomponent reactive transport in multicontinuum media
inferred← citeshttps://doi.org/10.1029/2008wr006858openalex-snapshot
Transport of conservative solutes in simulated fracture networks: 2. Ensemble solute transport and the correspondence to operator‐stable limit distributions
inferred← citeshttps://doi.org/10.1029/2008wr007048openalex-snapshot
Electrical characterization of non‐Fickian transport in groundwater and hyporheic systems
inferred← citeshttps://doi.org/10.1029/2008wr007448openalex-snapshot
Monte Carlo simulation of superdiffusion and subdiffusion in macroscopically heterogeneous media
inferred← citeshttps://doi.org/10.1029/2009wr007739openalex-snapshot
Coupling of mass transfer and reactive transport for nonlinear reactions in heterogeneous media
inferred← citeshttps://doi.org/10.1029/2009wr007764openalex-snapshot
Upscaling transport with mass transfer models: Mean behavior and propagation of uncertainty
inferred← citeshttps://doi.org/10.1029/2009wr008320openalex-snapshot
Generalization of the multirate basis for time convolution to unequal forward and reverse rates and connection to reactions with memory
inferred← citeshttps://doi.org/10.1029/2009wr008671openalex-snapshot
Non‐Fourier thermal transport in fractured geological media
inferred← citeshttps://doi.org/10.1029/2010wr009133openalex-snapshot
Upscaling solute transport in naturally fractured porous media with the continuous time random walk method
inferred← citeshttps://doi.org/10.1029/2011wr010857openalex-snapshot
Comparison of Fickian and temporally nonlocal transport theories over many scales in an exhaustively sampled sandstone slab
inferred← citeshttps://doi.org/10.1029/2011wr011407openalex-snapshot
Modeling intragranular diffusion in low‐connectivity granular media
inferred← citeshttps://doi.org/10.1029/2011wr011582openalex-snapshot
Physical controls and predictability of stream hyporheic flow evaluated with a multiscale model
inferred← citeshttps://doi.org/10.1029/2012wr012251openalex-snapshot
Non‐Fickian dispersion of groundwater age
inferred← citeshttps://doi.org/10.1029/2012wr012821openalex-snapshot
Analytical solution and simplified analysis of coupled parent‐daughter steady‐state transport with multirate mass transfer
inferred← citeshttps://doi.org/10.1029/2018wr023420openalex-snapshot
Predicting Downstream Concentration Histories From Upstream Data in Column Experiments
inferred← citeshttps://doi.org/10.1029/2018wr023552openalex-snapshot
Trajectories as Training Images to Simulate Advective‐Diffusive, Non‐Fickian Transport
inferred← citeshttps://doi.org/10.1029/2018wr023554openalex-snapshot
Saturation Dependence of Non‐Fickian Transport in Porous Media
inferred← citeshttps://doi.org/10.1029/2018wr023810openalex-snapshot
Upscaling and Prediction of Lagrangian Velocity Dynamics in Heterogeneous Porous Media
inferred← citeshttps://doi.org/10.1029/2018wr024150openalex-snapshot
Revisiting the Analytical Solutions of Heat Transport in Fractured Reservoirs Using a Generalized Multirate Memory Function
inferred← citeshttps://doi.org/10.1029/2019wr026000openalex-snapshot
Adaptive Multirate Mass Transfer (aMMT) Model: A New Approach to Upscale Regional‐Scale Transport Under Transient Flow Conditions
inferred← citeshttps://doi.org/10.1029/2019wr026868openalex-snapshot
Modeling Non‐Fickian Solute Transport Due to Mass Transfer and Physical Heterogeneity on Arbitrary Groundwater Velocity Fields
inferred← citeshttps://doi.org/10.1029/2020gl088944openalex-snapshot
Continuous Dissolved Gas Tracing of Fracture‐Matrix Exchanges
inferred← citeshttps://doi.org/10.1029/2020wr027266openalex-snapshot
Upscaling Heat Flow in Porous Media With Periodic Surface Temperature Fluctuation Using a One‐Dimensional Subordinated Heat Transfer Equation
inferred← citeshttps://doi.org/10.1029/2020wr027511openalex-snapshot
Description of Chemical Transport in Laboratory Rock Cores Using the Continuous Random Walk Formalism
inferred← citeshttps://doi.org/10.1029/2020wr027986openalex-snapshot
Flow Channeling in Fracture Networks: Characterizing the Effect of Density on Preferential Flow Path Formation
inferred← citeshttps://doi.org/10.1029/2021wr029804openalex-snapshot
Multirate Mass Transfer Approach for Double‐Porosity Poroelasticity in Fractured Media
inferred← citeshttps://doi.org/10.1029/2022wr033387openalex-snapshot
Posterior Assessment of Parameters in a Time Domain Random Walk Model of Partitioning Tracer Tests in Two‐Phase Flow Scenarios
inferred← citeshttps://doi.org/10.1029/2023rg000811openalex-snapshot
Karst Water Resources in a Changing World: Review of Solute Transport Modeling Approaches
inferred← citeshttps://doi.org/10.1029/2023wr036872openalex-snapshot
Biofilm Growth in Porous Media Well Approximated by Fractal Multirate Mass Transfer With Advective‐Diffusive Solute Exchange
inferred← citeshttps://doi.org/10.1029/2025rg000894openalex-snapshot
Four Decades of Research at the MADE Site and Beyond: Advancing the Understanding and Modeling of Solute Transport in Heterogeneous Media
inferred← citeshttps://doi.org/10.1061/(asce)ee.1943-7870.0001164openalex-snapshot
Behavioral Study of the Mass Transfer Coefficient of Nonreactive Solute with Velocity, Distance, and Dispersion
inferred← citeshttps://doi.org/10.1061/(asce)hy.1943-7900.0000832openalex-snapshot
Transient Mass Transport within Stokes Eddies Induced in a Junction of Orthogonal Flow Branches
inferred← citeshttps://doi.org/10.1061/(asce)hz.2153-5515.0000523openalex-snapshot
Study of Dynamic Concentration Gradient on Mass Transfer Coefficient: New Approach to Mobile–Immobile Modeling
inferred← citeshttps://doi.org/10.1063/5.0249919openalex-snapshot
A regional spatial nonlocal continuous time random walk model for tracer transport in fluids
inferred← citeshttps://doi.org/10.1063/5.0263927openalex-snapshot
The effect of non-Darcy flow on bimolecular reactive solute transport in a three-dimensional single rough fracture
inferred← citeshttps://doi.org/10.1086/688599openalex-snapshot
Linking in-stream nutrient uptake to hydrologic retention in two headwater streams
inferred← citeshttps://doi.org/10.1088/1367-2630/aca70copenalex-snapshot
Modelling anomalous diffusion in semi-infinite disordered systems and porous media
inferred← citeshttps://doi.org/10.1088/1367-2630/acd950openalex-snapshot
Emergent anomalous transport and non-Gaussianity in a simple mobile–immobile model: the role of advection
inferred← citeshttps://doi.org/10.1089/ees.2013.0331openalex-snapshot
Natural Organic Matter Transport Modeling with a Continuous Time Random Walk Approach
inferred← citeshttps://doi.org/10.1098/rsif.2022.0233openalex-snapshot
Apparent anomalous diffusion and non-Gaussian distributions in a simple mobile–immobile transport model with Poissonian switching
inferred← citeshttps://doi.org/10.1103/physreve.105.014105openalex-snapshot
Rate equations, spatial moments, and concentration profiles for mobile-immobile models with power-law and mixed waiting time distributions
inferred← citeshttps://doi.org/10.1103/physreve.107.l013301openalex-snapshot
Data-driven discovery of the governing equations for transport in heterogeneous media by symbolic regression and stochastic optimization
inferred← citeshttps://doi.org/10.1103/physreve.72.031110openalex-snapshot
Exact effective transport dynamics in a one-dimensional random environment
inferred← citeshttps://doi.org/10.1103/physreve.76.030102openalex-snapshot
Péclet-dependent memory kernels for transport in heterogeneous media
inferred← citeshttps://doi.org/10.1103/physreve.76.061115openalex-snapshot
Nonindependent continuous-time random walks
inferred← citeshttps://doi.org/10.1103/physreve.77.041115openalex-snapshot
Continuous-time random-walk approach to normal and anomalous reaction-diffusion processes
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