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Fractional Advection Diffusion Models for Radionuclide Migration in Multiple Barriers System of Deep Geological Repository

https://doi.org/10.3390/math10142491
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/j.aml.2017.12.006openalex-snapshot
Conformable derivative: Application to non-Darcian flow in low-permeability porous media
inferredcites →https://doi.org/10.1016/j.apr.2019.09.015openalex-snapshot
Simulation of atmospheric pollutant dispersion considering a bi-flux process and fractional derivatives
inferredcites →https://doi.org/10.1016/j.cam.2020.113040openalex-snapshot
Some comments on using fractional derivative operators in modeling non-local diffusion processes
inferredcites →https://doi.org/10.1016/j.chaos.2018.08.026openalex-snapshot
Time fractional derivative model with Mittag-Leffler function kernel for describing anomalous diffusion: Analytical solution in bounded-domain and model comparison
inferredcites →https://doi.org/10.1016/j.chaos.2021.110863openalex-snapshot
Fractional diffusion models for radionuclide anomalous transport in geological repository systems
inferredcites →https://doi.org/10.1016/j.ijheatmasstransfer.2019.118667openalex-snapshot
New approach to solving the atmospheric pollutant dispersion equation using fractional derivatives
inferredcites →https://doi.org/10.1016/j.ijrmms.2018.11.013openalex-snapshot
A fractional derivative perspective on transient pulse test for determining the permeability of rocks
inferredcites →https://doi.org/10.1016/j.jhydrol.2020.125504openalex-snapshot
A distributed-order time fractional derivative model for simulating bimodal sub-diffusion in heterogeneous media
inferredcites →https://doi.org/10.1016/j.jrmge.2018.03.002openalex-snapshot
The Beishan underground research laboratory for geological disposal of high-level radioactive waste in China: Planning, site selection, site characterization and in situ tests
inferredcites →https://doi.org/10.1016/j.physa.2015.12.066openalex-snapshot
Modeling diffusive transport with a fractional derivative without singular kernel
inferredcites →https://doi.org/10.1016/j.physa.2017.09.101openalex-snapshot
Conformable derivative approach to anomalous diffusion
inferredcites →https://doi.org/10.1016/j.physa.2018.04.009openalex-snapshot
Suspension concentration distribution in turbulent flows: An analytical study using fractional advection–diffusion equation
inferredcites →https://doi.org/10.1016/j.physa.2019.121917openalex-snapshot
Continuous time random walk with A→B reaction in flows
inferredcites →https://doi.org/10.1016/s0096-3003(03)00193-0openalex-snapshot
Numerical solution of the three-dimensional advection–diffusion equation
inferredcites →https://doi.org/10.1016/s0370-1573(00)00070-3openalex-snapshot
The random walk's guide to anomalous diffusion: a fractional dynamics approach
inferredcites →https://doi.org/10.1029/2020wr029554openalex-snapshot
Time‐Fractional Flow Equations (t‐FFEs) to Upscale Transient Groundwater Flow Characterized by Temporally Non‐Darcian Flow Due to Medium Heterogeneity
inferredcites →https://doi.org/10.1061/(asce)em.1943-7889.0001870openalex-snapshot
Solution of 1D Space Fractional Advection-Dispersion Equation with Nonlinear Source in Heterogeneous Medium
inferredcites →https://doi.org/10.1080/17415977.2021.1914606openalex-snapshot
An inverse problem to simulate the transport of chloride in concrete by time–space fractional diffusion model
inferredcites →https://doi.org/10.1088/1402-4896/ac71e0openalex-snapshot
Anomalous transport for multispecies reactive system with first order decay: time-fractional model
inferredcites →https://doi.org/10.1111/j.1365-246x.1967.tb02303.xopenalex-snapshot
Linear Models of Dissipation whose Q is almost Frequency Independent--II
inferredcites →https://doi.org/10.2298/tsci160111018aopenalex-snapshot
New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model
inferredcites →https://doi.org/10.3390/math9182179openalex-snapshot
Convergence Analysis of a Numerical Method for a Fractional Model of Fluid Flow in Fractured Porous Media

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4823020openalex-extracted
A Temporally Relaxed Theory of Non-Equilibrium Solute Transport in Heterogeneous Porous Media Involving Flexible Boundary
inferred← citeshttps://doi.org/10.1007/s11242-025-02162-8openalex-snapshot
A Temporally Relaxed Theory of Nonequilibrium Solute Transport in Porous Media With Spatial Dispersivity Involving Flexible Boundary
inferred← citeshttps://doi.org/10.1007/s11581-025-06093-8openalex-snapshot
Corrosion behavior of LaPO4 glass solidification in bentonite, humic acid, and groundwater for spent fuel geological repositories
inferred← citeshttps://doi.org/10.1016/j.compgeo.2025.107469openalex-snapshot
A dual-phase-lag peridynamic modeling framework for non-Fickian transport in heterogeneous porous media
inferred← citeshttps://doi.org/10.1016/j.ijrmms.2026.106462openalex-snapshot
Online triaxial–NMR monitoring of pore–fracture reorganization and creep response in coal under a mining-type stress path
inferred← citeshttps://doi.org/10.1016/j.net.2024.09.008openalex-snapshot
Kinetic simulation of uranium migration in granite fissure media of beishan, gansu, China: A case study based on the Laplace transform and inverse transform methods
inferred← citeshttps://doi.org/10.1080/00223131.2026.2701388openalex-snapshot
Fractional Lagrangian modeling of non-Fickian radionuclide transport in heterogeneous geological media for nuclear waste repository safety
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