Multi-gene genetic programming expressions for simulating solute transport in fractures

Aryafar, 2019, Evolving genetic programming and other AI-based models for estimating groundwater quality parameters of the Khezri plain, Eastern Iran, Environ. Earth Sci., 78, 1, 10.1007/s12665-019-8092-8 Bickel, 1975, Descriptive statistics for nonparametric models II. Location, Ann. Stat., 3, 1045 Carslaw, 1959, Conduction of heat in solids, Oxford Sci. Chadalawada, 2020, Hydrologically informed machine learning for rainfall-runoff modeling: a genetic programming-based toolkit for automatic model induction, Water Resour. Res., 56, 1, 10.1029/2019WR026933 Cianflone, 2017, On the importance of gravity in DNAPL invasion of saturated horizontal fractures, Groundwater, 55, 27, 10.1111/gwat.12441 Conover, 1980, The rank transformation as a method of discrimination with some examples, Commun. Stat. - Theory Methods, 9, 465, 10.1080/03610928008827895 Cvetkovic, 2010, Significance of fracture rim zone heterogeneity for tracer transport in crystalline rock, Water Resour. Res., 46, 1, 10.1029/2009WR007755 Danandeh Mehr, 2018, Genetic programming in water resources engineering: a state-of-the-art review, J. Hydrol., 566, 643, 10.1016/j.jhydrol.2018.09.043 Esfahani, 2016, Linked optimal reactive contaminant source characterization in contaminated mine sites: case study, J. Water Resour. Plan. Manag., 142, 1, 10.1061/(ASCE)WR.1943-5452.0000707 Freeze, 1980, Groundwater, J. Hydrol. Gandomi, 2015, Handbook of genetic programming applications, Handb. Genet. Program. Appl., 1–593 Ghorbani, 2018, Chaos-based multigene genetic programming: a new hybrid strategy for river flow forecasting, J. Hydrol., 562, 455, 10.1016/j.jhydrol.2018.04.054 Guimerà, 2000, A comparison of hydraulic and transport parameters measured in low- permeability fractured media, J. Contam. Hydrol., 41, 261, 10.1016/S0169-7722(99)00080-7 Hadi, 2018, Monthly streamflow forecasting using continuous wavelet and multi-gene genetic programming combination, J. Hydrol., 561, 674, 10.1016/j.jhydrol.2018.04.036 Hammond, 2011, Stochastic simulation of uranium migration at the Hanford 300 Area, J. Contam. Hydrol., 120–121, 115, 10.1016/j.jconhyd.2010.04.005 Heřmanovský, 2017, Regionalization of runoff models derived by genetic programming, J. Hydrol., 547, 544, 10.1016/j.jhydrol.2017.02.018 Heydari, 2016, Coupled quantity-quality simulation-optimization model for conjunctive surface-groundwater use, Water Resour. Manag., 30, 4381, 10.1007/s11269-016-1426-3 Iraola, 2019, Assessing dual continuum method for multicomponent reactive transport, Comput. Geosci., 130, 11, 10.1016/j.cageo.2019.05.007 Jamei, 2020, Prediction of surface water total dissolved solids using hybridized wavelet-multigene genetic programming: new approach, J. Hydrol., 589, 10.1016/j.jhydrol.2020.125335 Kambekar, 2014, Real time wave forecasting using wind time history and genetic programming, Int. J. Ocean Clim. Syst., 5, 249, 10.1260/1759-3131.5.4.249 Khafagy, 2020, Simulation of reactive transport in fractured geologic media using random-walk particle tracking method, Arab. J. Geosci., 13, 10.1007/s12517-019-4952-5 Koza, 1994, Genetic programming as a means for programming computers by natural selection, Stat. Comput., 4, 87, 10.1007/BF00175355 Mahmoudzadeh, 2013, Solute transport in fractured rocks with stagnant water zone and rock matrix composed of different geological layers - model development and simulations, Water Resour. Res., 49, 1709, 10.1002/wrcr.20132 Medici, 2019, Groundwater flow velocities in a fractured carbonate aquifer-type: implications for contaminant transport, J. Contam. Hydrol., 222, 1, 10.1016/j.jconhyd.2019.02.001 Mehr, 2021, MSGP-LASSO: An improved multi-stage genetic programming model for streamflow prediction, Inf. Sci. (Ny), 561, 181, 10.1016/j.ins.2021.02.011 Moreno, 2009, Can we use tracer tests to obtain data for performance assessment of repositories for nuclear waste?, Hydrogeol. J., 17, 1067, 10.1007/s10040-008-0418-7 Muskus, 2018, Semi-analytical method for matrix diffusion in heterogeneous and fractured systems with parent-daughter reactions, J. Contam. Hydrol., 218, 94, 10.1016/j.jconhyd.2018.10.002 Neretnieks, 2006, Channeling with diffusion into stagnant water and into a matrix in series, Water Resour. Res., 42, 1, 10.1029/2005WR004448 Neretnieks, 1980, Diffusion in the rock matrix: an important factor in radionuclide retardation?, J. Geophys. Res. Solid Earth, 85, 4379, 10.1029/JB085iB08p04379 Neuman, 2005, Trends, prospects and challenges in quantifying flow and transport through fractured rocks, Hydrogeol. J., 13, 124, 10.1007/s10040-004-0397-2 Noetinger, 2016, Random walk methods for modeling hydrodynamic transport in porous and fractured media from pore to reservoir scale, Transp. Porous Media, 115, 345, 10.1007/s11242-016-0693-z Levene, H., 1960. in contributions to probability and statistics: essays in Honor of Harold Hotelling. In: I. Olkin et al. (eds.), Stanford University Press, pp. 278-292. Painter, 2008, Time domain particle tracking methods for simulating transport with retention and first-order transformation, Water Resour. Res., 44, 1, 10.1029/2007WR005944 Ren, 2018, Borehole characterization of hydraulic properties and groundwater flow in a crystalline fractured aquifer of a headwater mountain watershed, Laramie Range, Wyoming. J. Hydrol., 561, 780, 10.1016/j.jhydrol.2018.04.048 Sadat-Noori, 2020, Groundwater level prediction using genetic programming: the importance of precipitation data and weather station location on model accuracy, Environ. Earth Sci., 79, 1, 10.1007/s12665-019-8776-0 Searson, 2010, GPTIPS: An open source genetic programming toolbox for multigene symbolic regression, 77 Sheikh Khozani, 2020, An ensemble genetic programming approach to develop incipient sediment motion models in rectangular channels, J. Hydrol., 584, 10.1016/j.jhydrol.2020.124753 Stein, E.R., Frederick, J.M., Hammond, G.E., Kuhlman, K.L., Mariner, P.E., Sevougian, S.D., 2017. Modeling coupled reactive flow processes in fractured crystalline rock. In: Emily R. Stein, Jennifer M. Frederick, Glenn E. Hammond, Kristopher L. Kuhlman, Paul E. Mariner, S. David Sevougian. Sudicky, 1982, Contaminant transport in fractured porous media: analytical solutions for a system of parallel fractures, Water Resour. Res., 18, 1634, 10.1029/WR018i006p01634 Tang, 1981, Contaminant transport in fractured porous media: analytical solution for a single fracture, Comput. Geosci., 38, 80 Trinchero, 2020, Models for the assessment of transport of naturally-occurring nuclides in fractured media, J. Hydrol., 580, 10.1016/j.jhydrol.2019.124322 Trinchero, 2020, A particle-based conditional sampling scheme for the simulation of transport in fractured rock with diffusion into stagnant water and rock matrix, Water Resour. Res., 56, 1, 10.1029/2019WR026958 Wang, 2018, Revisit of advection-dispersion equation model with velocity-dependent dispersion in capturing tracer dynamics in single empty fractures, J. Hydrodyn., 30, 1055, 10.1007/s42241-018-0134-2 Wang, 2020, The effects of hydro-mechanical coupling in fractured rock mass on groundwater inflow into underground openings, Tunn. Undergr. Sp. Technol., 103, 10.1016/j.tust.2020.103489 Worthington, 2021, Deriving celerity from monitoring data in carbonate aquifers, J. Hydrol., 598, 10.1016/j.jhydrol.2021.126451 Yan, 2021, Modeling spatial distribution of flow depth in fluvial systems using a hybrid two-dimensional hydraulic-multigene genetic programming approach, J. Hydrol., 600, 10.1016/j.jhydrol.2021.126517 Zech, 2015, Is unique scaling of aquifer macrodispersivity supported by field data?, Water Resour.Res., 51, 7662, 10.1002/2015WR017220 Zhang, 2012 Zhou, 2007, Field-scale effective matrix diffusion coefficient for fractured rock: results from literature survey, J. Contam. Hydrol., 93, 161, 10.1016/j.jconhyd.2007.02.002