Numerical Evaluation of Fractional Vertical Soil Water Flow Equations
暂无分享,去创建一个
[1] D. Benson,et al. Hydraulic conductivity, velocity, and the order of the fractional dispersion derivative in a highly heterogeneous system , 2002 .
[2] B. Berkowitz,et al. Measurement and analysis of non-Fickian dispersion in heterogeneous porous media. , 2003, Journal of contaminant hydrology.
[3] Diego A. Murio,et al. Implicit finite difference approximation for time fractional diffusion equations , 2008, Comput. Math. Appl..
[4] R. Sidle,et al. Spatially varying hydraulic and solute transport characteristics of a fractured till determined by field tracer tests, Funen, Denmark , 1998 .
[5] Zaid M. Odibat,et al. Computational algorithms for computing the fractional derivatives of functions , 2009, Math. Comput. Simul..
[6] K. K. Watson. An instantaneous profile method for determining the hydraulic conductivity of unsaturated porous materials , 1966 .
[7] Luciano Lopez,et al. The 1D Richards’ equation in two layered soils: a Filippov approach to treat discontinuities , 2017 .
[8] Georges Vachaud,et al. Hysteresis During Infiltration and Redistribution in a Soil Column at Different Initial Water Contents , 1971 .
[9] W. Green. Studies in soil physics : I. The flow of air and water through soils , 1911 .
[10] Sean Andrew McKenna,et al. On the late‐time behavior of tracer test breakthrough curves , 2000 .
[11] John A. Cherry,et al. Migration of contaminants in groundwater at a landfill: A case study: 4. A natural-gradient dispersion test , 1983 .
[12] N. Su. Mass-time and space-time fractional partial differential equations of water movement in soils: theoretical framework and application to infiltration , 2014 .
[13] Keith Beven,et al. Macropores and water flow in soils revisited , 2013 .
[14] L. A. Richards. Capillary conduction of liquids through porous mediums , 1931 .
[15] Y. Pachepsky,et al. Generalized Richards' equation to simulate water transport in unsaturated soils , 2003 .
[16] Randel Haverkamp,et al. A Comparison of Numerical Simulation Models For One-Dimensional Infiltration1 , 1977 .
[17] J. Philip,et al. THE THEORY OF INFILTRATION: 2. THE PROFILE OF INFINITY , 1957 .
[18] W. Green,et al. Studies on Soil Phyics. , 1911, The Journal of Agricultural Science.
[19] S. L. Rawlins,et al. A Test of the Validity of the Diffusion Equation for Unsaturated Flow of Soil Water 1 , 1963 .
[20] D. Benson,et al. Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications , 2009 .
[21] Y. Mualem. A New Model for Predicting the Hydraulic Conductivity , 1976 .
[22] J. Philip,et al. Theory of Infiltration , 1969 .
[23] J. Parlange,et al. Anomalous water absorption in porous materials , 2003 .
[24] Van Genuchten,et al. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .
[25] H. Gerke,et al. Dual‐permeability model for flow in shrinking soil with dominant horizontal deformation , 2012 .
[26] R. Kanivetsky,et al. On the propagation of nonlinear transients of temperature and pore pressure in a thin porous boundary layer between two rocks , 2019, Journal of Hydrology.
[27] M. Caputo. Linear Models of Dissipation whose Q is almost Frequency Independent-II , 1967 .
[28] N. Su. Theory of infiltration: infiltration into swelling soils in a material coordinate. , 2010 .
[29] Hongguang Sun,et al. A fractal Richards' equation to capture the non-Boltzmann scaling of water transport in unsaturated media. , 2013, Advances in water resources.
[30] Brian Berkowitz,et al. Theory of anomalous chemical transport in random fracture networks , 1998 .
[31] D. R. Nielsen,et al. Experimental Consideration of Diffusion Analysis in Unsaturated Flow Problems 1 , 1962 .
[32] M. Kavvas,et al. Governing equations of transient soil water flow and soil water flux in multi-dimensional fractional anisotropic media and fractional time , 2016 .
[33] David A. Benson,et al. Space‐fractional advection‐dispersion equations with variable parameters: Diverse formulas, numerical solutions, and application to the Macrodispersion Experiment site data , 2007 .
[34] D. R. Nielsen,et al. Spatial variability of field-measured soil-water properties , 1973 .
[35] J. Philip. THE THEORY OF INFILTRATION: 1. THE INFILTRATION EQUATION AND ITS SOLUTION , 1957 .
[36] E. Simpson,et al. Laboratory evidence of the scale effect in dispersion of solutes in porous media , 1987 .
[37] Vaughan R Voller,et al. On a fractional derivative form of the Green–Ampt infiltration model , 2011 .
[38] I. Vardoulakis,et al. Modelling infiltration by means of a nonlinear fractional diffusion model , 2006 .
[39] E. Park,et al. Numerical solution of the Kirchhoff-transformed Richards equation for simulating variably saturated flow in heterogeneous layered porous media , 2019 .
[40] J. Milczarek,et al. Neutron radiography study of water absorption in porous building materials: anomalous diffusion analysis , 2004 .
[41] T. Talsma,et al. Infiltration and water movement in an in situ swelling soil during prolonged ponding , 1976 .
[42] Ji-Huan He. Approximate analytical solution for seepage flow with fractional derivatives in porous media , 1998 .
[43] M. Küntz,et al. Experimental evidence and theoretical analysis of anomalous diffusion during water infiltration in porous building materials , 2001 .
[44] R. Horton. An Approach Toward a Physical Interpretation of Infiltration-Capacity1 , 1941 .
[45] W. R. Gardner. Field measurement of soil water diffusivity. , 1970 .
[46] G. Zaslavsky. Chaos, fractional kinetics, and anomalous transport , 2002 .
[47] M. V. Genuchten,et al. A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media , 1993 .
[48] S. Logsdon. TRANSIENT VARIATION IN THE INFILTRATION RATE DURING MEASUREMENT WITH TENSION INFILTROMETERS , 1997 .