Research output: Contribution to journal › Article › peer-review
Effect of Depth-Dependent Hydraulic Conductivity and Anisotropy on Transit Time Distributions. / Rumynin, V.G.; Leskova, P.G.; Sindalovskiy, L.N.; Nikulenkov, A.M.
In: Journal of Hydrology, Vol. 579, 124161, 12.2019.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Effect of Depth-Dependent Hydraulic Conductivity and Anisotropy on Transit Time Distributions
AU - Rumynin, V.G.
AU - Leskova, P.G.
AU - Sindalovskiy, L.N.
AU - Nikulenkov, A.M.
PY - 2019/12
Y1 - 2019/12
N2 - The paper presents exact closed-form analytical solutions describing a two-dimensional profile confined groundwater flow induced by areal recharge in a laterally bounded aquifer with anisotropic permeability, which decreases with depth. The mathematical formulation of the problem for a rectangular flow domain in terms of hydraulic head and stream function are free of the limitation of the Dupuit–Forchheimer assumption. Two different types of outflow boundary conditions associated with the aquifer discharge area, Dirichlet and Neumann, are explored. Analytical solutions with respect to stream function allow examining the distribution of recharge over depth (between contouring streamlines) for a variety of flow parameter combinations. The solutions are extended to allow the groundwater transit time distribution (TTD) to be calculated. It was found that the dependence of the transit time function on hydraulic conductivity anisotropy and depth-decay coefficients may exhibit non-monotonic behavior. The mathematical models introduced in the article are accompanied by computational simulations.
AB - The paper presents exact closed-form analytical solutions describing a two-dimensional profile confined groundwater flow induced by areal recharge in a laterally bounded aquifer with anisotropic permeability, which decreases with depth. The mathematical formulation of the problem for a rectangular flow domain in terms of hydraulic head and stream function are free of the limitation of the Dupuit–Forchheimer assumption. Two different types of outflow boundary conditions associated with the aquifer discharge area, Dirichlet and Neumann, are explored. Analytical solutions with respect to stream function allow examining the distribution of recharge over depth (between contouring streamlines) for a variety of flow parameter combinations. The solutions are extended to allow the groundwater transit time distribution (TTD) to be calculated. It was found that the dependence of the transit time function on hydraulic conductivity anisotropy and depth-decay coefficients may exhibit non-monotonic behavior. The mathematical models introduced in the article are accompanied by computational simulations.
KW - AGE
KW - Aquifer anisotropy
KW - DISPERSION
KW - Flow net structure
KW - GROUNDWATER-FLOW
KW - Groundwater recharge
KW - RECHARGE
KW - THEORETICAL-ANALYSIS
KW - Transit time distribution
KW - Vertical aquifer heterogeneity
UR - https://www.sciencedirect.com/science/article/pii/S0022169419308960
U2 - 10.1016/j.jhydrol.2019.124161
DO - 10.1016/j.jhydrol.2019.124161
M3 - Article
VL - 579
JO - Journal of Hydrology
JF - Journal of Hydrology
SN - 0022-1694
M1 - 124161
ER -
ID: 46578076