Falling Water Tables in Horizontal/Sloping Aquifer

Upadhyaya, Ashutosh; Chauhan, H. S.

doi:10.1061/(asce)0733-9437(2001)127:6(378)

Cited by 25 publications

(18 citation statements)

References 22 publications

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“…Other approaches to linearize the Boussinesq equation are based on different transformations. The most common technique linearizes the equation as a function of h 2 (see Upadhayaya and Chauhan, 2001). The inconvenience of these transformations is that the boundary conditions must also be formulated as a linear expression of the new variable in order to define a linear flow problem.…”

Section: Some Common Linearization Techniquesmentioning

confidence: 99%

A general methodology to simulate groundwater flow of unconfined aquifers with a reduced computational cost

Pulido-Velázquez

Sahuquillo

Andreu

et al. 2007

Journal of Hydrology

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Section: Some Common Linearization Techniquesmentioning

confidence: 99%

A general methodology to simulate groundwater flow of unconfined aquifers with a reduced computational cost

Pulido-Velázquez

Sahuquillo

Andreu

et al. 2007

Journal of Hydrology

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“…Similarly, flow in hill slopes (e.g. [9,17,24,26]) and coastal aquifers (e.g. [2,12,15,18,25]) is often modelled using Boussinesq approaches.…”

Section: Introductionmentioning

confidence: 99%

“…(27) is to keep B = 3 as suggested by both Eqs. (25) and (26) and calculate A from Eq. (23), giving,…”

mentioning

confidence: 99%

Similarity solution of axisymmetric flow in porous media

Lockington

Parlange

et al. 2005

Advances in Water Resources

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“…Experimental and computed transient midpoint water table height for non-sloping aquifer base.et al(1968) and with already existing 1-D finite-difference solution ofUpadhyaya and Chauhan (2001) for the case of water table decline from the initial level. The following parameter values are used.…”

mentioning

confidence: 99%

Numerical Solution of 2D Free Surface to Ditch Drains in Presence of Transient Recharge and Depth-Dependent ET in Sloping Aquifer

Singh

Jaiswal

2006

Water Resour Manage

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Water table variations between drains have been investigated by various researchers in response to transient recharge. Recent studies have shown the importance of incorporating the effect of evapotranspiration (ET) in the design of subsurface drainage systems. In arid and semi-arid regions, ET plays a crucial role in lowering the water table resulting in increased drain spacing. In this paper, a numerical solution of two-dimensional free surface flow to ditch drains is presented in presence of transient recharge and depth-dependent ET from land surface for an aquifer with sloping impermeable base. The midpoint water table variations obtained from the proposed solution compare well with experimental results as well as already existing mathematical solution. When ET from the land surface is taken into account in combination with recharge, the model results can provide accurate and reliable estimates of water table fluctuation under complex situations, which are highly related to the hydrology of waterlogged and saline soils. NotationsL = Length of aquifer [L] B = Width of aquifer [L] b = A constant that depends on soil type [T 1 ] C = T / X E(h) = ET as a function of water table height [LT 1 ] E 0 = Constant ET [LT 1 ] f = Drainable porosity [L 3 /L 3 ] h = Variable water table height [L] h 0 = Initial water table height [L] H = Dimensionless water table height [L/L] H n l,m = Dimensionless water table elevation at 'l' th and 'm' th nodes corresponding to 'n' th time level K = Hydraulic conductivity [LT 1 ] l, m, n = Subscripts denoting the variables in space and time 780 S. SINGH AND C. S. JAISWAL R(t) = Transient rate of recharge [LT 1 ] R 0 + R 1 = Initial rate of transient recharge [LT 1 ] R 1 = Final rate of transient recharge [LT 1 ] r = Decay constant for recharge rate [T 1 ] t = Time [T] T = Dimensionless time V n l,m = Value of dimensionless head at 'l' th and 'm' th nodes corresponding to 'n' th time level x,y = Coordinate axes [L] X, Y = Dimensionless space coordinates α = Slope of impermeable aquifer base = Increment operator θ = Coefficient used to discriminate the finite-difference scheme

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Falling Water Tables in Horizontal/Sloping Aquifer

Cited by 25 publications

References 22 publications

A general methodology to simulate groundwater flow of unconfined aquifers with a reduced computational cost

A general methodology to simulate groundwater flow of unconfined aquifers with a reduced computational cost

Similarity solution of axisymmetric flow in porous media

Numerical Solution of 2D Free Surface to Ditch Drains in Presence of Transient Recharge and Depth-Dependent ET in Sloping Aquifer

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