Water table fluctuation in response to transient recharge from a rectangular basin

N., S.; Manglik, A.; Singh, R. N.

doi:10.1007/bf00872276

Cited by 19 publications

(7 citation statements)

References 8 publications

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“…Rao and Sharma (1981a, b) presented an analytical solution of two-dimensional linearized Boussinesq equation to predict the fluctuation in water table due to constant recharge from a rectangular basin. Analytical and numerical expressions to predict the mound height in a horizontal aquifer in response to constant or time-varying replenishment from a rectangular basin were presented by Latinopoulos (1984Latinopoulos ( , 1986, Rai et al (1994), Rai and Singh (1996), Manglik and Rai (1998) and Rai and Manglik (1999). Evolution and stabilization of groundwater mound in response to constant or transient recharge from multiple recharge basins has been studied by many investigators (Manglik and Rai 2000;Manglik et al 2004;Rai et al 2006).…”

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confidence: 98%

Response of an Unconfined Sloping Aquifer to Constant Recharge and Seepage from the Stream of Varying Water Level

Bansal

Das

2010

Water Resour Manage

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This paper presents analytical solution of one-dimensional linearized Boussinesq equation characterizing unsteady groundwater flow in an unconfined aquifer, overlying an impervious downward sloping bed. At one end, the aquifer is in contact with a constant water level and at the other end; water level is rising exponentially from an adjoining stream. The aquifer also receives constant or cycle of time-varying vertical recharge. Analytical expressions for hydraulic head and flow rate in the aquifer are obtained by solving the seepage model using Laplace transform. The expressions derived here can explain sudden rise or very slow rise in the stream water related to sloping or horizontal beds and are represented under asymptotic case. Response of a short and long aquifer to the variation in bed slope, recharge rate and rise rate of the stream water is illustrated with the help of numerical examples. The sensitivity of the flow rate is also analyzed with respect to various parameters. NomenclatureK hydraulic conductivity [LT −1 ] h 0 piezometric head at the left boundary [L] initial water level in the stream [L] x horizontal x-axis [L] t time [T] t r time period in which recharge changes from N 1 to N 2 [T] S specific yield [-] h water table height above impermeable bed [L] H normalized water head height [-] . L length of the domain [L] D aquifer's depth [L] N(t) time-varying recharge rate [LT −1 ] N 1 , N 2 constant recharge rates [LT −1 ] p linearization constant [-] X distance ratio x/L [-] A, B constants [-] H* normalized steady-state value of water head q flow rate [steady-state flow rate at x = 0 [-] Q * (x = L) normalized steady-state flow rate at x = L [-] β Slope angle of the aquifer's bed [-] λ Rise constant [T −1 ] α (L tan β)/2pD. τ normalized time [-] τ r normalized time corresponding to t = t r [-]

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confidence: 98%

Response of an Unconfined Sloping Aquifer to Constant Recharge and Seepage from the Stream of Varying Water Level

Bansal

Das

2010

Water Resour Manage

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“…Many investigators, such as (Averianov, 1956;Gardner and Fireman, 1958;Singh et al, 1976, Sharma andParihar, 1973;Nikam et al, 1992;Grismer andGates, 1988 andSingh et al, 1996) have reported ET as a function of water table height in arid and semi-arid regions. Rai et al (1981Rai et al ( , 1985Rai et al ( , 1992, Singh and Rai (1980), Ram and Chauhan (1987), Singh et al (1991), Rai et al (1994) and Ramana et al (1995) have studied the water table fluctuation in response to variation in the rate of recharge. These studies show that a reduction in the rate of recharge causes significant reduction in the rise of water table height.…”

Section: Introductionmentioning

confidence: 98%

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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“…Zomorodi (1991) has shown that the analytical solution given by Dagan (1966) for constant rate of recharge failed to predict the declining trend of water table which is caused by a decrease in the rate of recharge. Rai et al (1994), Singh (1995, 1996), Rai et al (1998); Ramana et al (1995) have presented analytical solutions of linearized Boussinesq equation to describe water table fluctuation in response to time varying recharge. In all these works the rate of recharge is considered as exponentially decreasing with time during one cycle of recharge operation from a single basin.…”

Section: Introductionmentioning

confidence: 99%

Water table fluctuation owing to time-varying recharge, pumping and leakage

Rai

Manglik

Singh

2006

Journal of Hydrology

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Water table fluctuation in response to transient recharge from a rectangular basin

Cited by 19 publications

References 8 publications

Response of an Unconfined Sloping Aquifer to Constant Recharge and Seepage from the Stream of Varying Water Level

Response of an Unconfined Sloping Aquifer to Constant Recharge and Seepage from the Stream of Varying Water Level

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

Water table fluctuation owing to time-varying recharge, pumping and leakage

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