Water table fluctuation in a sloping aquifer with transient recharge

Singh, R. N.; Rai, S.N.; Ramana, D. V.

doi:10.1016/0022-1694(91)90162-b

Cited by 27 publications

(9 citation statements)

References 13 publications

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“…Workman et al (1997) study the interaction of an aperiodic reservoir and a deep horizontal aquifer of semiinfinite extent, subject to constant recharge. The series solution resembles that of Singh et al (1991), but the convolution integral is of the reservoir depth rather than the recharge. The solution compares favorably with field data at a monthly scale.…”

Section: Analytical Models Of Deep Unconfined Aquifer Flowmentioning

confidence: 93%

“…These LaPlace transform analyses are not calibrated with data either. Singh et al (1991) model aperiodic recharge to a deep unconfined sloping aquifer bound by constant head reservoirs with a series solution featuring recharge convolution integrals. Singh et al (1991) apply their solution to data from irrigation drains at a diurnal scale.…”

Section: Analytical Models Of Deep Unconfined Aquifer Flowmentioning

confidence: 99%

“…Singh et al (1991) model aperiodic recharge to a deep unconfined sloping aquifer bound by constant head reservoirs with a series solution featuring recharge convolution integrals. Singh et al (1991) apply their solution to data from irrigation drains at a diurnal scale. Su (1994) also models aperiodic recharge to a deep unconfined sloping aquifer bound by constant head reservoirs.…”

Section: Analytical Models Of Deep Unconfined Aquifer Flowmentioning

confidence: 99%

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Steady, annual, and monthly recharge implied by deep unconfined aquifer flow

Ostendorf

Rees

Kelley

et al. 2004

Journal of Hydrology

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Section: Analytical Models Of Deep Unconfined Aquifer Flowmentioning

confidence: 93%

Section: Analytical Models Of Deep Unconfined Aquifer Flowmentioning

confidence: 99%

Section: Analytical Models Of Deep Unconfined Aquifer Flowmentioning

confidence: 99%

See 1 more Smart Citation

Steady, annual, and monthly recharge implied by deep unconfined aquifer flow

Ostendorf

Rees

Kelley

et al. 2004

Journal of Hydrology

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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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“…This paper investigates the variation of the water table when both sides of the boundary level are moving with an exponential form. Ram and Chauhan (1986), Singh et al (1991), Brutsaert (1994), Verhoest and Troch (2000), and Zissis et al (2001) all studied the linearized Boussinesq equation problem considering the case of aquifers being located over an inclined impermeable barrier, and not over an inclined leaky barrier. Koussis et al (1998) studied groundwater flow over an inclined leaky barrier, and analysed the subsurface storm flow with the Muskingum-Cunge scheme.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of water table fluctuations above an inclined leaky layer due to ditch recharge

Hung¹,

Tan

Chen

et al. 2006

Hydrological Processes

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Abstract:Ditch recharge is a method used for raising a water table. However, if the aquifer lies above a leaky layer, then the leaky bed will have an effect on the height of the water table. This paper attempts to provide an analytical solution of the transient state to the linearized Boussinesq equation. The solution proposed in this paper is intended for a generalized form of the leaky layer, with the boundary condition of the water level moving according to an exponential form. The results of theoretical analysis and experimental studies can provide a much better explanation of ditch recharge on an inclined leaky layer.

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Water table fluctuation in a sloping aquifer with transient recharge

Cited by 27 publications

References 13 publications

Steady, annual, and monthly recharge implied by deep unconfined aquifer flow

Steady, annual, and monthly recharge implied by deep unconfined aquifer flow

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

Analytical solution of water table fluctuations above an inclined leaky layer due to ditch recharge

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