Department of Soil & Water Engineering, PAU, Ludhiana.
Notationsbi
Aquifer thickness, [L], i=1,2
C1Hydraulic resistance of semi-confining layer, [T]
diDepth to top of the well screen, [L], i=1,2
KiHydraulic conductivity, [L/t], i=1,2
K0(.)Zero order modified Bessel function of second kind
K1(.)First order modified Bessel function of second kind
IiDepth to bottom of the well screen, [L], i= 1,2
nFinite Fourier cosine transformation parameter
pLaplace transformation parameter
QConstant pumping rate, [L3/t]
Q1Discharge from upper aquifer, [L3/t]
Q2Discharge from lower aquifer, [L3/t]
rRadial co-ordinate, [L]
rwWell radius, [L]
SiStorage coefficient, [dimensionless], i=1,2
Drawdown distribution, [L], i= 1,2
iDrawdown in Laplace domain
SicDrawdown in Laplace and finite Fourier cosine transformation domain
SiaAverage drawdown distribution, [L], i= 1,2
TiTransmissivity, [L2/t], i=1,2
zVertical co-ordinate, [L], i=1,2
μiAquifer diffusivity, [L2/t], i=1,2
Transient state semi-analytical solutions have been developed using integral transform techniques for a discharging partially screened fully penetrating well installed in a multiple semi-confined, confined aquifer system. These solutions make it possible to predict the pumping levels and yield of multi-aquifer wells. They also provide a basis for predicting the drawdown distribution around such wells and the contribution of each aquifer to the total yield of the well. Important results of the analyses are given in charts using the usual range of values of different parameters. Developed solutions have been validated using data as mentioned in manuscripts by Mishra et al. (1985) & Singh et al. (1989).
Discharge well, Partially screened fully penetrating well, Multiple aquifers
