Question

The discharge for drawdown of well is given by _______

(a) \(q=\frac{2πkb(H-h)}{log_{10}\frac{R}{r}}\)

(b) \(q=\frac{2πkb(H-h)}{log_e\frac{r}{R}}\)

(c) \(q=\frac{2πkb(H-h)}{log_e\frac{R}{r}}\)

(d) \(q=\frac{kb(H-h)}{log_e\frac{R}{r}}\)

I have been asked this question during an internship interview.

This intriguing question comes from Well Hydraulics topic in chapter Well Hydraulics of Geotechnical Engineering I

Answer 1

The correct choice is (c) \(q=\frac{2πkb(H-h)}{log_e\frac{R}{r}}\)

The explanation is: The formula for discharge for drawdown of well is given by,

\(q=\frac{2πkb(H-h)}{log_e\frac{R}{r}}\)

where, \(\)q=discharge

k=coefficient of permeability

b=aquifer thickness

R=radius of influence

r=radius of tube well

(H-h)=drawdown.