Question

Consider two horizontal layers of an aquifer as shown in figure. Each layer is isotropic and homogeneous. Flow is parallel to the stratification. Thickness and horizontal hydraulic conductivity of layer-1 are $h_1$i and $K_1$, respectively. Thickness and horizontal hydraulic conductivity of layer-2 are $h_2$ and $K_2$, respectively, where $h_1$ is not equal to $h_2$. The equivalent horizontal conductivity $K_x$ for the aquifer system is given by _____

• A. \(k_x = \frac{k_1.h_1 + k_2.h_2}{h_1 + h_2}\)
• B. \(k_x = \frac{k_1+K_2}2\)
• C. \(k_x = \frac{k_1.h_3 + k_2.h_2}{h_1 + h_2}\)
• D. \(k_x = \sqrt{k_1.k_2}\)

Answer 1

The Correct Option is A

The correct answer is (A) :

\(k_x = \frac{k_1.h_1 + k_2.h_2}{h_1 + h_2}\)