Question

If \( d \) is the depth of an aquifer through which water is flowing, then the relationship between permeability \( K \) and transmissibility (also known as transmissivity) \( T \) is given by _______.

• A. \( T = Kd \)
• B. \( T = K/d \)
• C. \( T = \sqrt{Kd} \)
• D. \( K = \sqrt{Td} \)

Hint:

Transmissibility \( T \) is a product of permeability \( K \) and aquifer thickness \( d \), and it quantifies the ability of the aquifer to transmit water.

Answer 1

The Correct Option is A

Transmissibility (\( T \)) is a measure of how easily groundwater can flow through an aquifer. It is the product of the aquifer's permeability (\( K \)) and the thickness of the aquifer (\( d \)). 
Step 1: Definition of Transmissibility and Permeability 
- Permeability (\( K \)) is a property of the aquifer material that measures its ability to transmit water. - Transmissibility (\( T \)) is a measure of the ability of the aquifer to transmit water over a unit width and is related to both the permeability and the thickness of the aquifer. 
Step 2: Relationship between Transmissibility and Permeability 
The relationship between transmissibility (\( T \)), permeability (\( K \)), and aquifer thickness (\( d \)) is given by: \[ T = Kd \] This equation tells us that transmissibility is directly proportional to both the permeability and the thickness of the aquifer. 
Final Answer: \[ \boxed{\text{(A) } T = Kd} \]