Specific capacity (specific yield) of wells: select the correct unit definition Specific capacity is defined as the discharge of a well per unit drawdown. Which unit correctly represents this quantity?

Difficulty: Easy

Correct Answer: m^3/hour per metre of drawdown

Explanation:


Introduction / Context:
In groundwater engineering, specific capacity (also called specific yield of a well in pumping-test context) helps compare the performance of wells tapping different aquifers or constructed with different designs.



Given Data / Assumptions:

  • Specific capacity = well discharge divided by drawdown at the well during pumping.
  • Drawdown is measured in metres.
  • Discharge is commonly recorded in m^3/hour (or m^3/day).


Concept / Approach:
Because specific capacity normalizes discharge by drawdown, its dimensional form is volume per time per length. A convenient unit is m^3/hour per metre of drawdown (equivalently m^2/hour). Using only m^3/hour would ignore drawdown; per m^2 is unrelated to the definition.



Step-by-Step Solution:

Write definition: SC = Q / s, where Q is discharge and s is drawdown.Assign units: Q in m^3/h, s in m → SC in m^3/h/m.Select the option that matches m^3/hour per metre of drawdown.


Verification / Alternative check:
Dimensional analysis: m^3/h divided by m equals m^2/h, confirming consistency.



Why Other Options Are Wrong:

  • (a) and (b) omit drawdown, so they are not “specific”.
  • (d) and (e) introduce area terms not in the definition.


Common Pitfalls:
Confusing aquifer “specific yield” (a storage parameter) with well “specific capacity”; here we refer to well performance in pumping tests.



Final Answer:
m^3/hour per metre of drawdown

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