Formula & Calculator

Well Specific Capacity

Measures a well's efficiency by relating its pumping rate to the resulting drawdown, useful for comparing well performance.

GeologyHydrogeologyWell Design

Well Specific Capacity CalculatorSc = Q / s

Sc = Q / s
Sc = specific capacity (m³/h/m)  ·  Q = pumping rate (m³/h)  ·  s = drawdown (m)
⟹ SolveSc, Q, s
m³/h/m
m³/h
m
Solve for:
Presets:
Sc
Sc: Q: s:
✓ Copied!
Specific Capacity Gauge
Poor (< 1.5) Moderate (1.5–4.0) Good (4.0–8.0) Excellent (> 8.0)
Sc = Q / s  ·  Units: m³/h/m (Sc), m³/h (Q), m (s)

Interpretation

Sc = Q / s. Specific capacity is the pumping rate per unit drawdown. Used to evaluate well performance and efficiency. A key parameter in well design.

Sc = Q / s
Well Specific Capacity

Variables

SymbolQuantityUnit
ScSpecific capacitym3/day/m
QPumping ratem3/day
sDrawdownm

What it means

Specific capacity (Sc) is the ratio of the pumping rate (Q) to the drawdown (s) in a well. It is a measure of well efficiency: a higher Sc means the well yields more water per unit of drawdown. It is used in well design and evaluation, to compare wells, and to estimate transmissivity. It is also used in aquifer tests. Understanding specific capacity helps groundwater engineers select pumping equipment, design well fields, and manage groundwater resources effectively.

Worked example

Well Specific Capacity – Two Detailed Examples

Real‑World
Scenario: A pumping test on a well shows a pumping rate Q = 500 m³/day and a drawdown s = 5 m. The specific capacity Sc = Q / s = 500 / 5 = 100 m³/day per metre of drawdown. This high specific capacity indicates a highly productive well, which can deliver substantial water with minimal water‑level decline. The well is considered suitable for municipal water supply.
ParameterValue
Pumping Rate Q (m³/day)500
Drawdown s (m)5
1Sc = 500 / 5 = 100 m³/day/m
Result 100 m³/day/m ✓ High specific capacity
Scenario: A test on another well yields Q = 800 m³/day and s = 8 m, giving Sc = 800 / 8 = 100 m³/day/m. Although the pumping rate is higher, the drawdown is also proportionally larger, indicating the well has the same productivity as the first. The engineer uses specific capacity to compare wells and assess aquifer performance, which is important for optimising well placement.
ParameterValue
Q800
s8
1Sc = 800 / 8 = 100 m³/day/m
Result 100 m³/day/m ✓ Same productivity
Insight: Specific capacity is a measure of well productivity. It is the pumping rate per unit of drawdown. A higher specific capacity indicates a more efficient well and a more permeable aquifer.

Common mistakes

  • Specific capacity: Sc = Q / s – the pumping rate per unit drawdown.
  • Q: Pumping rate – in m³/day or L/min.
  • s: Drawdown in the well – in metres.
  • Units: m³/day per metre (m²/day) or equivalent.
  • Not constant: Sc decreases with pumping time and is affected by well efficiency.

Applications

Well specific capacity, Sc = Q/s, is the pumping rate per unit drawdown, providing a measure of well efficiency and aquifer productivity. This is used to evaluate well performance, to compare wells, and to estimate aquifer properties. Hydrogeologists use specific capacity data from step‑drawdown tests to determine the well loss and the formation loss components. By monitoring Sc over time, professionals can detect changes in well condition (e.g., clogging) or aquifer behaviour. This parameter is essential for well design, maintenance, and groundwater management.

  • Well performance evaluation and efficiency assessment
  • Comparison of well yields for water‑supply planning
  • Step‑drawdown test analysis for well losses
  • Monitoring of well clogging and rehabilitation needs
  • Estimation of aquifer transmissivity from specific capacity

Frequently Asked Questions

Q01What is well specific capacity and how is it calculated?
A01

Sc = Q / s, where Q is the pumping rate (m³/day) and s is the drawdown (m). It is a measure of well performance, indicating the pumping rate per unit drawdown.

Q02What are the units of specific capacity?
A02

Specific capacity has units of m³/day per metre of drawdown, often expressed as m²/day (since Q/s = (m³/day)/m = m²/day).

Q03What is a typical specific capacity for a good well?
A03

For a municipal well, specific capacity might range from 1 to 50 m²/day (or higher). A well with Sc < 1 m²/day is considered poor.

Q04How does specific capacity vary with pumping rate?
A04

Specific capacity generally decreases with higher pumping rate due to non‑linear well losses (turbulence, friction). Thus, it is not a constant.

Q05What is the relationship between specific capacity and transmissivity?
A05

Approximately, T ≈ Sc (if the well is 100% efficient). In practice, T = Sc × (recovery factor) due to partial penetration, skin effects, etc.

Q06How is specific capacity used in well design?
A06

It is used to evaluate the effectiveness of a well, compare different well designs, and estimate the sustainable yield.

Q07What factors affect specific capacity?
A07

  • Aquifer properties – T and S.
  • Well construction – screen length, slot size, and gravel pack.
  • Well losses – due to turbulence and friction.
  • Partial penetration – incomplete penetration of the aquifer.

Q08How do well losses affect specific capacity?
A08

Well losses reduce the effective drawdown, lowering Sc. A lower Sc indicates higher well losses and less efficient well.

Q09How can specific capacity be improved?
A09

By increasing the well diameter, screen length, using a gravel pack, and reducing well losses (e.g., using a submersible pump).

Q10Is specific capacity a reliable indicator of aquifer productivity?
A10

It is a good first‑order indicator, but it must be interpreted with care because it depends on the test conditions (pumping rate, duration) and well efficiency.