Well test


A well test is conducted to evaluate the amount of water that can be pumped from a particular water well. More specifically, a well test will allow prediction of the maximum rate at which water can be pumped from a well, and the distance that the water level in the well will fall for a given pumping rate and duration of pumping.
Well testing differs from aquifer testing in that the behaviour of the well is primarily of concern in the former, while the characteristics of the aquifer are quantified in the latter.
When water is pumped from a well the water level in the well falls. This fall is called drawdown. The amount of water that can be pumped is limited by the drawdown produced. Typically, drawdown also increases with the length of time that the pumping continues.

Well losses vs. aquifer losses

The components of observed drawdown in a pumping well were first described by Jacob, and the test was refined independently by Hantush and Bierschenk as consisting of two related components,
where s is drawdown, is the pumping rate, is the aquifer loss coefficient and is the well loss coefficient.
The first term of the equation describes the linear component of the drawdown; i.e., the part in which doubling the pumping rate doubles the drawdown.
The second term describes what is often called the 'well losses'; the non-linear component of the drawdown. To quantify this it is necessary to pump the well at several different flow rates. Rorabaugh added to this analysis by making the exponent an arbitrary power.
To analyze this equation, both sides are divided by the discharge rate, leaving on the left side, which is commonly referred to as specific drawdown. The right hand side of the equation becomes that of a straight line. Plotting the specific drawdown after a set amount of time since the beginning of each step of the test versus pumping rate should produce a straight line.
Fitting a straight line through the observed data, the slope of the best fit line will be and the intercept of this line with will be . This process is fitting an idealized model to real world data, and seeing what parameters in the model make it fit reality best. The assumption is then made that these fitted parameters best represent reality.
The relationship above is for fully penetrating wells in confined aquifers.

Well efficiency

Often the well efficiency is determined from this sort of test, this is a percentage indicating the fraction of total observed drawdown in a pumping well which is due to aquifer losses. A perfectly efficient well, with perfect well screen and where the water flows inside the well in a frictionless manner would have 100% efficiency. Unfortunately well efficiency is hard to compare between wells because it depends on the characteristics of the aquifer too.

Specific capacity

Specific capacity is a quantity that which a water well can produce per unit of drawdown. It is normally obtained from a step drawdown test. Specific capacity is expressed as:
where
The specific capacity of a well is also a function of the pumping rate it is determined at. Due to non-linear well losses the specific capacity will decrease with higher pumping rates. This complication makes the absolute value of specific capacity of little use; though it is useful for comparing the efficiency of the same well through time.