Aquifer test
An aquifer test is conducted to evaluate an aquifer by "stimulating" the aquifer through constant pumping, and observing the aquifer's "response" in observation wells. Aquifer testing is a common tool that hydrogeologists use to characterize a system of aquifers, aquitards and flow system boundaries.
A slug test is a variation on the typical aquifer test where an instantaneous change is made, and the effects are observed in the same well. This is often used in geotechnical or engineering settings to get a quick estimate of the aquifer properties immediately around the well.
Aquifer tests are typically interpreted by using an analytical model of aquifer flow to match the data observed in the real world, then assuming that the parameters from the idealized model apply to the real-world aquifer. In more complex cases, a numerical model may be used to analyze the results of an aquifer test, but adding complexity does not ensure better results.
Aquifer testing differs from well testing in that the behaviour of the well is primarily of concern in the latter, while the characteristics of the aquifer are quantified in the former. Aquifer testing also often utilizes one or more monitoring wells, or piezometers. A monitoring well is simply a well which is not being pumped. Typically monitoring and pumping wells are screened across the same aquifers.
General characteristics
Most commonly an aquifer test is conducted by pumping water from one well at a steady rate and for at least one day, while carefully measuring the water levels in the monitoring wells. When water is pumped from the pumping well the pressure in the aquifer that feeds that well declines. This decline in pressure will show up as drawdown in an observation well. Drawdown decreases with radial distance from the pumping well and drawdown increases with the length of time that the pumping continues.The aquifer characteristics which are evaluated by most aquifer tests are:
- Hydraulic conductivity The rate of flow of water through a unit cross sectional area of an aquifer, at a unit hydraulic gradient. In US units the rate of flow is in gallons per day per square foot of cross sectional area; in SI units hydraulic conductivity is usually quoted in m3 per day per m2. Units are frequently shortened to metres per day or equivalent.
- Specific storage or storativity: a measure of the amount of water a confined aquifer will give up for a certain change in head;
- Transmissivity The rate at which water is transmitted through whole thickness and unit width of an aquifer under a unit hydraulic gradient. It is equal to the hydraulic conductivity times the thickness of an aquifer;
- Specific yield or drainable porosity: a measure of the amount of water an unconfined aquifer will give up when completely drained;
- Leakage coefficient: some aquifers are bounded by aquitards which slowly give up water to the aquifer, providing additional water to reduce drawdown;
- The presence of aquifer boundaries and their distance from the pumped well and piezometers.
Analysis methods
- leaky aquitards,
- unconfined flow,
- partial penetration of the pumping and monitoring wells,
- finite wellbore radius — which can lead to wellbore storage,
- dual porosity,
- anisotropic aquifers,
- heterogeneous aquifers,
- finite aquifers, and
- combinations of the above situations.
Transient Theis solution
The Theis equation was created by Charles Vernon Theis in 1935, from heat transfer literature, for two-dimensional radial flow to a point source in an infinite, homogeneous aquifer. It is simplywhere s is the drawdown, u is a dimensionless time parameter, Q is the discharge rate of the well, T and S are the transmissivity and storativity of the aquifer around the well, r is the distance from the pumping well to the point where the drawdown was observed, t is the time since pumping began, and W is the "Well function". The well function is approximated by the infinite series
Typically this equation is used to find the average T and S values near a pumping well, from drawdown data collected during an aquifer test. This is a simple form of inverse modeling, since the result is measured in the well, r, t, and Q are observed, and values of T and S which best reproduce the measured data are put into the equation until a best fit between the observed data and the analytic solution is found.
The Theis solution is based on the following assumptions:
- The flow in the aquifer is adequately described by Darcy's law.
- homogeneous, isotropic, confined aquifer,
- well is fully penetrating,
- the well has zero radius — therefore no water can be stored in the well,
- the well has a constant pumping rate Q,
- the head loss over the well screen is negligible,
- aquifer is infinite in radial extent,
- horizontal, flat, impermeable top and bottom boundaries of aquifer,
- groundwater flow is horizontal
- no other wells or long term changes in regional water levels
solution may still be useful.
Steady-state Thiem solution
Steady-state radial flow to a pumping well is commonly called the Thiem solution, it comes about from application of Darcy's law to cylindrical shell control volumes about the pumping well; it is commonly written as:In this expression h0 is the background hydraulic head, h0-h is the drawdown at the radial distance r from the pumping well, Q is the discharge rate of the pumping well, T is the transmissivity, and R is the radius of influence, or the distance at which the head is still h0. These conditions never truly occur in nature, but it can often be used as an approximation to actual conditions; the solution is derived by assuming there is a circular constant head boundary surrounding the pumping well at a distance R.
Analysis software
- from the US Geological Survey
- – Pumping test and slug test data analysis software
- – advanced commercial software
- – standard commercial software
- – Free software for pumping test and slug test analysis in one or two aquifer systems
- – Groundwater pollution analysis using pumping tests and pollution parameters from pumped groundwater
- - Open source toolbox for pumping and build up tests interpretation on Matlab
- - advanced commercial software for heterogeneous aquifers characterization, hydraulic tomography and multiple pumping tests