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The Theis equation was created by Charles Vernon Theis (working for the US Geological Survey) in 1935, [1] from heat transfer literature (with the mathematical help of C.I. Lubin), for two-dimensional radial flow to a point sink in an infinite, homogeneous aquifer. It is simply
Because the flow rate into or out of the well is not constant, as is the case in a typical aquifer test, the standard Theis solution does not work. Mathematically , the Theis equation is the solution of the groundwater flow equation for a step increase in discharge rate at the pumping well; a slug test is instead an instantaneous pulse at the ...
The Theis equation is one of the most commonly used and fundamental solutions to the groundwater flow equation; it can be used to predict the transient evolution of head due to the effects of pumping one or a number of pumping wells. The Thiem equation is a solution to the steady state groundwater flow equation (Laplace's Equation) for flow to ...
where s is drawdown (units of length e.g., m), is the pumping rate (units of volume flowrate e.g., m³/day), is the aquifer loss coefficient (which increases with time — as predicted by the Theis solution) and is the well loss coefficient (which is constant for a given flow rate).
The above groundwater flow equations are valid for three dimensional flow. In unconfined aquifers, the solution to the 3D form of the equation is complicated by the presence of a free surface water table boundary condition: in addition to solving for the spatial distribution of heads, the location of this surface is also an unknown. This is a ...
These equations relate a change in total or water volume (or ) per change in applied stress (effective stress — or pore pressure — ) per unit volume. The compressibilities (and therefore also S s ) can be estimated from laboratory consolidation tests (in an apparatus called a consolidometer), using the consolidation theory of soil mechanics ...
Theis was held on a parole detainer, awaiting sentencing on convictions of first-degree home invasion, larceny of vehicles and other crimes, according to the Morning Sun. A bedsheet was reportedly used. Jail or Agency: Isabella County Jail; State: Michigan; Date arrested or booked: UNKNOWN; Date of death: 5/31/2016; Age at death: 36; Sources ...
Nonequilibrium groundwater flow in the Theis solution (called a well function) Radiative transfer in stellar and planetary atmospheres; Radial diffusivity equation for transient or unsteady state flow with line sources and sinks; Solutions to the neutron transport equation in simplified 1-D geometries [18]