Hydrogeologist workbench (ANSQUICK) > Drawdown during aquifer tests > Steady-state solutions

Steady-state solutions. Press "Unsteady-state" button to go to transient solutions for circular aquifer.

1. Pumping well in the center of circular aquifer

"Well in center" tab of "Circular aquifer" dialog box.

Explanatory table for tab "Well in center"

"ε, m/day" text box	Recharge rate
"Q, m^3/day" text box	Constant pumping rate of a well
"sw, m" and "s, m" text box	Fields show calculated drawdown in the pumping well (sw) and observation well (s)
"k, m/day" text box	Hydraulic conductivity of aquifer
"B, m" text box	Leaky factor
"Leaky" option	Leaky aquifer
"m, m" text box	Aquifer thickness
"R, m" text box	Radius of circular aquifer
"rw, m" text box	The pumping well radius
"r, m" text box	Distance from the pumping well to an observation well
"Boundary conditions" frame	Boundary conditions: I kind or II kind
"Unconfined" option	Unconfined aquifer
"r (Hmax)" button	Finds the distance from pumping well to the point with the maximum head. The button is available for pumping in unconfined aquifer. The resulting value is displayed in the "r, m" text box. In the absence of infiltration or in the absence of a maximum, this field shows the distance to the boundary

Steady-state equations

Recharge boundary (I kind):

drawdown in observation well (non-leaky confined aquifer)

drawdown in pumping well (non-leaky confined aquifer)

drawdown in observation well (leaky aquifer)

drawdown in pumping well (leaky aquifer)

drawdown in observation well and pumping well (unconfined aquifer)

distance from pumping well to point with maximum head (see "r, m" text box):

No-flow boundary (II kind):

drawdown in observation well (leaky aquifer)

drawdown in pumping well (leaky aquifer)

2. Pumping well is offset from the center of the circular aquifer

"Eccentric well" tab of "Circular aquifer" dialog box.

Explanatory table for tab "Eccentric well"

"Q, m^3/day" text box	Constant pumping rate of a well
"sw, m" and "s, m" text box	Fields show calculated drawdown in pumping well (sw) and observation well (s)
"k, m/day" text box	Hydraulic conductivity of aquifer
"B, m" text box	Leaky factor
"Leaky" option	Leaky aquifer
"m, m" text box	Aquifer thickness
"R, m" text box	Radius of circular aquifer
"rw, m" text box	Pumping well radius
"r, m" text box	Distance from the pumping well to an observation well
"Lw, m" text box	Distance from the pumping well to the center of circular aquifer
"Lp, m" text box	Distance from observation well to the center of circular aquifer
"Boundary conditions" frame	Boundary condition: I kind or II kind

Steady-state equations

Recharge boundary (I kind):

drawdown in observation well (non-leaky confined aquifer)

drawdown in pumping well (non-leaky confined aquifer)

drawdown in observation well (leaky aquifer)

drawdown in pumping well (leaky aquifer)

No-flow boundary (II kind):

drawdown in observation well (leaky aquifer)

drawdown in pumping well (leaky aquifer)

3. Constant-head test

"Constant-head test" tab of "Circular aquifer" dialog box.

Explanatory table for tab "Constant-head test"

"Q, m^3/day" text box	Calculated pumping rate
"sw, m" text box	Constant drawdown in pumping well
"s, m" text box	Calculated drawdown in observation well
"k, m/day" text box	Hydraulic conductivity of aquifer
"B, m" text box	Leaky factor
"Leaky" option	Leaky aquifer
"m, m" text box	Aquifer thickness
"R, m" text box	Radius of circular aquifer
"rw, m" text box	Pumping well radius
"r, m" text box	Distance from the pumping well to an observation well
"Boundary conditions" frame	Boundary conditions: I or II kind

Steady-state equations

Recharge boundary (I kind):

drawdown in observation well (non-leaky aquifer)

pumping rate (non-leaky aquifer)

drawdown in observation well (leaky aquifer)

pumping rate (leaky aquifer)

No-flow boundary (II kind):

drawdown in observation well (leaky aquifer)

pumping rate (leaky aquifer)

4. Pumping test in circular leaky aquifer (variable level in the adjacent aquifer)

"Leaky aquifer" tab of "Circular aquifer" dialog box.

Explanatory table for tab "Leaky aquifer"

"Q, m^3/day" text box	Constant pumping rate of a well
"s, m" and "s2, m" text box	Calculated drawdown in the main aquifer and the adjacent aquifer
"T2, m^2/day" text box	Transmissivity of the adjacent aquifer
"k, m/day" text box	Hydraulic conductivity of the main aquifer
"B, m" text box	Leaky factor
"B2, m" text box	Leaky factor for the adjacent aquifer
"m, m" text box	The main aquifer thickness
"R, m" text box	Radius of circular aquifer
"r, m" text box	Distance from the pumping well to an observation well

Steady-state equations for the recharge boundary (I kind):

drawdown in the main aquifer

drawdown in the adjacent aquifer

5. Two-layer aquifer. Length of pumping well screen is equal to the total thickness

"Two aquifers" tab of "Circular aquifer" dialog box.

Explanatory table for tab "Two aquifers"

"Q, m^3/day" text box	Constant pumping rate of a well
"sw, m" text box	Calculated drawdown in pumping well
"k1, m/day" and "k2, m/day" text box	Hydraulic conductivity of the upper aquifer and the lower aquifer
"m1, m" and "m2, m" text box	Thickness of the upper aquifer and the lower aquifer
"R, m" text box	Radius of circular aquifer
"rw, m" text box	Pumping well radius
"k(av), m" text box	Average hydraulic conductivity

Steady-state equations for the recharge boundary (I kind):

drawdown in pumping well

Average hydraulic conductivity

6. Two-layer aqufer system

"Two aquifers - 2" tab of "Circular aquifer" dialog box.

Explanatory table for tab "Two aquifers - 2"

"Q, m^3/day" text box	Constant pumping rate of a well
"s, m" and "s', m" text box	Calculated drawdown in the main aquifer (s) and aquitard (s')
"k, m/day" and "k', m/day" text box	Hydraulic conductivity of the main aquifer and aquitard
"m, m" and "m', m" text box	Thickness of the main aquifer and aquitard
"B, m" text box	Calculated leaky factor and hydraulic conductivity of aquitard
"R, m" text box	Radius of circular aquifer
"r, m" text box	Distance from the pumping well to an observation well
"z, m" text box	Vertical distance from the aquifer top to point in aquifer
"z', m" text box	Vertical distance from the aquitard bottom to a selected point in aquitard
"Aquifer" option	Add the adjacent aquifer

Steady-state equation (the adjacent aquifer is present):

drawdown in the main aquifer

drawdown in aquitard

Steady-state equation (no adjacent aquifer):

drawdown in the main aquifer

drawdown in aquitard

Roots of transcendental equation are calculated in solutions:

ANSQUICK > Drawdown during aquifer tests > Steady-state solutions >

Circular aquifer

ANSQUICK > Drawdown during aquifer tests > Steady-state solutions >

Circular aquifer