<p>If the pumping well is partially penetrating in the aquifer or the source above the aquifer (e.g., unconfined aquifer, leaky aquifer, under the stream), the vertical flow should be accounted. </p>

<p>The groundwater equation like Thies' solution is not considering the vertical flow. Incorporating the vertical flow would change the governing equation (P.D.E.) form including the vertical hydraulic conductivity. Lots of papers have shown the solution form for considering that. </p>

CC BY-SA 3.0
2017-07-27T11:57:27.267Z
2017-07-27T11:57:27.267Z
LingLong
<p>Near pumping wells or near/beneath a stream, the groundwater flow is not totally horizontal and the vertical component of groundwater movement at these points cannot be ignored in reality. Often, groundwater flow equations are derived while assuming that the flow in largely horizontal which is called Duipuit-Forscheimer assumption. </p>

<p>I want to know if we consider the vertical flow near pumping wells and streams, what form will the groundwater flow equations have?</p>

<hydrology><groundwater><hydrogeology><fluid-dynamics>
What forms do groundwater flow equations have when Dupuit supposition is not considered?
Ather Cheema
# What forms do groundwater flow equations have when Dupuit supposition is not considered?

(Asked by: username_0 on 2017-06-01)

Near pumping wells or near/beneath a stream, the groundwater flow is not totally horizontal and the vertical component of groundwater movement at these points cannot be ignored in reality. Often, groundwater flow equations are derived while assuming that the flow in largely horizontal which is called Duipuit-Forscheimer assumption.

I want to know if we consider the vertical flow near pumping wells and streams, what form will the groundwater flow equations have?

**Tags:** hydrology, groundwater, hydrogeology, fluid-dynamics


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## 1 answers

### Answer by username_1 on 2017-07-27. Score: 1

If the pumping well is partially penetrating in the aquifer or the source above the aquifer (e.g., unconfined aquifer, leaky aquifer, under the stream), the vertical flow should be accounted.

The groundwater equation like Thies' solution is not considering the vertical flow. Incorporating the vertical flow would change the governing equation (P.D.E.) form including the vertical hydraulic conductivity. Lots of papers have shown the solution form for considering that.


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