# What is the Dupuit equation?

What is the Dupuit equation? The Dupuit-Thiem equation is normally used to assess flow towards a pumping well in unconfined aquifers under steady-state conditions. For the formulation of the equation it is assumed that flow

## What is the Dupuit equation?

The Dupuit-Thiem equation is normally used to assess flow towards a pumping well in unconfined aquifers under steady-state conditions. For the formulation of the equation it is assumed that flow is laminar, radial and horizontal towards the well.

## What is Dupuit Thiem theory?

The Dupuit–Forchheimer assumption holds that groundwater flows horizontally in an unconfined aquifer and that the groundwater discharge is proportional to the saturated aquifer thickness.

## What is theis method?

The Theis (1935) solution is useful for determining the transmissivity of nonleaky confined aquifers from recovery tests. Analysis involves matching a straight line to residual drawdown data collected after the termination of a pumping test.

## What does Darcy’s Law measure?

Darcy’s law is an equation that describes the flow of a fluid through a porous medium. The law was formulated by Henry Darcy based on results of experiments on the flow of water through beds of sand, forming the basis of hydrogeology, a branch of earth sciences.

## How do you measure your well performance?

There are several quantitative measures of well performance, the most common being discharge (Q), the volume of water produced per unit time. There are several quantitative measures of well performance, the most common being discharge (Q), the volume of water produced per unit time.

## What are the three recovery analysis methods?

Three methods available for estimating aquifer properties from recovery test data include the following:

• residual drawdown analysis (s’ versus log t/t’)
• Agarwal method (recovery versus Agarwal equivalent time)
• combined analysis of drawdown and recovery data (s versus t)

## What is U in theis equation?

Numerical Approximation. W(u) is the exponential integral and is tabulated in many places (Abramowitz and Stegun, 1968). For specific values of u, table interpolation may be used to obtain the drawdown.

## What is steady state groundwater flow?

Under steady-state flow conditions, the groundwater level (piezometric level in the confined aquifer or water table in the unconfined aquifer) remains constant with time. Steady groundwater flow occurs in an aquifer system when the rate of groundwater recharge is equal to the rate of groundwater discharge.

## What is the Dupuit equation for ground water?

Ground Water Hydrology Introduction – 2005 Derivation of the Dupuit Equation – Unconfined Flow

## What are the assumptions in the dupit formula?

However, Dupit in an attempt to simplify analysis of un-directional flow, made the following assumptions: 1. The velocity of flow is proportional to the tangent of the hydraulic gradient rather than the sine as determined by Darcy; and 2. The flow is horizontal and uniform everywhere in a vertical section.

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## Which is the formula of dupit for radical flow?

Dupit derived the following equation: Q = K (h 22 – h 12)/2L