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On the new analytical solution for a well in Cartesian coordinates with MODFLOW comparisons.

¹URS Corporation, 100 South Wacker Drive, Chicago, IL 60606; 312-697-7262; fax: 312-939-4198. vedat.batu@urs.com.

|November 19, 2013

Summary

This study compares the Batu (2012) well hydraulics solution with MODFLOW for confined aquifers. The Batu solution accurately simulates drawdown for both vertical and horizontal wells in isotropic and anisotropic conditions.

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Area of Science:

Hydrogeology
Computational hydraulics

Background:

Confined aquifer analysis is crucial for groundwater resource management.
Accurate well hydraulics solutions are needed for simulating groundwater flow.

Purpose of the Study:

To compare the Batu (2012) generalized three-dimensional well hydraulics solution with MODFLOW.
To evaluate the Batu solution's accuracy for vertical and horizontal wells in confined aquifers.

Main Methods:

Governing equations and key features of the Batu (2012) solution are described.
Drawdown expressions and coordinate conversion methods are presented.
Comparisons are made using Batu (2012), Hantush (1964), and MODFLOW for various aquifer conditions.

Main Results:

The Batu (2012) solution shows good agreement with MODFLOW for vertical wells in both isotropic and anisotropic confined aquifers.
Comparisons for horizontal wells also demonstrate consistency between Batu (2012) and MODFLOW.

Conclusions:

The Batu (2012) generalized solution provides a reliable alternative for simulating well hydraulics in confined aquifers.
The solution is validated for diverse well types and aquifer properties.