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Analytic element ground water modeling as a research program (1980 to 2006).

Stephen R Kraemer¹

¹U.S. Environmental Protection Agency, 960 College Station Road, Athens, GA 30605-2700, USA. kraemer.stephen@epa.gov

|June 30, 2007

Summary

The analytic element method (AEM) for groundwater flow is a progressive research program. Its development shows growth in publications, academic presence, and innovative computational solutions.

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Area of Science:

Hydrogeology
Philosophy of Science
History of Science

Background:

The analytic element method (AEM) is a specialized technique for regional groundwater flow modeling.
Compared to finite-element and finite-difference methods, AEM has a smaller community of developers and practitioners.
The study views the AEM community through the lens of the philosophy of science, specifically Imre Lakatos's research program framework.

Purpose of the Study:

To analyze the Analytic Element Method (AEM) as a scientific research program.
To evaluate the current status and progression of the AEM research program using Lakatos's methodology.
To identify key components of the AEM research program, including its hard core, protective belt, and heuristic.

Main Methods:

Application of Imre Lakatos's philosophy of science framework to analyze the AEM research program.
Examination of the AEM's theoretical basis (hard core), auxiliary assumptions (protective belt), and problem-solving strategies (heuristic).
Analysis of publication records, academic placements, and development of computational tools to assess research program progress.

Main Results:

The AEM research program is characterized by a distinct theoretical basis, auxiliary assumptions, and problem-solving heuristics.
Evidence suggests the AEM research program is in a progressive phase, not a degenerating one.
Growth is indicated by an expanding publication record and a dedicated research strand.

Conclusions:

The Analytic Element Method (AEM) represents a progressive research program in hydrogeology.
Continued academic placement of AEM researchers and development of innovative solutions support its progressive nature.
AEM demonstrates a robust and advancing research trajectory within the scientific community.