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Closed Analytic Elements with Flexible Geometry.

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A new analytic element simplifies modeling groundwater flow around complex, irregular boundaries like lakes. This efficient and accurate method improves hydrogeologic simulations for subsurface flow.

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Area of Science:

  • Hydrogeology
  • Computational Fluid Dynamics
  • Environmental Engineering

Background:

  • Groundwater flow models are essential for understanding subsurface water movement.
  • Modeling irregularly shaped hydrogeologic features presents significant computational challenges.
  • Existing methods for irregular boundaries in analytic element models can be complex and difficult to implement.

Purpose of the Study:

  • To present a simple and fast treatment for hydrogeologic features with irregularly shaped boundaries in 2D analytic element groundwater flow models.
  • To introduce a new analytic element applicable to various boundary and continuity conditions.
  • To demonstrate the efficiency and accuracy of the new method for irregular shapes.

Main Methods:

  • Developed a new analytic element based on star domain shapes restricted to closed, smooth, single-valued functions from a focus point.
  • Applied the element to model irregularly shaped lakes and heterogeneities in hydraulic conductivity.
  • Utilized simple, illustrative test cases to validate the method's performance.

Main Results:

  • The new analytic element effectively treats hydrogeologic features with irregularly shaped boundaries.
  • Demonstrated efficiency, accuracy, and simplicity in implementation compared to existing solutions.
  • Successfully modeled various boundary and continuity conditions for irregular shapes.

Conclusions:

  • The presented analytic element offers a significant improvement for modeling groundwater flow with complex geometries.
  • This method simplifies the treatment of irregular boundaries, enhancing the practicality of analytic element models.
  • The findings contribute to more accurate and accessible hydrogeologic simulations.