A Meshfree Generalized Finite Difference Method for Solution Mining Processes

Experimental and field investigations for solution mining processes have improved intensely in recent years. Due to today's computing capacities, three-dimensional simulations of potential salt solution caverns can further enhance the understanding of these processes. They serve as a "virt...

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Veröffentlicht in:arXiv.org 2020-08
Hauptverfasser: Michel, Isabel, Seifarth, Tobias, Kuhnert, Joerg, Suchde, Pratik
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Suchde, Pratik
description Experimental and field investigations for solution mining processes have improved intensely in recent years. Due to today's computing capacities, three-dimensional simulations of potential salt solution caverns can further enhance the understanding of these processes. They serve as a "virtual prototype" of a projected site and support planning in reasonable time. In this contribution, we present a meshfree Generalized Finite Difference Method (GFDM) based on a cloud of numerical points that is able to simulate solution mining processes on microscopic as well as macroscopic scales, which differ significantly in both the spatial and temporal scale. Focusing on anticipated industrial requirements, Lagrangian and Eulerian formulations including an Arbitrary Lagrangian-Eulerian (ALE) approach are considered.
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subjects Caverns
Computer Science - Numerical Analysis
Computer simulation
Field investigations
Finite difference method
In situ leaching
Mathematical analysis
Mathematics - Numerical Analysis
Meshless methods
Mining
Physics - Fluid Dynamics
Saline solutions
Virtual prototyping
title A Meshfree Generalized Finite Difference Method for Solution Mining Processes
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