Lattice Model for Production of Gas

TL;DR

This paper introduces a lattice model to simulate gas flow to complex absorbing boundaries, enabling the inference of boundary geometry from gas absorption data over time.

Contribution

The paper develops a lattice-based model and analytical solution for gas flow to complex boundaries, advancing understanding of gas absorption processes.

Findings

Solution obtained using Green's function techniques.

Applied to three networks of increasing complexity.

Facilitates boundary geometry inference from absorption data.

Abstract

We define a lattice model for rock, absorbers, and gas that makes it possible to examine the flow of gas to a complicated absorbing boundary over long periods of time. The motivation is to deduce the geometry of the boundary from the time history of gas absorption. We find a solution to this model using Green's function techniques, and apply the solution to three absorbing networks of increasing complexity.