Numerical modelling of unsaturated-saturated flow under centrifugation with no outflow

TL;DR

This paper introduces a novel centrifuge setup for studying unsaturated flow in porous media, providing a precise numerical model and demonstrating its potential for soil parameter identification through inverse problem solving.

Contribution

It presents a new centrifuge configuration and an efficient numerical approximation for modeling unsaturated flow, enabling soil parameter estimation without needing saturated hydraulic conductivity.

Findings

The setup accurately models unsaturated flow with simple boundary conditions.

Numerical experiments show the method's effectiveness in parameter sensitivity analysis.

The approach allows inverse determination of soil parameters, excluding saturated hydraulic conductivity.

Abstract

A novel centrifuge set-up for the study of unsaturated flow characteristics in porous media is examined. In this set-up, simple boundary conditions can be used, but a free moving boundary between unsaturated-saturated flow arises. A precise and numerically efficient approximation is presented for the mathematical model based on Richards' nonlinear and degenerate equation expressed in terms of effective saturation using the Van Genuchten-Mualem ansatz for the soil parameters in the unsaturated zone. Sensitivity of the measurable quantities (rotational moment, center of gravity and time period to achieve quasi steady state) on the soil parameters is investigated in several numerical experiments. They show that the set-up is suitable for the determination of the soil parameters via the solution of an inverse problem in an iterative way, excluding the saturated hydraulic conductivity. For this parameter, an existing simple centrifuge set-up is repeated and augmented with transient measurements.