A Simple Analytical Model of Evaporation in the Presence of Roots

TL;DR

This paper presents a simple analytical model for predicting water loss due to evaporation and transpiration in a porous medium with roots, validated by experiments with real root systems in a controlled setup.

Contribution

The paper introduces a novel analytical model that accurately predicts evaporation front dynamics and water loss in root-influenced porous media, supported by experimental validation.

Findings

Model accurately predicts evaporating front position

Model estimates total water loss due to evapotranspiration

Prolonged root exposure extends root activity duration

Abstract

Root systems can influence the dynamics of evapotranspiration of water out of a porous medium. The coupling of evapotranspiration remains a key aspect affecting overall root behavior. Predicting the evapotranspiration curve in the presence of roots helps keep track of the amount of water that remains in the porous medium. Using a controlled visual set-up of a 2D model soil system consisting of monodisperse glass beads, we first perform experiments on actual roots grown in partially saturated systems under different relative humidity conditions. We record parameters such as the total mass loss in the medium and the resulting position of the receding fronts and use these experimental results to develop a simple analytical model that predicts the position of the evaporating front as a function of time as well as the total amount of water that is lost from the medium due to the combined effects of evaporation and transpiration. The model is based on fundamental principles of evaporation flux and includes empirical assumptions on the quantity of stoma in the leaves and the transition time between regime 1 and regime 2. The model also underscores the importance of a much prolonged root life as long as the root is exposed to a partially saturated zone composed of a mixture of air and water. Comparison between the model and experimental results shows good prediction of the position of the evaporating front as well as the total mass loss from evapotranspiration in the presence of real root systems. These results provide additional understanding of both complex evaporation phenomenon and its influence on root mechanisms.