Brief Analysis of Vorticity in Soil Hydrodynamics

TL;DR

This paper examines the behavior of vorticity in groundwater flow, deriving an evolution equation that shows vorticity diminishes quickly and has minimal impact on hydraulic head direction near a point.

Contribution

It provides a new derivation of the vorticity evolution equation in soil hydrodynamics and analyzes its rapid decay and limited influence on hydraulic head variation.

Findings

Vorticity decreases rapidly in groundwater flow.

Vorticity has minimal effect on hydraulic head direction.

Derived the evolution equation for vorticity in soil hydrodynamics.

Abstract

This note discusses basic properties of vorticity in groundwater flow theory. An evolution equation for the vorticity vector is derived to demonstrate that, when present, vorticity decreases very rapidly. In addition, it is shown how vorticity affects, though very little, the hydraulic head directional variation in the vicinity of a point.