A Semi-Analytical Solution for Shock Wave Pressure and Radius of Soil Plastic Zone Induced by Lightning Strikes

Abstract

A semi-analytical solution for forecasting the soil behavior induced by lightning strikes is of great engineering significance to calculate the radius of the soil plastic zone. In this paper, a simplified two-stage method is employed to solve the shock wave pressure and the radius of the soil plastic zone. The solution is verified against experimental data. Using the present model, the major factors dominating the shock wave pressure and the radius of the soil plastic zone are investigated. The results show that (1) the radius of the soil plastic zone (rp) induced by lightning decreases monotonically with cohesion (c) and internal friction angle (φ), while c has a better effect on soil properties than φ does; (2) increasing the initial radius of the plasma channel (ri0) can reduce the pressure (P) and increasing ri0 has a nonnegligible effect on rp; with ri0 increasing by 100%, the radius of the soil plastic zone increases by 47.9–59.7%; (3) the plasma channel length (L) has a significant influence on P and rp, especially when L is at a relatively low level; (4) the rp induced by lightning decreases exponentially with attenuation coefficient (a); (5) the wavefront time is a major factor while the half-value time is a minor factor for the shock wave pressure induced by plasma explosives.

Special Issue: Advancement of Functionalized Mineral Materials and Rock

“…The physical and mechanical behaviour, fracture, damage, and evolution processes of geomaterials under various environmental and mechanical conditions, such as thermal, mechanical, chemical, and electrical environments [6][7][8][9][10][11][12][13][14][15][16][17]20,21].…”

“…These topics focus on various themes, including the analysis of mineralogical composition and its effects on the physico-mechanical properties of geomaterials, the investigation of the impact of triaxial stress on the damage creep behaviour of geomaterials, and the evaluation of the thermophysical and mechanical characteristics of rocks under high-temperature circumstances [6][7][8][9][10][11][12][13][14]. The research conducted on these topics also involves various experimental and numerical techniques, such as digital image processing, Discrete Element Method (DEM), and analytical solution and simulation [13,[15][16][17][18]. Moreover, several research studies have explored the feasibility of utilising organic waste materials, including red mud, bauxite tailings, and zeolite, as prospective building materials or sorbents to eliminate petroleum substances from paved surfaces [8,14,19].…”

“…• Computational investigations of the behaviour of geomaterials under variable conditions [12,[15][16][17][18]22].…”

“…The study conducted by Wu et al [16] provides a semi-analytical approach to determine the shock wave pressure and radius of the plastic zone in soil resulting from lightning strikes. The proposed solution considers the soil as a homogeneous and isotropic medium and takes into account the effect of the lightning current waveform, soil properties, and the distance between the lightning channel and the ground surface.…”