Efficient approach to solving transient unsaturated flow problems. I: Analytical solutions

ALB Cavalcante, JG Zornberg - International Journal of …, 2017 - ascelibrary.org
Richard's equation governs the migration of moisture in the soil under unsaturated
conditions. Although this differential equation provides a rigorous approach to simulating …

A HAM-based wavelet approach for nonlinear ordinary differential equations

Z Yang, S Liao - Communications in Nonlinear Science and Numerical …, 2017 - Elsevier
Based on the homotopy analysis method (HAM) and the generalized Coiflet-type orthogonal
wavelet, a new analytic approximation approach for solving nonlinear boundary value …

Modeling infiltration rates in a saturated/unsaturated soil under the free draining condition

MA Herrada, A Gutiérrez-Martin, JM Montanero - Journal of Hydrology, 2014 - Elsevier
We propose a model to simulate infiltration into heterogeneous soils, with arbitrary initial
water content distributions, subject to unsteady rainfall, and under the free draining …

Modelling water content redistribution during evaporation from sandy soil in the presence of water table

J Teng, N Yasufuku, S Zhang, Y He - Computers and Geotechnics, 2016 - Elsevier
An analytical model based on Richards equation is presented to describe water content
redistribution during evaporation. Exponential functions are utilized to describe the relation …

Improved remediation processes through cost-effective estimation of soil properties from surface measurements

M Vocciante, AP Reverberi, L Pietrelli… - Journal of Cleaner …, 2017 - Elsevier
A wide range of technologies is presently available for the remediation of contaminated
soils. The optimal selection depends on a number of soil characteristics. However, if the …

Analytic Solutions of Von Kármán Plate under Arbitrary Uniform Pressure—Equations in Differential Form

XX Zhong, SJ Liao - Studies in Applied Mathematics, 2017 - Wiley Online Library
The large deflection of a circular thin plate under uniform external pressure is a classic
problem in solid mechanics, dated back to Von Kármán [1]. This problem is reconsidered in …

[HTML][HTML] Application of a simplified Green-Ampt model to the Maga earthfill dam under rainfall conditions: A sensitivity analysis case of an infiltration model

O Wounabaïsa, LLM Ngueyep, VS Hinfene, A Meying - Heliyon, 2024 - cell.com
The present paper applies a simplified Green-Ampt (GA) infiltration model for the numerical
modelling of seepage processes within the body of the Maga earth dam, located in the Far …

Moving Multi-Front (MMF): A generalized Green-Ampt approach for vertical unsaturated flows

K Alastal, R Ababou - Journal of Hydrology, 2019 - Elsevier
Abstract A Moving Multi-Front (MMF) method is developed and tested for solving the
Richards equation governing unsaturated flow in vertical homogeneous porous columns …

[HTML][HTML] Approximate solution of the inverse Richards' problem

M Vocciante, AP Reverberi, VG Dovì - Applied Mathematical Modelling, 2016 - Elsevier
We propose a method for the estimation of time dependent distributions of pressure head,
water content, and fluid flow in homogeneous unsaturated soils with unknown lower …

Explicit solution to large deformation of cantilever beam by improved homotopy analysis method II: Vertical and horizontal displacements

Y Li, X Li, C **e, S Huo - Applied Sciences, 2022 - mdpi.com
Explicit solutions to vertical and horizontal displacements are derived for large deformation
of a cantilever beam under point load at the free end by an improved homotopy analysis …