An alternative Boussinesq equation considering the effect of hysteresis on coastal groundwater waves

• DOI: 10.1002/hyp.10810
• Publication Date: 2016-02-02T08:38:59Z
• Authors: Jun Kong; Zhaoyang Luo; Chengji Shen; Guofen Hua; Hongjun Zhao
• Keywords: Hysteresis

Abstract This paper presents an alternative Boussinesq equation considering hysteresis effect via a third‐order derivative term. By introducing improved moisture–pressure retention function, this describes, with reasonable precision, groundwater propagation in coastal aquifers subject to Dirichlet boundary condition of different oscillation frequencies. Test results confirmed that it is necessary consider horizontal and vertical flows unsaturated zone, because their variable influences on hysteresis. Hysteresis zone can affect the water table wave number motion, such as damping rate phase lag. Oscillations periods exert propagation. Truncation/shrinkage zones also affects strength These impacts be reflected by adjusting parameter representing variation moisture associated pressure change, opposed traditional computationally expensive algorithms. The present simple use provide feasible basis for future coupling surface models. Copyright © 2016 John Wiley & Sons, Ltd.