TY - JOUR
T1 - A peridynamic model of flow in porous media
AU - Jabakhanji, Rami
AU - Mohtar, Rabi H.
N1 - Publisher Copyright:
© 2015 Elsevier Ltd.
PY - 2015/4/1
Y1 - 2015/4/1
N2 - This paper presents a nonlocal, derivative free model for transient flow in unsaturated, heterogeneous, and anisotropic soils. The formulation is based on the peridynamic model for solid mechanics. In the proposed model, flow and changes in moisture content are driven by pairwise interactions with other points across finite distances, and are expressed as functional integrals of the hydraulic potential field. Peridynamic expressions of the rate of change in moisture content, moisture flux, and flow power are derived, as are relationships between the peridynamic and the classic hydraulic conductivities; in addition, the model is validated. The absence of spacial derivatives makes the model a good candidate for flow simulations in fractured soils and lends itself to coupling with peridynamic mechanical models for simulating crack formation triggered by shrinkage and swelling, and assessing their potential impact on a wide range of processes, such as infiltration, contaminant transport, and slope stability.
AB - This paper presents a nonlocal, derivative free model for transient flow in unsaturated, heterogeneous, and anisotropic soils. The formulation is based on the peridynamic model for solid mechanics. In the proposed model, flow and changes in moisture content are driven by pairwise interactions with other points across finite distances, and are expressed as functional integrals of the hydraulic potential field. Peridynamic expressions of the rate of change in moisture content, moisture flux, and flow power are derived, as are relationships between the peridynamic and the classic hydraulic conductivities; in addition, the model is validated. The absence of spacial derivatives makes the model a good candidate for flow simulations in fractured soils and lends itself to coupling with peridynamic mechanical models for simulating crack formation triggered by shrinkage and swelling, and assessing their potential impact on a wide range of processes, such as infiltration, contaminant transport, and slope stability.
KW - Derivative-free model
KW - Flow
KW - Non-local model
KW - Peridynamics
KW - Soil cracking
KW - Unsaturated soil
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U2 - 10.1016/j.advwatres.2015.01.014
DO - 10.1016/j.advwatres.2015.01.014
M3 - Article
AN - SCOPUS:84923314956
SN - 0309-1708
VL - 78
SP - 22
EP - 35
JO - Advances in Water Resources
JF - Advances in Water Resources
ER -