Solving geophysical flow problems in Luxembourg: SPH constitutive review

Figures & data

Figure 1. Infiltration and geofluid flow through saturated and unsaturated zones of a slope (Forrester, 1996; González de Vallejo & Ferrer, 2011; Nooralddin, 2021).

Figure 2. Effect of infiltration and soil particle arrangement in water table in a slope (Forrester, 1996; González de Vallejo & Ferrer, 2011; Nooralddin, 2021).

Figure 3. a) Water pressure triangle for a discontinuous single plane on a slope. b) Pressure triangles through tension cracks at the slope head (U and V are forces due to water on the sliding plane and on the tension crack, respectively; Forrester, 1996; González de Vallejo & Ferrer, 2011; Nooralddin, 2021)

Figure 4. Schematic arrangement of an SPH convolution; result function and the process of computation (Chen & Qiu, 2011; Mocz, 2011; Nonoyama et al., 2015).

Figure 5. Application of kernel function (Gaussian-like curves) in reconstructing a continuous function in SPH (Chen & Qiu, 2011; Mocz, 2011; Nonoyama et al., 2015).

Figure 6. Case study area-Luxembourg.

Figure 7. Geographical information of the case study area-Luxembourg.

Forrester, K. (1996). Subsurface Drainage for Slope Stabilization (1st ed.). ASCE Press.

 Google Scholar

González de Vallejo, L. I., & Ferrer, M. (2011). Geological Engineering (1st ed.). U.S. CRC Press is an imprint of Taylor & Francis Group.

 Google Scholar

Nooralddin, N. (2021). Circumstances of water table effect on slope stabilization. Poster, https://doi.org/10.13140/RG.2.2.18612.99208

 Google Scholar

Chen, W., & Qiu, T. (2011). Simulation of fluid flow through porous media using smoothed particle hydrodynamics method (pp. 4195–4203). Geotechnical Special Publication. https://doi.org/10.1061/41165(397)429

 Google Scholar

Mocz, P. (2011). smoothed particle hydrodynamics: theory, implementation, and application to toy stars. Monthly Notices of the Royal Astronomical Society, 10(1), 1–9.

 Google Scholar

Nonoyama, H., Moriguchi, S., Sawada, K., & Yashima, A. (2015). Slope stability analysis using smoothed particle hydrodynamics (SPH) method. Soils and Foundations, 55(2015), 458–470. https://doi.org/10.1016/j.sandf.2015.02.019

 Google Scholar

Data Availability Statement

The underlying data supporting the results of this study has been reported in the manuscript.