1. Wave Velocities and Poisson Ratio in a Loose Sandy Martian Regolith Simulant Under Low Stresses: 2. Theoretical Analysis.
- Author
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Caicedo, B., Castillo Betancourt, J. P., Delage, P., Lognonné, P., and Banerdt, B.
- Subjects
REGOLITH ,SEISMIC waves ,POISSON'S ratio ,SEISMIC wave velocity ,THEORY of wave motion ,AXIAL stresses ,ATOMIC force microscopes ,CONTACT mechanics - Abstract
This paper presents a theoretical analysis of the data on wave velocity measurements at small stresses presented in a companion paper describing the experimental results on a Martian regolith loose sandy simulant (Fontainebleau sand) of the soil at the InSight landing site on Mars (Elysium Planitia). Experimental data of wave velocities and Poisson's ratio are interpreted in the light of a granular contact mechanics theory and completed accounting for rugosity effects that are suspected to have stronger effects in sands under low stresses. The asperities of a grain of Fontainebleau sand were investigated through Atomic Force Microscopy, but larger asperities had to be adopted so as to better fit the model prediction with experimental data. A good agreement between the experimental data and the model predictions is obtained for stress above 10 kPa. Below 5 kPa, an area in which asperities are suspected to have a stronger influence, the model is not fully satisfactory, showing that further experimental and theoretical investigation is necessary in a stress zone particularly relevant to surface soils in planets, with probably enhanced effects of asperities on the intergrain contact mechanics. Plain Language Summary: To better understand seismic wave propagation at the surface of the InSight landing site on Mars, this paper presents a theoretical interpretation of the seismic wave velocities at low stress measured in a sand sample used as a Martian regolith simulant and presented in a companion paper. The theory is based on both a theoretical elastic model of a pack of smooth spheres of same diameter and approach accounting for the effects of local rugosity at the contact between sand grains (rugosity is supposed to have a stronger influence at the low stresses resulting from the smaller gravity on Mars). The sphere pack model shows that some slippage between grains is necessary to properly account for the radial deformation of a cylindrical sample subjected to an increase in axial stress (as described by an elastic parameter called the Poisson ratio). Accounting for rugosity effects allows a better prediction of the changes in wave velocity with respect to stress. The decrease in velocity under decreased stress is confirmed, but the rugosity parameter measured using an Atomic Force Microscope was under‐estimated, probably due to the over‐simplistic hypothesis of considering spheres. A proper prediction was obtained by fitting this parameter at a twice larger value. Key Points: A novel theory based on contact mechanics was proposed to calculate Vp and Vs of uniform granular materialsThe theory considers the roughness of the particles, the stress, the porosity of the granular assembly, and the properties of the grainsTheoretical results agree with experimental measurements on loose samples of Fontainebleau sand used as a Mars regolith simulant [ABSTRACT FROM AUTHOR]
- Published
- 2023
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