Imagine a sedimentary basin on some planetary body that is confined on all sides and filled to

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Imagine a sedimentary basin on some planetary body that is confined on all sides and filled to a depth of 1 km. The horizontal strains, εxx and εyy are both zero, and the vertical stress at any depth z in the basin is given by σzz = ρzg. Use the constitutive relations in Equation 8.4 to find expressions for the strain in the vertical direction (εzz) and the stresses in the horizontal directions (σxx and σyy). Compute these quantities at depths of 0.1, 0.5, and 1.0 km for a sedimentary basin on Earth, assuming ρ = 2100 kg/m3, E = 50 GPa, and ν = 0.2. Now compute the same quantities for an icy sedimentary basin on Titan, where g = 1.3 m/s2, ρ = 917 kg/m3, E= 10 GPa, and ν = 0.3. Compare the results for the two bodies.


 Equation 8.4 

Exx Eyy Ezz 1 XX E - V E V E V E 5 xx yy 1 Oxx + Oyy V yy V E - 0 zz V 2012 0 zz E 1 + 20 E zz

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Planetary Geoscience

ISBN: 9781107145382

1st Edition

Authors: Harry Y. McSween, Jr, Jeffrey E. Moersch, Devon M. Burr, William M. Dunne, Joshua P. Emery, Linda C. Kah, Molly C. McCanta

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