EARTH 135 Study Guide - Final Guide: Bending, Boundary Value Problem, Bathymetry
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Figure 1: figure 1: seamount loading. xp is the distance to the bulge. Lecture 7 : plate flexure due to a seamount: buoyancy: the equation for plate exure by seamounts is slightly di erent from the one for bending plates. This di erence is due to the buoyancy force. + ( m w)gw = q(x) (1) where the second term on the lefthand side is the buoyancy term. M is density of mantle and w is density of sea water. We assume a uniform half-space for the solid earth, ignoring the crust: the vertical load by the seamount is treated as a point force at x = 0 and will be included in the boundary condition. + ( m w)gw = 0 (2: general solutions: for a more detailed derivation, see the later section in pages 3 and 4. Here we note that an equation of the form.