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Earth and Space Sciences · 术语表

什么是 Flexural parameter, forebulge?

又称: flexural parameter · forebulge

Definition 3.15 University Earth and Space Sciences — Year 3 · 第 3 章 — Gravity and the Figure of the Earth

The flexural parameter of a plate is the length

α=(4D(ρm−ρi)g)1/4,\alpha = \left(\frac{4D}{(\rho_m - \rho_i)g}\right)^{1/4},

which sets the horizontal scale of its flexure. The forebulge is the low arch of upward flexure that a bent plate raises beyond the moat or basin next to its load.

Flexure of an elastic plate (computed; E = 100\, GPa, = 0.25, mantle 3300\, kg\, m-3, water in the moat; vertical scale greatly exaggerated). (a) Under the load of a volcanic ridge (4.17 × 1012\, N\, m-1), a thin plate sinks deeply and narrowly, a thick one shallowly and widely; the forebulge moves out from 112\, km to 316\, km. (b) A plate broken at a trench and pushed down by 1\, km: the outer rise stands 67\, m high, 167\, km from the trench.
Flexure of an elastic plate (computed; E=100 GPaE = 100\,\mathrm{GPa}, ν=0.25\nu = 0.25, mantle 3300 kg m−33300\,\mathrm{kg}\,\mathrm{m}^{-3}, water in the moat; vertical scale greatly exaggerated). (a) Under the load of a volcanic ridge (4.17×1012 N m−14.17 \times 10^{12}\,\mathrm{N}\,\mathrm{m}^{-1}), a thin plate sinks deeply and narrowly, a thick one shallowly and widely; the forebulge moves out from 112 km112\,\mathrm{km} to 316 km316\,\mathrm{km}. (b) A plate broken at a trench and pushed down by 1 km1\,\mathrm{km}: the outer rise stands 67 m67\,\mathrm{m} high, 167 km167\,\mathrm{km} from the trench.
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