Length scales for continental deformation in convergent, divergent, and strike‐slip Environments: Analytical and approximate solutions for a thin viscous sheet model
Length scales for continental deformation in convergent, divergent, and strike‐slip Environments: Analytical and approximate solutions for a thin viscous sheet model
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DOI：
10.1029/jb090ib05p03551
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发表时间：
1985-04
影响因子：
--
通讯作者：
P. England;G. Houseman;L. J. Sonder
中科院分区：
文献类型：
--
作者：
P. England;G. Houseman;L. J. Sonder
研究了具有移动边界的薄粘性层的变形，以便与大陆岩石圈中的变形区域进行比较。牛顿流体情况下的精确解析解和幂律流变流体情况下的近似解表明： 当施加的速度矢量垂直于边界（国会或拉伸状态）时，变形场从边界处衰减，其特征长度尺度为施加边界速度分布波长的 1/3 至 1/10，n 介于 1 和 10 之间，其中 n 是流变学中的应力-应变指数；相反，当施加的速度矢量平行于边界（横流区域）时，变形场的长度尺度大约小 4 倍。在每种情况下，这些长度尺度大约减小为n−1/2。即使没有任何浮力作用于增厚或减薄的地壳上，长度尺度的差异也会出现。这些力会改变长度比例，但不足以影响这个结果。
The deformation of a thin viscous layer that has a moving boundary is investigated for comparison with zones of deformation in the continental lithosphere. Exact analytical solutions, for the case of a Newtonian fluid, and approximate solutions, for the case of fluid with power law rheology, show that: When the imposed velocity vector is normal to the boundary (congressional or extensional regime) the deformation field decays away from the boundary with a characteristic length scale 1/3 to 1/10 the wavelength of the imposed boundary velocity distribution for n between 1 and 10, where n is the stress-strain exponent in the rheology; in contrast, when the imposed velocity vector is parallel to the boundary (transcurrent regime), the length scale of the deformation field is approximately 4 times smaller. In each case these length scales decrease approximately as n−½. The difference in length scales arises even in the absence of any buoyancy forces acting on thickened or thinned crust; such forces would modify the ratio of length scales, but not sufficiently to affect this result.