Nonlinear Viscoelastic Compaction in Sedimentary Basins

Nonlinear Viscoelastic Compaction in Sedimentary Basins
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沉积盆地的非线性粘弹性压实

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发表时间:
2000
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通讯作者:
Xin
Xin
中科院分区:
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文献类型:
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作者:
Xin

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在沉积物压实和多孔介质流动的数学模拟中,沉积物的流变特性通常用有效压力p_e与孔隙度p_e之间的非线性关系来模拟,即p_e=p_e(p_i)。压实规律实质上是孔隙弹性规律。然而,由于压力溶液的粘性压实在更大的深度变得重要,并导致这种关系变得更类似于粘性流变学。本文建立了一个广义的麦克斯韦型粘弹性压实模型,并对不同类型的非线性行为进行了渐近分析和比较。
In the mathematical modelling of sediment compaction and porous media flow, the rheological behaviour of sediments is typically modelled in terms of a nonlinear relationship between effective pressure $p_e$ and porosity $phi$, that is $p_e=p_e(phi)$. The compaction law is essentially a poroelastic one. However, viscous compaction due to pressure solution becomes important at larger depths and causes this relationship to become more akin to a viscous rheology. A generalised viscoelastic compaction model of Maxwell type is formulated, and different styles of nonlinear behaviour are asymptotically analysed and compared in this paper.