(De)compaction of porous viscoelastoplastic media: Solitary porosity waves

(De)compaction of porous viscoelastoplastic media: Solitary porosity waves
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多孔粘弹塑性介质的(解)压实:孤立孔隙度波

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发表时间:
2015
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通讯作者:
J. Connolly
J. Connolly
中科院分区:
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作者:
V. Yarushina;Y. Podladchikov;J. Connolly

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变形多孔介质中浮力驱动的流动对于理解沉积压实以及岩浆和变质分异过程非常重要。在这里,粘塑性压实方程的数学分析是用来开发的孔隙度波的不稳定性和它的敏感性的流变模型的选择的理解。孔隙度波的传播条件、大小、速度和形状强烈地依赖于固体岩石框架的性质。虽然大多数以前的研究孔隙波都集中在粘性或粘弹性模式,在这里,我们考虑的能力,一个固体基质同时进行塑性(率无关)和粘性(率相关)并行变形。塑性屈服被认为是多孔介质中压实-减压不对称的原因-已知这会导致多孔流的强烈聚焦。孔隙度波的速度和振幅作为材料参数和源区体积的函数给出。公式适用于流体流动的沉积岩中的粘性变形是由于压力解决方案,以及在地壳深部或上地幔岩石变形的半脆性制度。
Buoyancy‐driven flow in deformable porous media is important for understanding sedimentary compaction as well as magmatic and metamorphic differentiation processes. Here mathematical analysis of the viscoplastic compaction equations is used to develop an understanding of the porosity wave instability and its sensitivity to the choice of rheological model. The conditions of propagation, size, speed, and shape of the porosity waves depend strongly on the properties of the solid rock frame. Whereas most of the previous studies on porosity waves were focused on viscous or viscoelastic mode, here we consider the ability of a solid matrix to undergo simultaneous plastic (rate‐independent) and viscous (rate‐dependent) deformation in parallel. Plastic yielding is identified as a cause of compaction‐decompaction asymmetry in porous media—this is known to lead to a strong focusing of porous flow. Speed and amplitude of a porosity wave are given as functions of material parameters and a volume of a source region. Formulation is applicable to fluid flow in sedimentary rocks where viscous deformation is due to pressure solution as well as in deep crustal or upper mantle rocks deforming in a semibrittle regime.