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arxiv: 1008.2869 · v1 · pith:7QDA227Tnew · submitted 2010-08-17 · 🧮 math-ph · math.MP

A micro-structured continuum modelling compacting fluid-saturated grounds: the effects of pore-size scale parameter

classification 🧮 math-ph math.MP
keywords parametergroundsmicro-structurepore-sizeallowsasymptoticcertaincompacting
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The effect of a "pore-size" length-scale parameter l on compaction of grounds with fluid inclusions is studied. They are modelled as continua endowed with micro-structure by means of the macro-modelling procedure proposed in [2]. We show the dependence of field evolution equations on the micro-structure parameter l and compare our model with the homogenized asymptotic ones. The consideration of the pore size 1 allows us to forecast the onset of micro-displacement waves as a consequence of a ground settling and to suggest a possible description of the genesis of certain microearthquakes [5] [6].

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