کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897750 1044574 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Phase transition in saturated porous media: Pore-fluid segregation in consolidation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Phase transition in saturated porous media: Pore-fluid segregation in consolidation
چکیده انگلیسی

Consider the consolidation process typical of soils; this phenomenon is expected not to exhibit a unique state of equilibrium, depending on external loading   and constitutive parameters. Beyond the standard solution also, pore-fluid segregation can arise. Pore-fluid segregation has been recognized as a phenomenon typical of the short time behavior of a saturated porous slab or a saturated porous sphere, during consolidation. In both circumstances, the Biot three-dimensional model provides time increasing values of the water pressure (and fluid mass density) at the center of the slab (or of the sphere), at early times, if the Lamé constant μμ of the skeleton is different from zero. This localized pore-fluid segregation is known in the literature as the Mandel–Cryer effect. In this paper, a nonlinear poromechanical model is formulated. The model is able to describe the occurrence of two states of equilibrium and the switching from one to the other by considering a kind of phase transition. Extending the classical Biot theory, a more than quadratic strain energy potential is postulated, depending on the strain of the porous material and the variation of the fluid mass density (measured with respect to the skeleton reference volume). When the consolidating pressure is strong enough, the existence of two distinct minima is proven.


► In this paper, we consider the problem of pore-fluid segregation in porous media.
► We generalize the linear Biot theory.
► We use a Landau–Ginzburg-like approach.
► We prove the existence of phase transition and study its characteristics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 240, Issue 17, 15 August 2011, Pages 1345–1351
نویسندگان
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