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논문 기본 정보

자료유형
학술대회자료
저자정보
저널정보
한국산업응용수학회 한국산업응용수학회 학술대회 논문집 한국산업응용수학회 2005년 춘계학술대회
발행연도
2005.5
수록면
93 - 95 (3page)

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Wave propagation in composite porous materials has applications in many branches of science and technology, such as seismic methods in the presence of shaley sandstones [1], frozen or partially frozen sandstones [12,3,4], gas-hydrates in ocean-bottom sediments [5] and evaluation of the freezing conditions of foods by ultrasonic techniques [10].
A theory to describe wave propagation in frozen porous media was first presented by Leclaire et al. [8]. This model, valid for uniform porosity, predicts the existence of three compressional and two shear waves; the verification that additional (slow) waves can be observed in laboratory experiments was published by Leclaire et al. [9]. Later, Carcione and Tinivella [5] generalized this theory to include the interaction between the solid and ice particles and grain cementation with decreasing temperature. Also, Carcione et al. [1] applied this theory to study the acoustic properties of shaley sandstones, assuming that sand and clay are non-welded and form a continuous and inter-penetrating porous composite skeleton. Both frozen porous media and shaley sandstones are two examples of porous materials where the two solid phases are weakly-coupled or non-welded, i.e, both solids form a continuous and interacting composite structure, interchanging mechanical energy. Similar weakly-coupled formulations have previously been proposed. For instance, McCoy [11] has proposed a mixture theory appropriate for the combination of two acoustic phases.
This work presents a differential and numerical model to describe wave propagation in a heterogeneous poroviscolastic frame consisting of two weakly-coupled solid phases saturated by a single phase fluid. The equations of motion, stated in the space-frequency domain, generalizes that presented in [15] and [2] by the inclusion of solid ma ... 전체 초록 보기

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