This paper presents an analytical study ofcoupled vibration of two coaxial tubes separated by an imcompressible viscous fluid. Tube vibrations are in beam modes and fluid motion is assumed to take place in a plane perpendicular to the axis of the tubes. First, the fluid forces acting on the tubes as
Digital rock physics: Effect of fluid viscosity on effective elastic properties
โ Scribed by Erik H. Saenger; Frieder Enzmann; Youngseuk Keehm; Holger Steeb
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 1007 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0926-9851
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โฆ Synopsis
This paper is concerned with the effect of pore fluid viscosity on effective elastic properties using digitized rocks. We determine a significant velocity dispersion in wave propagation simulations by the variation of the pore fluid viscosity. Several attenuation regimes are considered which may contribute to this observation. Starting point is a virtual rock physics approach. Numerical simulations of effective transport and effective mechanical properties are applied to statistically representative rock samples. The rock microstructure is imaged by 3D X-ray tomography. Permeability values were estimated through Lattice-Boltzmann flow simulations. The dry rock moduli and the tortuosity are derived by dynamic wave propagation simulations. We apply a displacement-stress rotated staggered finite-difference grid technique to solve the elastodynamic wave equation. An accurate approximation of a Newtonian fluid is implemented in this technique by using a generalized Maxwell body. We give a practical description of how to use this approach and discuss the application limits. Additionally, we show the simulated signature of a theoretically predicted slow S-wave.
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