Wave Propagation in Poroelastic Media Saturated by Two Fluids

Date

1997-6-1

Author

Tuncay, Kağan

Metadata

Show full item record

Item Usage Stats

162
views

0
downloads

A theory of wave propagation in isotropic poroelastic media saturated by two immiscible Newtonian fluids is presented. The macroscopic constitutive relations, and mass and momentum balance equations are obtained by volume averaging the microscale balance and constitutive equations and assuming small deformations. Momentum transfer terms are expressed in terms of intrinsic and relative permeabilities assuming the validity of Darcy’s law. The coefficients of macroscopic constitutive relations are expressed in terms of measurable quantities in a novel way. The theory demonstrates the existence of three compressional and one rotational wave. The third compressional wave is associated with the pressure difference between the fluid phase and dependent on the slope of the capillary pressure-saturation relation.

Subject Keywords

Porous-media, Compressional wave, Dynamic behavior, Mixture theory, 2-phase fluid, Attenuation, Equations

URI

https://hdl.handle.net/11511/28168

Journal

Journal of Applied Mechanics

DOI

https://doi.org/10.1115/1.2787309

Collections

Department of Civil Engineering, Article

Suggestions

OpenMETU
Core

Wave propagation in fractured porous media saturated by two immiscible fluids Corapcioglu, MY; Tuncay, Kağan (1998-01-01) A study of wave propagation in fractured porous media saturated by two immiscible fluids is presented, based on the double-porosity concept. The macroscopic constitutive relations and mass and momentum balance equations are obtained by volume averaging the microscale balance and constitutive equations, and assuming small deformations. Momentum transfer terms are expressed in terms of intrinsic and relative permeabilities assuming the validity of Darcy's law in fractured porous media. In the simplest case, t...
Absorption edge and optical constants of Tl2Ga2S3Se crystals from reflection and transmission, and ellipsometric measurements Isik, M.; Hasanlı, Nızamı (2012-06-15) The optical properties of Tl2Ga2S3Se layered crystalline semiconductors were investigated from transmission, reflection and ellipsometric measurements. The experimental results of the room temperature transmission and reflection measurements performed in the wavelength range of 400-1100 nm showed the presence of both indirect and direct transitions in the band structure of the crystals with 2.38 and 2.62 eV band gap energies.
NUMERICAL STABILITY OF RBF APPROXIMATION FOR UNSTEADY MHD FLOW EQUATIONS Gurbuz, Merve; Tezer, Münevver (2019-01-01) In this study, the radial basis function (RBF) approximation is applied for solving the unsteady fluid flow and magnetohydrodynamic (MHD) convection flow problems with the use of explicit Euler time discretization and relaxation parameters to accelerate the convergence. The stability analysis is also carried out in terms of the spectral radius of related RBF discretized coefficient matrices. The optimal choices of the time increment, relaxation parameters and physical problem parameters are found for achiev...
Wavelength dependence of the nonlinear absorption performance and optical limiting in Bi12TiO20 single crystal PEPE, YASEMİN; Isik, Mehmet; KARATAY, AHMET; Hasanlı, Nızamı; ELMALI, AYHAN (2023-01-01) In this study, the influence of excitation wavelength and input intensity on the nonlinear absorption (NA) mechanism and optical limiting behavior of the Bi12TiO20 (BTO) single crystal were reported. The energy band gap of the BTO single crystal was obtained to be 2.38 eV. Urbach energy revealed that the single crystal has a highly defective structure. Open aperture (OA) Z-scan experiments were conducted at 532 and 1064 nm excitation wavelengths at various input intensities. Obtained experimental data were ...
Numerical solutions of boundary value problems; applications in ferrohydrodynamics and magnetohydrodynamics Şenel, Pelin; Tezer, Münevver; Department of Mathematics (2017) In this thesis, steady, laminar, fully developed flows in pipes subjected to a point magnetic source or uniform magnetic field are simulated by the dual reciprocity boundary element method (DRBEM). The Navier-Stokes and energy equations are solved in terms of the velocity, pressure and the temperature of the fluid which are all of the original variables of the problem. The missing pressure equation is derived and pressure boundary conditions are generated by a finite difference approximation and the DRBEM c...

Citation Formats

K. Tuncay, “Wave Propagation in Poroelastic Media Saturated by Two Fluids,” Journal of Applied Mechanics, pp. 313–320, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28168.