scholarly journals Spherical Wave Propagation in a Poroelastic Medium with Infinite Permeability: Time Domain Solution

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Mehmet Ozyazicioglu
Keyword(s):  
Wave Propagation ◽  
Time Domain ◽  
Decay Constant ◽  
Spherical Wave ◽  
Propagation Characteristics ◽  
Poroelastic Medium ◽  
Classical Elasticity ◽  
Poroelastic Media ◽  
Letter Case ◽  
Classical Elasticity Theory

Exact time domain solutions for displacement and porepressure are derived for waves emanating from a pressurized spherical cavity, in an infinitely permeable poroelastic medium with a permeable boundary. Cases for blast and exponentially decaying step pulse loadings are considered; letter case, in the limit as decay constant goes to zero, also covers the step (uniform) pressure. Solutions clearly show the propagation of the second (slow)p-wave. Furthermore, Biot modulusQis shown to have a pronounced influence on wave propagation characteristics in poroelastic media. Results are compared with solutions in classical elasticity theory.

scholarly journals Sudden Pressurization of a Spherical Cavity in a Poroelastic Medium

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Mehmet Ozyazicioglu
Keyword(s):  
Frequency Domain ◽  
Momentum Balance ◽  
Governing Equations ◽  
Poroelastic Medium ◽  
Balance Equations ◽  
Classical Elasticity ◽  
Ode System ◽  
Type Boundary ◽  
System Time ◽  
Classical Elasticity Theory

Governing equations of poroelastodynamics in time and frequency domain are derived. The continuity equation complements the momentum balance equations. After reduction for spherical symmetry (geometry and loading), the governing equations in frequency domain are solved by introducing wave potentials. The wave propagation velocities are obtained as the real parts of the characteristic equation of the coupled ODE system. Time domain solution for Dirac type boundary pressure is obtained through numerical inversion of transformed solutions. The results are compared to the solution in classical elasticity theory found in the literature.

Numerical Modeling of Wave Propagation in Poroelastic Media with a Staggered-Grid Finite-Difference Method

2013 ◽  
Vol 275-277 ◽  
pp. 612-617
Author(s):  
Wen Sheng Zhang ◽  
Li Tong
Keyword(s):  
Numerical Modeling ◽  
Wave Propagation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Staggered Grid ◽  
Poroelastic Medium ◽  
Numerical Computations ◽  
Poroelastic Media ◽  
Biot’S Equations

In this paper, wave propagation in poroelastic medium is simulated with a staggered-grid finite-difference method. The formulation is discretized based on the second-order Biot’s equations rather than the corresponding velocity-stress form. In order to eliminate boundary reflections, the PML method is applied. Numerical computations are implemented and the results show the correctness and effectiveness of the schemes presented in this paper.

Wave Propagation Characteristics on a Pipe-Type Cable in Particular Reference to the Proximity Effect

2013 ◽  
Vol 133 (12) ◽  
pp. 954-960 ◽  
Author(s):  
Akihiro Ametani ◽  
Kazuki Kawamura ◽  
Asha Shendge ◽  
Naoto Nagaoka ◽  
Yoshihiro Baba
Keyword(s):  
Wave Propagation ◽  
Proximity Effect ◽  
Propagation Characteristics
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