Frequency‐Dependent P Wave Anisotropy Due to Wave‐Induced Fluid Flow and Elastic Scattering in a Fluid‐Saturated Porous Medium With Aligned Fractures

2020 ◽  
Vol 125 (8) ◽  
Author(s):  
Junxin Guo ◽  
Boris Gurevich
Keyword(s):  
Porous Medium ◽  
Fluid Flow ◽  
Elastic Scattering ◽  
Saturated Porous Medium ◽  
P Wave ◽  
Frequency Dependent ◽  
Fluid Saturated Porous Medium ◽  
Wave Induced

Analysis of the Laminar Newtonian Fluid Flow Through a Thin Fracture Modelled as a Fluid-Saturated Sparsely Packed Porous Medium

2017 ◽  
Vol 72 (3) ◽  
pp. 253-259 ◽  
Author(s):  
Igor Pažanin ◽  
Pradeep G. Siddheshwar
Keyword(s):  
Porous Medium ◽  
Fluid Flow ◽  
Order Approximation ◽  
Saturated Porous Medium ◽  
Darcy Law ◽  
Brinkman Model ◽  
Order Of Accuracy ◽  
Flow Through ◽  
Fluid Saturated Porous Medium ◽  
Flow Inertia

AbstractIn this article we investigate the fluid flow through a thin fracture modelled as a fluid-saturated porous medium. We assume that the fracture has constrictions and that the flow is governed by the prescribed pressure drop between the edges of the fracture. The problem is described by the Darcy-Lapwood-Brinkman model acknowledging the Brinkman extension of the Darcy law as well as the flow inertia. Using asymptotic analysis with respect to the thickness of the fracture, we derive the explicit higher-order approximation for the velocity distribution. We make an error analysis to comment on the order of accuracy of the method used and also to provide rigorous justification for the model.

Fast Compressional Wave Scattering from Cylinder in Porous Media

2012 ◽  
Vol 170-173 ◽  
pp. 537-540
Author(s):  
Xu Jing Lu ◽  
Yang Jun Han ◽  
Zhi Wen Cui ◽  
Chun Xia Wang ◽  
Ke Xie Wang ◽  
...  
Keyword(s):  
Porous Medium ◽  
Saturated Porous Medium ◽  
Incident Angle ◽  
Fluid Pressure ◽  
Compressional Wave ◽  
P Wave ◽  
Steel Cylinder ◽  
Isotropic Cylinder ◽  
Form Function ◽  
Fluid Saturated Porous Medium

A mathematical model is presented to describe the scattering of a fast compressional plane wave (fast P-wave) incident at an arbitrary angle on isotropic cylinder embedded in a fluid-saturated porous medium. The expressions of components of solid and filtration displacement, pore fluid pressure and stress tensor in porous medium are obtained by potential function using the Biot’s theory and that of isotropic cylinder are also given. We investigate the properties of the form function of a backscatted fast P-wave for cement and steel cylinder system. It shows the influence of incident angle on form function for steel is more obvious than that for cement cylinder and form function curves are very different between steel and cement cylinder.

Impedance loading an acoustic source in a borehole located in a fluid‐saturated porous medium

2021 ◽  
Author(s):  
Irina Markova ◽  
Mikhail Markov ◽  
Jetzabeth Ramírez Sabag ◽  
Gerardo Ronquillo Jarillo
Keyword(s):  
Porous Medium ◽  
Saturated Porous Medium ◽  
Acoustic Source ◽  
Fluid Saturated Porous Medium
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