Effect of pore connectivity on reflection amplitudes of an inhomogeneous wave in a composite porous solid saturated by two immiscible fluids

Journal of earth system science

Neeru Bala^1,2¹  Ashish Arora^3³ 

[1] Department of Mathematics, DAV Institute of Engineering and Technology, Jalandhar 144 008, India.^1;Department of Mathematics, IKG Punjab Technical University, Kapurthala 144 603, India.^3;IKG Punjab Technical University, Kapurthala 144 603, Punjab, India.^2

关键词: Composite porous medium;    reflection;    transmission;    inhomogeneous wave;    pore connectivity;    energy flux;   

DOI  :  

学科分类：天文学(综合)

来源: Indian Academy of Sciences

【 摘 要 】

Present paper aims to study the phenomenon of reflection and transmission when an inhomogeneous wave strikes some discontinuity in a composite porous medium saturated by two immiscible viscous fluids. The incident wave splits into six reflected and six transmitted waves at the interface. All reflected and transmitted waves are inhomogeneous in nature with different directions of propagation vector and attenuation vector. A dimensionless parameter ς ∈ [0, 1] is introduced to represent the extent of connection among the pores at the interface. Expression of Umov–Poynting vector is derived to obtain energy flux vector. Continuity of energy flux vector at the interface gives the required boundary conditions for thesystem. Connecting parameter ς is also employed in boundary conditions to model the partial connection of pores at the interstices of two media. For numerical discussion we consider a porous medium composed of sandstone and ice, saturated with oil and water. The effect of parameter ς and angle of incidence is determined numerically on the amplitude and the energy ratios of reflected and transmitted waves.

【 授权许可】

CC BY