Franklin H
Laboratoire Ondes et Milieux Complexes (LOMC) UMR CNRS 6294, 75 rue Bellot, Université Le Havre Normandie, Le Havre, France.
Ultrasonics. 2024 Feb;137:107197. doi: 10.1016/j.ultras.2023.107197. Epub 2023 Nov 7.
Effective quantities - wavenumber, bulk modulus and mass density - are sought for a random distribution of double porosity parallel circular cylinders saturated by the surrounded fluid. For this purpose, a Generalized Self Consistent Method (GSCM) is applied to Linton and Martin's formula for the wavenumber, which accounts for multiple scattering between cylinders. Since Linton and Martin's formula contains the Independent Scattering Approximation (ISA), the simplest case of GSCM applied to ISA is also examined. The analysis is restricted to low frequencies where the implicit equations derived from generalized self consistent schemes can be solved analytically. The study focuses especially on the dependence of the effective quantities with the P1, P2, P3 and S waves propagating in the double porosity domains of the heterogeneous medium. Influence of volume fraction of scatterers and of porosity is illustrated.
针对被周围流体饱和的双孔隙平行圆柱体的随机分布，寻求有效量——波数、体积模量和质量密度。为此，将广义自洽方法（GSCM）应用于林顿和马丁的波数公式，该公式考虑了圆柱体之间的多次散射。由于林顿和马丁的公式包含独立散射近似（ISA），因此也研究了应用于ISA的GSCM的最简单情况。分析限于低频，此时从广义自洽方案导出的隐式方程可以解析求解。该研究特别关注有效量与在非均匀介质的双孔隙域中传播的P1、P2、P3和S波的相关性。说明了散射体体积分数和孔隙率的影响。
