Modern Engineering Mathematics by Siddiqi Abul Hasan; Al-Lawati Mohamed; Boulbrachene Messaoud
Author:Siddiqi, Abul Hasan; Al-Lawati, Mohamed; Boulbrachene, Messaoud
Language: eng
Format: epub
Publisher: CRC Press LLC
The associated boundary conditions are u or σxx = Eux, typically u = 0 for a clamped end and σxx = 0 for a free end.
Acoustic model for seismic waves
Seismic waves are used to infer properties of subsurface geological structures. The physical model is a heterogeneous elastic medium where sound is propagated by small elastic vibrations. The general mathematical model for deformations in an elastic medium is based on Newton’s second law,
(5.35)
and a constitutive law relating to u, often Hooke’s generalized law,
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