Dr. Sergey Lopatnikov

Principal Scientist for Mentis Sciences, Inc.

Lagrangian Approach to the Mechanics (Acoustics) of Penetrable Porous Materials

Dr. Sergey Lopatnikov
Principal Scientist for Mentis Sciences, Inc.

Monday, Oct. 1, 2018 | 6:00 p.m.

McArthur Engineering Addition, Jose Milton Leadership Hall, Room 202
1251 Memorial Drive
Coral Gables, FL 33146

Fluid filled porous materials are widely spread in nature and technology.  Rocks, marine sediments, bones and sponges represent only a small portion of substances, which can be named porous materials.  For many applications such as marine and geophysical or medical acoustics, clear understanding of the propagation of waves in such materials is of great interest. We present the basics of the theory based on the Lagrangian approach to the mechanics of penetrable porous materials. This theory is universal in sense that by construction it works for perturbation of arbitrary amplitude for isotropic, anisotropic, homogeneous or non-homogeneous materials. In frame of developed approach, the theory of propagation of acoustic (infinitely small-amplitude) waves naturally appears as approximation of the general theory in the small neighborhood of a stationary state of the material, which can itself be found in frame of static case of the theory. Also, we demonstrate critical importance of the waves of the second types for understanding of the propagation and attenuation of low frequency acoustic (seismic) waves in randomly non-homogeneous penetrable materials.  At last, we discuss new alternative classifications of small amplitude wave modes based on classic representation of dispersion equations of propagating waves.

Sergey Lopatnikov
, PhD, currently principal scientist for Mentis Sciences, Inc., formerly research scientist with the University of Delaware Center for Composite Materials and head of branch and the Laboratory of Mathematical modeling of the All Union Institute of Nuclear Geophysics and Geochemistry (Moscow, Russia).  Lopatnikov is a world renowned scientist in the area of wave propagation in porous media including geological media, ocean sediments, and in human biological systems.  He has published over seventy papers on the topic, has presented his work at more than 100 conferences, and has a patent focused on documenting the tsunami potential of underwater earthquakes.

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Principal Scientist for Mentis Sciences, Inc.

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