TY - JOUR

T1 - Intermediate States between Statics and Dynamics and Seismic Emission in Granular Media

AU - Sibiryakov, B. P.

AU - Sibiryakov, E. B.

AU - Karsten, V. V.

N1 - This work was supported by the Program of Fundamental Scientific Investigations (FWZZ-2022-0017) and PETROBRAS/CENPES Foundation (Brazil) within the GEOMEC project.

PY - 2024/8/23

Y1 - 2024/8/23

N2 - Seismic emission is the spontaneous emission of waves in a porous or fractured medium. There is still no explanation for the dependence of these phenomena on the medium parameters and pore structure, as well as for the transition from slow to fast movements. The paper proposes a description of the transition process from statics to dynamics using a model of a structured continuum. The most important parameters of the model are the specific surface area and porosity of the medium. The reason for the emission is that the forces caused by internal stresses are only on average equal to zero over a representative volume, being different at each point of the medium. It is shown that the model of a structured continuum predicts the emission of waves under static load and gives an estimate of the vibration periods. In this case, the characteristic vibration periods depend neither on the characteristic time of destruction of particles, nor on the loading time.

AB - Seismic emission is the spontaneous emission of waves in a porous or fractured medium. There is still no explanation for the dependence of these phenomena on the medium parameters and pore structure, as well as for the transition from slow to fast movements. The paper proposes a description of the transition process from statics to dynamics using a model of a structured continuum. The most important parameters of the model are the specific surface area and porosity of the medium. The reason for the emission is that the forces caused by internal stresses are only on average equal to zero over a representative volume, being different at each point of the medium. It is shown that the model of a structured continuum predicts the emission of waves under static load and gives an estimate of the vibration periods. In this case, the characteristic vibration periods depend neither on the characteristic time of destruction of particles, nor on the loading time.

KW - microheterogeneous media

KW - pore structure

KW - specific surface

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85201832079&origin=inward&txGid=2306e5cca4d6a540b1548028c0e09f68

UR - https://www.mendeley.com/catalogue/256731cf-fb1d-3fb1-a6ef-a4bf5e9825d4/

U2 - 10.1134/S1029959924040052

DO - 10.1134/S1029959924040052

M3 - Article

VL - 27

SP - 409

EP - 416

JO - Physical Mesomechanics

JF - Physical Mesomechanics

SN - 1029-9599

IS - 4

ER -