@article{fdi:010089680,
  title = {{R}esonances of fluid-filled cracks with complex geometry and application to {V}ery {L}ong {P}eriod ({VLP}) seismic signals at {M}ayotte submarine volcano},
  author = {{L}iang, {C}. and {P}eng, {J}. {J}. and {A}mpuero, {J}ean-{P}aul and {S}hauer, {N}. and {D}ai, {K}. {S}.},
  editor = {},
  language = {{ENG}},
  abstract = {{F}luid-filled cracks sustain a slow guided wave ({K}rauklis wave or crack wave) whose resonant frequencies are widely used for interpreting long period ({LP}) and very long period ({VLP}) seismic signals at active volcanoes. {S}ignificant efforts have been made to model this process using analytical developments along an infinite crack or numerical methods on simple crack geometries. {I}n this work, we develop an efficient hybrid numerical method for computing resonant frequencies of complex-shaped fluid-filled cracks and networks of cracks and apply it to explain the ratio of spectral peaks in the {VLP} signals from the {F}ani {M}aore submarine volcano that formed in {M}ayotte in 2018. {B}y coupling triangular boundary elements and the finite volume method, we successfully handle complex geometries and achieve computational efficiency by discretizing solely the crack surfaces. {T}he resonant frequencies are directly determined through eigenvalue analysis. {A}fter proper verification, we systematically analyze the resonant frequencies of rectangular and elliptical cracks, quantifying the effect of aspect ratio and crack stiffness. {W}e then discuss theoretically the contribution of fluid viscosity and seismic radiation to energy dissipation. {F}inally, we obtain a crack geometry that successfully explains the characteristic ratio between the first two modes of the {VLP} seismic signals from the {F}ani {M}aore submarine volcano in {M}ayotte. {O}ur work not only reveals rich eigenmodes in complex-shaped cracks but also contributes to illuminating the subsurface plumbing system of active volcanoes. {T}he developed model is readily applicable to crack wave resonances in other geological settings, such as glacier hydrology and hydrocarbon reservoirs. {J}ust as sound trapped in organ pipes, vibrating waves in fluid-filled cracks produce different tunes, called resonant frequencies, which are useful for inferring crack geometries and fluid properties as a larger and narrower crack produces a lower tune. {P}revious works have primarily studied simple crack geometries while cracks in the natural world normally have complex shapes. {I}n this study, we develop a new method to compute the resonant frequencies of fluid-filled cracks of complex geometry. {T}his method relies on solving equations only on the crack surface and thus very efficient. {W}e then study vibrations in rectangular and elliptical cracks and evaluate the effect of crack aspect ratio and stiffness. {R}ich vibrational patterns exist in a crack network, some isolated in a single segment and others involving the entire network. {W}e then discuss the effect of fluid friction and seismic waves on the energy loss of these vibrations. {F}inally, we show that the crack in {F}ani {M}aore submarine volcano in {M}ayotte that produced the seismic signal may be dumbbell-shaped. {O}verall, our method is applicable for simulating fluid-filled cracks in wide geological environments, such as active volcanos, glaciers, and oil reservoirs. {H}ybrid boundary element and finite volume method efficiently computes resonant frequencies of complex-shaped fluid-filled cracks {E}lliptical crack shares similar modes with rectangular crack but a crack network produces more complex resonances {A} dumbbell-shaped crack explains ratio of first two modes (similar to 2.5) in the very long period seismic signal at {M}ayotte submarine volcano},
  keywords = {fluid-filled crack ; very long period seismic signal ; {M}ayotte submarine ; volcano ; crack wave resonance ; crack network ; {MAYOTTE} ; {OCEAN} {INDIEN}},
  booktitle = {},
  journal = {{J}ournal of {G}eophysical {R}esearch : {S}olid {E}arth},
  volume = {129},
  numero = {3},
  pages = {e2023{JB}027844 [24 p.]},
  ISSN = {2169-9313},
  year = {2024},
  DOI = {10.1029/2023jb027844},
  URL = {https://www.documentation.ird.fr/hor/fdi:010089680},
}