@article{fdi:010087477,
  title = {{M}odeling the shape and velocity of magmatic intrusions, a new numerical approach},
  author = {{F}urst, {S}. and {M}accaferri, {F}. and {P}inel, {V}irginie},
  editor = {},
  language = {{ENG}},
  abstract = {{D}ykes are magma-filled fractures propagating through the brittle crust. {U}nderstanding the physics of dyking process is essential to mitigate the volcanic hazard associated with the opening of new eruptive fissures at the surface. {O}ften, physics-based models view either fracturing of the host rock or viscous flow of the magma as the dominating energy sink during dyke propagation. {H}ere, we provide a numerical model that captures the coupling of fracturing at the crack tip and the transport of a viscous fluid. {B}uilt with the boundary element technique, our model allows for computation of the shape and velocity of a growing fluid-filled crack accounting for the viscosity of the fluid: the fluid flow induces a viscous pressure drop acting at the crack walls, and modifies the shape of the crack. {T}he energy conservation equation provides the constraints to solve for the crack growth velocity, assuming that brittle fracturing and viscous flow are the main processes that dissipate energy. {U}sing a parameter range that represents typical magmatic intrusions, we obtain crack shapes displaying some typical characteristics, including a tear-drop head and an open tail that depend on rock rigidity, magma viscosity, and buoyancy. {W}e show that viscous forces significantly contribute to the energy dissipated during the propagation of magmatic dykes. {A}pplied to the 1998 intrusion at {P}iton de la {F}ournaise ({L}a {R}eunion {I}sland), we provide ranges of dyke lengths and openings by adjusting the numerical velocity to the one deduced from the migration of volcano-tectonic events.},
  keywords = {dyke propagation modeling ; magma intrusion velocity ; magma viscous flow ; fluid-filled fractures ; 1998 {P}iton de la {F}ournaise ; {REUNION} ; {PITON} {DE} {LA} {FOURNAISE}},
  booktitle = {},
  journal = {{J}ournal of {G}eophysical {R}esearch : {S}olid {E}arth},
  volume = {128},
  numero = {3},
  pages = {e2022{JB}025697 [24 p.]},
  ISSN = {2169-9313},
  year = {2023},
  DOI = {10.1029/2022jb025697},
  URL = {https://www.documentation.ird.fr/hor/fdi:010087477},
}