Table 1 Physical quantities and units of the different displacement potential expressions used in SPECFEM2D_GLOBE and SPECFEM3D_GLOBE

From: Efficient hybrid numerical modeling of the seismic wavefield in the presence of solid-fluid boundaries

Physical quantity

SPECFEM2D_GLOBE + Unit

SPECFEM3D_GLOBE + Unit

Displacement

\({{{\bf{u}}}}_{f}=\frac{1}{{\rho }_{f}}\nabla \varphi \,\,\, {{\mbox{in}}}\,\,\,(m)\)

\({{{\bf{u}}}}_{f}=\frac{1}{{\rho }_{f}}\nabla ({\rho }_{f}\phi )\,\,\, {{\mbox{in}}}\,\,\,(m)\)

Displacement potential

φ  in  (kg/m)

ϕ  in  (m2)

Pressure

\(P=-\ddot{\varphi }\,\,\, {{\mbox{in}}}\,\,\,(N/{m}^{2})\)

\(P=-{\rho }_{f}\ddot{\phi }\,\,\,{{\mbox{in}}} \,\,\,(N/{m}^{2})\)

  1. All of these are presented in italic text.