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20202023
most citedRay Velocity Derivatives in Anisotropic Elastic Media. Part II - Polar Anisotropy

3 citations · 8 across the 10 of their papers we have counts for

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physics.geo-ph2023★ 1 cited

Hypersurface Curvatures of Geological Features

Igor Ravve, Anne-Laure Tertois, Bruno de Ribet +1

Reflector-normal angles and reflector-curvature parameters are the principal geometric attributes used in seismic interpretation for characterizing the orientations and shapes, res…

physics.geo-ph2021★ 3 cited

Ray Velocity Derivatives in Anisotropic Elastic Media. Part II - Polar Anisotropy

Igor Ravve, Zvi Koren

In Part I of this study, we obtained the ray (group) velocity gradients and Hessians with respect to the ray locations, directions and the anisotropic model parameters, at nodal po…

physics.geo-ph2021★ 2 cited

Ray Velocity Derivatives in Anisotropic Elastic Media. Part I -- General Anisotropy

Zvi Koren, Igor Ravve

We present an original, generic, and efficient approach for computing the first and second partial derivatives of ray velocities along ray paths in general anisotropic elastic medi…

physics.geo-ph2020

Eigenrays in 3D heterogeneous anisotropic media: Part VII -- Dynamics, Finite-element implementation

Igor Ravve, Zvi Koren

In this part, we apply the same finite-element approach, used in Part III for the vanishing first traveltime variation (to obtain the stationary rays), for the second traveltime va…

physics.geo-ph2020★ 1 cited

Eigenrays in 3D heterogeneous anisotropic media: Part VI -- Dynamics, Lagrangian vs. Hamiltonian approaches

Igor Ravve, Zvi Koren

In Part V of this study, we presented an original Lagrangian approach for computing the dynamic characteristics along stationary rays, by solving the linear, second-order Jacobi di…

physics.geo-ph2020

Eigenrays in 3D heterogeneous anisotropic media: Part V -- Dynamics, Variational formulation

Igor Ravve, Zvi Koren

Parts V, VI and VII of this study are dedicated to the computation of paraxial rays and dynamic characteristics along the stationary rays obtained numerically in Part III. In this…

physics.geo-ph2020

Eigenrays in 3D heterogeneous anisotropic media: Part IV -- Geometric spreading from traveltime Hessian

Igor Ravve, Zvi Koren

Considering 3D heterogeneous anisotropic media, in Part III of this study we obtain the finite-element solution for the stationary ray path between two fixed endpoints using the fi…

physics.geo-ph2020★ 1 cited

Eigenrays in 3D heterogeneous anisotropic media: Part III -- Kinematics, Finite-element implementation

Zvi Koren, Igor Ravve

Following the theory presented in Part I, where we derived the Euler-Lagrange, nonlinear, second-order kinematic ray tracing equation for smooth heterogeneous general anisotropic m…

physics.geo-ph2020

Eigenrays in 3D heterogeneous anisotropic media: Part II -- Kinematics, Validation of the Lagrangian

Zvi Koren, Igor Ravve

The form of the Lagrangian proposed in Part I of this study has been previously used for obtaining stationary ray paths between two endpoints in isotropic media. We extended it to…

physics.geo-ph2020

Eigenrays in 3D heterogeneous anisotropic media: Part I -- Kinematics, Variational formulation

Zvi Koren, Igor Ravve

We present a new ray bending approach, referred to as the Eigenray method, for solving two-point boundary-value kinematic and dynamic ray tracing problems in 3D smooth heterogeneou…