7 papers
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…
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…
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…
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…
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…
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…