New derivation of the wavefront curvature transformation at an interface between two inhomogeneous media
The principles for ray-tracing and wavefront curvature calculations in a three-dimensional medium are reviewed. A new derivation of the transformation of the wavefront curvature matrix at an interface between two inhomogeneous media is given. The derivation is based on a Taylor series expansion of the ray refraction equation at the interface between two inhomogeneous media, and only elementary geometric arguments are used. The wavefront curvature transformation at the interface is obtained by neglecting all terms in the direction of the surface normal. With proper definition of the variables, the derivation is also valid for a reflected wavefront. A simplified transformation rule is derived for a reflected wave of the same type as the incident wave.
- Research Organization:
- SINTEF, Division of Petroleum Engineering, N-7034 Trondheim-NTH, Norway
- OSTI ID:
- 5951614
- Journal Information:
- Geophys. Prospect.; (United States), Vol. 30:5
- Country of Publication:
- United States
- Language:
- English
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