References related to software package MODEL

General description of constructing a velocity model

• Cerveny, V., Klimes, L. & Psencik, I. (1988): Complete seismic-ray tracing in three-dimensional structures. In: Doornbos, D.J. (ed.), Seismological Algorithms, pp. 89-168, Academic Press, New York.

References related to the interpolation subroutines located in file 'fit.for'

• Cline, A.K. (1974): Scalar- and planar-valued curve fitting using splines under tension. Commun. ACM, 17, 218-220.
• Cline, A.K. (1974): Algorithm 476 -- Six subprograms for curve fitting using splines under tension. Commun. ACM, 17, 220-223.
• Cline, A.K. (1981): FITPACK -- software package for curve and surface fitting employing splines under tension. Dept. of Comp. Sci., Univ. of Texas, Austin.

Examples of velocity models with detailed descriptions of input data

• Klimes, L. (1995): Examples of seismic models. In: Seismic Waves in Complex 3-D Structures, Report 3, Dep. Geophys., Charles Univ., Prague, pp. 5-35, online at "http://sw3d.cz".
• Bulant, P. and Klimes, L. (1996): Examples of seismic models. Part 2. In: Seismic Waves in Complex 3-D Structures, Report 4, Dep. Geophys., Charles Univ., Prague, pp. 39-52, online at "http://sw3d.cz".
• Bulant, P. and Klimes, L. (1998): Computations in the model composed during the 1998 consortium meeting. In: Seismic Waves in Complex 3-D Structures, Report 7, Dep. Geophys., Charles Univ., Prague, pp. 33-56, online at "http://sw3d.cz".

Construction of velocity models by smoothing discrete velocities

• Klimes, L. (2000): Sobolev scalar products in the construction of velocity models. In: Seismic Waves in Complex 3-D Structures, Report 10, Dep. Geophys., Charles Univ., Prague, pp. 15-40.
  General description of smoothing discrete values using Sobolev scalar products.
• Klimes, L. (2000): Smoothing the Marmousi model for Gaussian-packet migrations. In: Seismic Waves in Complex 3-D Structures, Report 10, Dep. Geophys., Charles Univ., Prague, pp. 63-74, online at "http://sw3d.cz".
  Example of the construction of velocity models.
• Bulant, P. (2002): Sobolev scalar products in the construction of velocity models: Application to model Hess and to SEG/EAGE Salt Model. Pure appl. Geophys., 159, 1487-1506.
  Example of the construction of velocity models.
• Bulant, P. (2004): Constructing the SEG/EAGE 3-D Salt Model for ray tracing using Sobolev scalar products. Stud. geophys. geod., 48, 689-707.
  Example of the construction of velocity models.

Calculation of Lyapunov exponents (program modle2d.for)

• Klimes, L. (2002): Lyapunov exponents for 2-D ray tracing without interfaces. Pure appl. Geophys., 159, 1465-1485.