SEARCH

SEARCH BY CITATION

References

  • Anderson, B., S. K. Chang, Synthetic induction logs by the finite element method, Log Anal., 23, 1729, 1982.
  • Beylkin, G., On fast Fourier transform of functions with singularities, Appl. Comput. Harmonic Anal., 2, 363382, 1995.
  • Catedra, M. F., R. P. Torres, J. Basterrechea, E. Gago, The CG-FFT Method: Application of Signal Processing Techniques to Electromagnetics, Artech House, Norwood Mass., 1995.
  • Chang, S. K., B. Anderson, Simulation of induction logging by the finite element method, Geophysics, 49, 19431958, 1984.
  • Chew, W. C., Waves and Fields in Inhomogeneous Media, Van Nostrand Reinhold, New York, 1990.
  • Chew, W. C., Q. H. Liu, Inversion of induction tool measurements using the distorted Born iterative method and CG-FFHT, IEEE Trans. Geosci. Remote Sens., GE-32, 878884, 1994.
  • Chew, W. C., S. Barone, B. Anderson, C. Hennessy, Diffraction of axisymmetric waves in a borehole by bed boundary discontinuities, Geophysics, 49, 15861595, 1984.
  • Chew, W. C., Z. Nie, Q. H. Liu, B. Anderson, An efficient solution for the response of electrical well logging tools in a complex environment, IEEE Trans. Geosci. Remote Sens., GE-29, 308313, 1991.
  • Cooley, J. W., J. W. Tukey, Algorithm for the machine computation of complex Fourier series, Math. Comput., 19, 297301, 1965.
  • Doll, H. G., Introduction to induction logging and application to logging of wells drilled with oil-based mud, J. Pet. Technol., 1, 148162, 1949.
  • Druskip, V. L., T. V. Tamarchenko, Fast variant of partial domain method for solution of the problem of induction logging, Geol. Geofiz., 29, 129135, 1988.
  • Dutt, A., V. Rokhlin, Fast Fourier transform for nonequispaced data, SIAM J. Sci. Comput., 14, 13681393, 1993.
  • Gradshteyn, I. S., I. M. Ryzhik, Table of Integrals, Series, and Products, Academic, San Diego, 1965.
  • Lin, Y., S. Gianzero, R. Strickland, Inversion of induction logging data using the least square techniqueSPWLA 25th Annual Logging SymposiumSoc. of Prof. Well Log Anal.New OrleansJune 10–13, 1984.
  • Liu, Q. H., W. C. Chew, A CG-FFHT method for the scattering solution of axisymmetric inhomogeneous media, Microwave Opt. Technol. Lett., 6, 101104, 1993.
  • Liu, Q. H., W. C. Chew, Applications of the conjugate gradient fast Fourier Hankel transfer method with an improved fast Hankel transform, Radio Sci., 29, 10091022, 1994.
  • Liu, Q. H., N. Nguyen, An accurate algorithm for nonuniform fast Fourier transform, IEEE Microwave Guided Wave Lett., 8, 1820, 1998.
  • Liu, Q. H., X. Y. Tang, Iterative algorithm for nonuniform inverse fast Fourier transform(NU-IFFT), Electron. Lett., 34, 19131914, 1998.
  • Liu, Q. H., Z. Q. Zhang, Nonuniform fast Hankel transform (NUFHT) algorithm, Appl. Opt., 38, 67056708, 1999.
  • Nguyen, N., Q. H. Liu, The regular Fourier matrices and nonuniform fast Fourier transforms, SIAM J. Sci. Compt., 21, 283293, 1999.
  • Pai, D. M., M. Huang, A generalized Haskell matrix method for borehole electromagnetics: Theory and applications, Geophysics, 53, 15771586, 1988.
  • Sarkar, T. K., Application of Conjugate Gradient Method to Electromagnetics and Signal Analysis, 5, Prog. Electromagn. Res., PIER, 1991.
  • Siegman, A. E., Quasi fast Hankel transform, Opt. Lett., 1, 1315, 1977.
  • Zhang, G. J., Z. Q. Zhang, Application of SAM to the computation of Green function in axisymmetric inhomogeneous media, IEEE Trans. Geosci. Remote Sens., GE-36, 732737, 1998.
  • Zhang, G. J., H. M. Wang, G. L. Wang, The response of induction logging tools in stratified media, Acta Geophys. Sin., 38, 840849, 1995.
  • Zhang, Z. Q., Q. H. Liu, Reconstruction of axisymmetric media with an FFHT enhanced extended Born approximation, Inverse Probl., 165, 12811296, 2000.