Abstract
The borehole acoustic reflection imaging logging is a newly developed acoustic logging method that has attracted many interests. These converted and reflected waves for imaging are usually mixed up with borehole guided waves and therefore difficult to be clearly identified. To improve the downhole tool design and develop more sophisticate data processing and interpretation algorithms, studies on precisely numerical modeling of the wave fields in the acoustic reflection imaging logging are necessary and critical. This paper developed a parallelized scheme of 3D finite difference (3DFD) with non-uniform staggered grid and PML absorbing boundary to simulate the acoustic wave fields in isotropic and anisotropic formations. Applications of this scheme to the typical cases of isotropic and anisotropic formations and comparison with the results from published analytical solutions have demonstrated the validation and efficiency of the scheme. Higher accuracy and lower computation cost (3.5 times faster than the conventional schemes) have been achieved with this scheme for modeling such a complex wave fields of 60 dB dynamic range with higher frequency (10 kHz). This simulating program provides a quantitative analytical means for studying acoustic reflection imaging tool and development of the data processing and interpretation methods.
Similar content being viewed by others
References
Schlumberger Geoquest. Geoframe BARS User’s Guide. Version 1.0. Kanagawa: Schlumberger K K, 1998. 1–6
Pistre V, Kinoshita T, Endo T, et al. A modular wireline sonic tool for measurements of 3D (azimuthal, radial, and axial) formation acoustic properties. In: SPWLA 46th Annual Logging Symposium, New Orleans, Louisiana, United States, 2005, 6: 26–29
Zheng Y, Tang X. Imaging near-borehole structure using acoustic logging data with pre-stack F-K migration. In: 75th Ann. Internat. Mtg. Soc. of Expl. Geophys, 2005
Hornby B E. Imaging near-borehole of formation structure using full-waveform sonic data. Geophysics, 1989, 54: 747–757
Tang X M. Imaging near-borehole structure using directional acoustic-wave measurement. Geophysics, 2004, 69(1): 1–10
Sun W T. Studies on the elastic wave field in complex media with finite difference method and global optimization (in Chinese). Dissertation for the Doctoral Degree. Beijing: Tsinghua University, 2003
Chen N Y. Borehole wave propagation in isotropic and anisotropic media: Three-dimensional finite difference approach. Dissertation for the Doctoral Degree. Cambridge: MIT, 1994
He F J, Tao G, Wang X L. Finite difference modeling of the acoustic field by sidewall logging devices. Chin J Geophys, 2006, 49(3): 923–928
Zeng Y Q, He J Q, Liu Q H. The application of the perfectly matched layer in numerical modeling of wave propagation in poroelastic media. Geophysics, 2001, 66(4): 1258–1266
Coutant O, Virieux J, Zollo A. Numerical source implementation in a 2D finite difference scheme for wave propagation. Bull Seism Soc Am, 1995, 85(5): 1507–1512
Xinmin T, Aart B, Milind G, et al. Intel OpenMp C++/Fortran compiler for hyper-threading technology: Implementation and performance. Intel Tech J Q1, 2002, 6(1): 1–10
Cheng C H, Toksöz M N. Elastic wave propagation in a fluid-filled borehole and synthetic acoustic logs. Geophysics, 1981, 46(7): 1042–1053
Bouchon M. A review of the discrete wavenumber method. Pure Appl Geophys, 2003, 160: 445–465
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by the National Natural Science Foundation of China (Grant No. 50674098) and the National Basic Research Program of China (973 Program) (Grant No. 2007CB209601)
Rights and permissions
About this article
Cite this article
Tao, G., He, F., Wang, B. et al. Study on 3D simulation of wave fields in acoustic reflection image logging. Sci. China Ser. D-Earth Sci. 51 (Suppl 2), 186–194 (2008). https://doi.org/10.1007/s11430-008-6009-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11430-008-6009-6