Abstract:
This paper discusses Born/Rytov approximation tomographic velocity inversion methods constrained by the Fresnel zone. Calculations of the sensitivity kernel function and traveltime residuals are critical in tomographic velocity inversion. Based on the Born/Rytov approximation of the frequency-domain wave equation, we derive the traveltime sensitivity kernels of the wave equation on the band-limited wave field and simultaneously obtain the traveltime residuals based on the Rytov approximation. In contrast to single-ray tomography, the modified velocity inversion method improves the inversion stability. Tests of the near-surface velocity model and field data prove that the proposed method has higher accuracy and Computational efficiency than ray theory tomography and full waveform inversion methods.
ZHANG Kai,YIN Zheng,LI Zhen-Chun et al. Wave equation tomographic velocity inversion method based on the Born/Rytov approximation[J]. APPLIED GEOPHYSICS, 2013, 10(3): 314-322.
[1]
Al-Yahya, K., 1989, Velocity analysis by interactive profile migration, Geophysics, 54(6), 718 - 729.
[2]
Bois, P., Porte, M. La., and Lavergne, M., 1972, Well-to-well seismic measurements: Geophysics, 37(3), 471 - 480.
[3]
Dahlen, F. A., Hung, S. H., and Nolet, G., 2000, Fréchet kernels for finite-frequency travel times-I Theory, Geophysical Journal International, 141, 157 - 174.
[4]
Faye, J. P., Jeanot, J. P., and Denelle, E., 1986, Prestack migration velocities from depth focusing analysis: Expanded Abstracts of the 56th Annual Internat. SEG Meeting, 438 - 440.
[5]
Garotta, R., and Miehon, D., 1967, Continuous analysis of the velocity function and of the normal-moveout corrections: Geophysical Prospecting, 15(4), 584 - 597.
[6]
Hao, H., Zhang, J., Yang, J., Liu, Y., and Dong, L., 2011, Reflection Fresnel Volume tomography and its application: International Geophysical Conference, Shenzhen, China, November 7 - 10, 16 - 16.
[7]
Jin, S., and Beydoun, W., 2000, 2D multiscale non-linear velocity estimation, Geophysical Prospecting, 48(1), 163 - 180.
[8]
Li, Z. C., Yao, Y. X, Ma, Z. T., and Wang, H. Z., 2003, Velocity analysis and modeling on wave-equation CIGs: The Journal of China Geophysics, 46, 86 - 93.
[9]
Liu, Y. Z., Dong, L. G., and Wang, Y. W., 2009, Sensitivity kernels for seismic Fresnel volume tomography: Geophysics, 74 (5), U35 - U46.
[10]
Luo, Y., and Schuster, G. T., 1990, Wave equation traveltime inversion, Expanded Abstracts of the 60th Annual Internat SEG Meeting, 1207 - 1210.
[11]
Liu, Y. Z., and Dong, L. G., 2007, Analysis of influence factors of first-breaks tomography: Oil Geophysical Prospecting (in Chinese), 42(5), 544 - 553.
[12]
Marquering, H., Nolet, G., and Dahlen, F. A., 1998, Three-dimensional waveform sensitivity kernels, Geophysical Journal International, 132, 521 - 534.
[13]
Ni, Y., and Yang, K., 2012, Slope tomography assisted by finite-frequency sensitivity kernel: SEG Technical Program Expanded Abstracts: 1 - 5.
[14]
Sava, P., and, Fomel, S., 2003, Angle-domain common imaging gathers by wavefield continuation methods: Geophysics, 68(3), 1065 - 1074.
[15]
Spetzler, G., and Snieder, R., 2004, The Fresnel volume and transmitted waves: Geophysics, 69, 653 - 663.
[16]
Spetzler, G., and Snieder, R., 2001, The effect of small-scale heterogeneity on the arrival time of waves: Geophysical Journal International, 145, 786 - 796.
[17]
Snieder, R., and Lomax, A., 1996, Wavefield smoothing and the effect of rough velocity perturbations on arrival times and amplitudes: Geophysical Journal International, 125, 796 - 812.
[18]
Spetzler, J., ?ija?i?, D., and Wolf, K., 2007, Application of a linear finite-frequency theory to time-lapse crosswell tomography in ultrasonic and numerical experiments, Geophysics, 72(6), O19 - O27.
[19]
Stork, C., 1992, Reflection tomography in the postmigrated domain: Geophysics, 57(5), 680 - 692.
[20]
Xie, X., and Yang, H., 2008, The finite-frequency sensitivity kernel for migration residual moveout and its applications in migration velocity analysis, Geophysics, 73(6), S241 - S249.
[21]
Zhang, K., Li, Z. C., and Zeng, T. S., 2010, The residual curvature migration velocity analysis on angle domain common imaging gathers: Applied Geophysics, 7(1), 49 - 56.
[22]
Zhang, K., Li, Z. C., and Zeng, T. S., 2012, Tomographic velocity inversion for ADCIGs in areas with a rugged surface:Applied Geophysics, 9(3), 313 - 318.
[23]
Zhang, Z. G., Shen, Y., and Zhao, L., 2007, Finite-frequency sensitivity kernels for head waves: Geophysical Journal International, 171, 847 - 856.