Error ana lysis of P2wave non2hyperbolic m oveout veloc ity in layered media

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1 Vol128 No11 GLOBAL GEOLOGY Mar : (2009) P 1, 1, 2, 1 1., ; 2., :,,,, 1%,,, 12187%,, : ; ; ; : P63114 : A Abstract: Error ana lysis of P2wave non2hyperbolic m oveout veloc ity in layered media XU Shan2hui 1, HAN L i2guo 1, L I Pei2pei 2, L IAN Yu2guang 1 1. College of Geoexploration Science and Technology, J ilin U niversity, Changchun , China; 2. China O ffshore O il Corporation R esearch Center, B eijing , China In order to imp rove the p recision of non2hyperbolic anisotrop ic velocity analysis and adap t the ve2 locity analysis to far offset or other comp lex circum stances, the authors confirm the reliability of non2hyperbolic ve2 locity analysis by summarizing the basic step s of velocity parameters estimation of non2hyperbola in layered media and using num erical simulation and resemblable analysis, and the error between inversion result and theoretical val2 ue is about 1%. The error analysis of anisotrop ic parameter indicates it is sensitive to the error, and the error be2 tween inversion result and theoretical value is as high as 12187%, so it is best to p ick directly to increase the p recision of velocity analysis. Key words: non2hyperbolic moveout; layered media; resemblance; error analysis 0,,,,, [ 1 ],,,,, : ; : : (863 ) (2006AA06Z108)

2 1 : P 99, [ 2 ] Thom sen P, A lkhalifah,, [ 3 ],,,, 1 P,,, Thom sen, P p 0 [ 4 ], : V p ( ) = V P 0 (1 + sin 2 cos 2 + sin 4 ) (1) : A lkhalifah, TI,, [ 5 ] : = 1 2 V 2 1 = (2) V hor = V p = V (3) : V hor 1( 3) V hor,, hor, > 0, V hor > V ; = 0, V hor = V ; < 0, V hor <V A lkhalifah [ 3 ] : V 2 2 x 4 V 2 [ t 2 0V 2 + (1 + 2 ) x 2 ] (4),,, x t 0, 1 V hor F ig11 Rela tion sh ip graph of changes w ith V and V hor (3) : V 2 ( V 2 ) x 4 V 2 [ t 2 0V 4 + x 2 ] (5) ( 5 ) V V hor, P hor, V hor ( xϖ ), (5),,, ( 5),, C = 112 [ 7 ], (5) : V 2 ( V 2 ) x 4 V 2 ( t 2 0V 4 + C x 2 ) (6) C = 1 C = 112 ( x m ax / z = 2), ( ) VTI x m ax / z 2,, C = 112,, ( 6), C

100 28 2, (6) t 0 V V hor, CMP, CMP (6) t 0, V V hor, V V hor : S ( t 0, V, ) = t 0 +T /2 t 0 = t 0 T /2 x m ax x = x m in F ( x, t) M t 0 +T /2 t 0 = t 0 T /2 x m ax x = x m in F 2 ( x, t) 2 (7) :

3 , (6) t 0 V V hor, CMP, CMP (6) t 0, V V hor, V V hor : S ( t 0, V, ) = t 0 +T /2 t 0 = t 0 T /2 x m ax x = x m in F ( x, t) M t 0 +T /2 t 0 = t 0 T /2 x m ax x = x m in F 2 ( x, t) 2 (7) : M, F ( x, t) F 2 ( x, t) t ( t 0, V, V hor, x), t 0 T ; S, S, V 3 A lkhalifah [ 3 ] : (3) (10) g ( i) g ( i 1) ; g (N ) = V 4 (N ) [1 + 8 (N ) ] = V 2 (N ) [4 (N ) 3V 2 (N ) ] (10) (4) g ( i), 2 ( 11) (12) V ( i) hor = V ( i) 1 g ( i) t 0 ( i) g ( i 1) t 0 ( i 1) 4 (V ( i) ) 4 t 0 ( i) t 0 ( i 1) ( i) 1 = 8 (V ( i) ) 4 g ( i) t 0 ( i) g ( i 1) t 0 ( i 1) t 0 ( i) t 0 ( i 1) (11) (V ( i) 4 ) (12) hor ( i) ( i) 4 TI, 1, P0 2P, 3 VTI P t 2 ( x, N ) = t 2 0 (N ) + V 2 (N ) x 2 ( (N ) V 2 (N ) ) x 2 (8) V 2 (N ) t 2 0 (N ) V 4 (N ) + C (N ) x 2 : (1) (8) ( N ) (C = 112), V hor t 0 ; (2) (9) ( i ) ( i) ; (V ( i) ) 2 = V2 ( i) t 0 ( i) V 2 ( i 1) t 0 ( i 1) t 0 ( i) t 0 ( i 1) (9) 2 P F ig12 Hodographs of P2wave

4 1 : P T I Table 1 Ba sic param eters of double VT Im odel Z/km s 1 V p0 /km s P F ig13 Resem blance coun tours of P2wave : V (N) V hor (N ) (N ) (8) ( 2), 2,, hor 01095%, 01949% 01406%,, 12178% 9% 454 V V hor 3 2 T IP Table 2 P2wave veloc ity ana lysis results of double VT Im odel V /km s 1 V hor / km s 1 /% /% /% V /km s 1 V hor / km s 1 /% /% /% ,, 5 (2), V ( i) V hor ( i), ( i), : = = 1 2 (V hor + V hor ) 2 (V + V ) 2 (V hor ) 2 : : (V ) 2 (13) V hor V = V hor V2 hor V 3 (14) ( 100 m s 1, ),,, : = V hor V2 hor V 3 2 V hor V 3 hor V + 3V2 hor 2 2V 4 (15) ( ),,

5 (1),,, P V hor (2), TI, V hor,,, 4 VT I () V hor () F ig14 V, V hor errors from the bottom of VT I layer 5 VT I F ig15error from the bottom of VT I layer,,,,,,, V, hor (1% ), [ 8 ] : [ 1 ]. [ J ]., 2002, 17 (2) : ZHANG Zhong2jie. A review of the seism ic anisotropy and its app lications [ J ]. Progress in Geophysics, 2002, 17 (2) : [ 2 ]. [M ]. :, 1986: HE Q iao2deng. Seism ic exp loration theory [ M ]. Bei2 jing: Geological Publishing House, 1986: [ 3 ] A lkhalifah T. Velocity analysis using nonhyperbolic moveout intransversely isotrop ic media [ J ]. Geophys2 ics, 1997, 62 ( 6) : [ 4 ]. : [D ]. :, CHEN Chun2ji. M ethod of anisotrop ic multi2wave velocity analysis: masterπs degree thesis [ D ]. Chengdu: Cheng2 du University of Technology, [ 5 ],,. [ J ]., 2004, 43 (5) : XU Yi2m ing, HUANG Zhong2yu, L IU Lu2jia. Velocity analysis in anisotropy medium [ J ]. Geophysical Pros2 pecting for Petroleum, 2004, 43 ( 5) : [ 6 ],,. TI [ J ]., 2004, 19 (1) : WANG Guang2jie, ZHANG Zhong2jie, TENG J i2wen. Velocity analysis using nonhyperbolic moveout in trans2 versely isotrop ic media [ J ]. Progress in Geophysics, 2004, 19 ( 1) : [ 7 ] Tsvankin I, Thom sen L. Nonhyperbolic reflection move2 out in isotrop ic media [ J ]. Geophysics, 1994, 59 (8) : [ 8 ] Tsvankin I. Seism ic signatures and analysis of reflection data in anisotrop ic media [M ]. New York: Elsevier Sci2 ence, 2001:

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