Download Seismic Migration: Practical Aspects Pt. B: Imaging of by A.J. Berkhout PDF
By A.J. Berkhout
Seismic Migration has been largely acclaimed by means of reviewers: one defined it as ``undoubtedly very good for geophysicists who require an intensive figuring out of migration methods'', whereas one other commented: ``Professor Berkhout leads his readers quick to all crucial issues. The systematic therapy of the topic when it comes to classical rules of acoustics and optics comes as a true refreshment. My expert colleagues price the book...''
Read or Download Seismic Migration: Practical Aspects Pt. B: Imaging of Acoustic Energy by Wave Field Extrapolation PDF
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Additional resources for Seismic Migration: Practical Aspects Pt. B: Imaging of Acoustic Energy by Wave Field Extrapolation
Sample text
P + H 2* d zP + J H Î χ P = 0 Two way: i n t e r - r e l a t e d and m u l t i p l e s One w a y : i n d e p e n d e n t Figure 1-16: description (up and on t h e propagation description on t h e primary travelling primary reflected propagation source wave f i e l d description of primaries down). travelling Summary on t h e azP"-jHT χ ρ = o + P =0 of wave wave of and the fields. propagation. the downward upward 42 Figure 1-16 summarizes the description Note t h a t wave c o n v e r s i o n i s description well the compressional As the one-wav description transmission subcritical-angle It is imDortant wave enuation to contains Finally, using be data propagation in schematically.
W - ( z o, z n) f . r e p l a c e d b y 2D c o n v o l u t i o n s or, j k ( z n, z j n and k i n d i c a t e ; ( z n n + that ) (I-59a) )1 (I-59b) the variable y equals and y ^ r e s p e c t i v e l y . Figure and where applications we t h e n may w r i t e W ( z n, z 0) + boundary conditions In most m i g r a t i o n a n d T" (I-57b) I-27a: Raypaths related to the ith row of W^j(zp +1 , z p) . the value 59 Figure I-27b: Raypaths related I. 10 Geometrical Assume z e r o - o f f s e t time tj at trace aspects data of and c o n s i d e r position Xj to the ith row of migration one s i n g l e reflection —• χ Xi b.
The can be surface 38 m Δω θ5Ρ(χ,Ζ 0,ω) At • 2 k ( x , z 0) a 2 P ( x > Z o f C) Ü at z = z 0 t Ρ(χ,ζ 0,ω) ΓΓΙΔΟ ^max L Figure In I-15b: equations considered. 3 ZP where H 2 (I-27a) and ( I - 2 7 b ) + H 2 * the pressure of a total Equations (1-27) as Ρ may c o n s i s t the computational domain. are often r e f e r r e d t o as t h e o f downward and upward scheme i n t h e f r e q u e n c y domain In addition, v e l o c i t y c may be l a t e r a l l y c a n be shown t h a t kept f i e l d was (I-27c) the computations on t h e f r e q u e n c y components o f i n t e r e s t It wave we may w r i t e Ρ = ο, = d 2( x ) + k^S(x).