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S r. P r. P i. f r. q i. q r. a 1 , b 1 a 2 , b 2. q t. f t. P t. S t. Sin q i Sin q r Sin q t Sin f r Sin f t a 1 a 1 a 2 b 1 b 2. Reflection coefficients. r. -. r. V. V. 2. 2. 1.
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Sr Pr Pi fr qi qr a1, b1 a2, b2 qt ft Pt St Sinqi Sinqr Sinqt Sinfr Sinft a1 a1 a2 b1 b2 Reflection coefficients
r - r V V 2 2 1 1 RC = r + r V V 2 2 1 1 Reflection coefficientsqi ≈ 0 r1: density in incident medium r2: density in refraction medium V1: seismic velocity in incident medium V2: seismic velocity in refraction medium
Reflection coefficientsqi 15 • very slight deviation from the normal-incidence case • For most seismic exploration purposes, qi 15 is a good assumption. • Therefore, normal-incidence RC is used in general.
Reflection coefficientsqi> 15 • high deviation from the normal-incidence case • Therefore, normal-incidence is NOT a good assumption. • Full Zoeppritz equations have to be used. • Zoeppritz equations are very complicated algebraically. • If qi ≤ 30, approximations of Zoeppritz equations are used. • Studies involving amplitude variation with offset (AVO) use these approximations.
Reflection coefficientsMagnitude • Rock-rock RC < |0.3| • Rock-soil RC ~ |0.7| • Rock-water RC ~ |0.7| • Rock-air RC ~ |1.0| • Water-deep-sea sediments RC ~ |0.3| • Water-air RC ~ |1.0|