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where Vp is the P-Wave velocity and Vs is the S-Wave velocity. According to Castagna et al (1985), Vp and Vs can be calculated by using this formula:
 
where Vp is the P-Wave velocity and Vs is the S-Wave velocity. According to Castagna et al (1985), Vp and Vs can be calculated by using this formula:
 +
 +
:<math>AI = \rho \times V \rho</math>
 +
:<math>SI = \rho \times Vs</math>
 +
:<math>\sigma = \frac{\left (\frac{Vp}{Vs} \right )^2 - 1}{2 \left(\frac{Vp}{Vs} \right )^2 - 1}</math>
    
where φs is the sonic-derived porosity, Vclay is the clay volume, Δtlog is the sonic log reading (DT), Δtmatrix is the matrix transit time (see table 4 for reference value), and Δtfluid is the fluid transit time (see table 4 for reference value). Theoretically, a formation with high density will has lower transit time (Δtlog) which will cause the seismic wave to travel faster in that formation. An anomaly in density and sonic log (Δt) in a formation may indicates the presence of fluids in that formation (see section 9).
 
where φs is the sonic-derived porosity, Vclay is the clay volume, Δtlog is the sonic log reading (DT), Δtmatrix is the matrix transit time (see table 4 for reference value), and Δtfluid is the fluid transit time (see table 4 for reference value). Theoretically, a formation with high density will has lower transit time (Δtlog) which will cause the seismic wave to travel faster in that formation. An anomaly in density and sonic log (Δt) in a formation may indicates the presence of fluids in that formation (see section 9).

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