Difference between revisions of "Wyllie time-average equation"

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(Created page with "The Wyllie time-average equation is an equation that relates sonic velocities with the porosity of a rock. The equation is as follows: :<math>\frac{1}{v}=\frac{\phi}{v_f}+\f...")
 
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:<math>\frac{1}{v}=\frac{\phi}{v_f}+\frac{1-\phi}{v_m}</math>
 
:<math>\frac{1}{v}=\frac{\phi}{v_f}+\frac{1-\phi}{v_m}</math>
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 +
and can be rewritten in terms of interval travel-times as,
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 +
:<math>\Delta t=\phi \Delta t_f + (1 - \phi) \Delta t_m</math>
  
 
where, <math>\phi</math> is the total porosity, <math>v</math> is the wave's measured phase velocity, <math>v_m</math> is the velocity of the rock matrix, and <math>v_f</math> is the velocity of the fluid in the pores.
 
where, <math>\phi</math> is the total porosity, <math>v</math> is the wave's measured phase velocity, <math>v_m</math> is the velocity of the rock matrix, and <math>v_f</math> is the velocity of the fluid in the pores.

Revision as of 12:03, 15 September 2011

The Wyllie time-average equation is an equation that relates sonic velocities with the porosity of a rock. The equation is as follows:

and can be rewritten in terms of interval travel-times as,

where, is the total porosity, is the wave's measured phase velocity, is the velocity of the rock matrix, and is the velocity of the fluid in the pores.