# 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.