Difference between revisions of "Wyllie time-average equation"

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:<math>\Delta t=\phi \Delta t_f + (1 - \phi) \Delta t_m</math>
 
:<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, <math>\Delta t</math> is the measured interval travel-time, <math>\Delta t_m</math> is the interval travel-time of the rock matrix, <math>\Delta t_f</math> is the interval travel-time of the saturating fluid.

Revision as of 12:12, 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, is the measured interval travel-time, is the interval travel-time of the rock matrix, is the interval travel-time of the saturating fluid.