Extensive superficial expansion of sandstone formations can be seen in the north-eastern part of the Kopet Dagh Basin. Pestehleigh Formation is one of the sandstone formations of Kopet Dagh basin. In this study, 8 sandstone samples were taken from the Pestehleigh Formation and the shear -S wave- and compression -P wave- wave’s velocity and petrographic characteristics of these samples were investigated. The results of this study showed that S wave and P wave velocities are more affected by porosity, silica, and calcareous cement. Moreover, it is shown that the effect of porosity on P wave velocity is 4 times more of the same effect in shear wave velocity, while the same effect of silica and calcareous cement is almost equal on each of these wave velocity. Finally, a suitable matrices model was introduced for estimating S and P wave\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\'s velocity utilizing these variables.

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