Estimating mechanical properties of limestone from petrophysical data

Young’s modulus measured as the slope of the stress-strain curve under static loading conditions (Es) in the lab is one of the most essential parameters for reservoir geomechanical modeling. However, information on the value of Es along the well length is often discontinuous and limited to cross well with the core. On the other hand, well log data for wave velocities Vp and Vs are often available for most hydrocarbon reservoirs. Hence, well-known equations are needed to calculate static Young’s modulus based on the compressional and shear wave velocities (Vp and Vs) that is dynamic Young’s modulus (Ed). Unfortunately, because of porosity and micro cracks in rock texture, Es and Ed are not equal. Therefore, correlation between static and dynamic parameters could result in a continuous and more reliable knowledge on the elastic parameters along the well length. In this research, laboratory experiments were carried out on limestone rock core specimens of Sarvak formation obtained from an oil well in the South West of Iran. Empirical relations were suggested to estimate UCS and static Young’s modulus from compressional wave velocity (Vp) and dynamic Young’s modulus. These empirical relations are prerequisite for continuous wellbore stability analysis in oil and gas well drilling