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Uniaxial Compressive Strength (UCS) is an important parameter in petroleum-related rock mechanics, especially drilling operations and production. The lack of appropriate core specimens for laboratory experiments is often a serious obstacle for any geomechanical investigations. Therefore, fast and continuous estimation of UCS based on other accessible data is highly appreciated.

The purpose of this study was to verify the most important contributing parameters for estimating UCS of sandstone. Therefore, we established a collection of hundreds of published data plus authors' experimental data. Then we followed a statistical approach based on credible views concerning engineering characteristics of sandstone. Accordingly, we realized that both porosity and Young's modulus significantly affect UCS of sandstone. However, estimation of UCS based on φ or E individually, often gives large error, while it may be …