ABSTRACT
A method and underlying mathematical model are introduced for determining the size scaling and frequency sensitivity of mechanical properties. The method allows laboratory triaxial and ultrasonic data, as well as log data such as the dipole sonic log, or a subset of these, to be used for determining static moduli on a larger scale. Applications are in hydraulic fracture design, in-situ stress estimation from logs, and wellbore/formation deformation studies. The model is based on soft discontinuities and inhomogeneities as the primary causes of scale effects in geologic media. Because of its basis in physical mechanisms, the model has the potential of being more widely applicable than if it were purely empirical. A computer program is developed to allow easy data reduction and application. Validation is performed with lab and field data at five different depths and rock types from a coalbed methane well.
