Estimation of objective driven porous material mechanical properties

A system for estimating a material mechanical property of a subterranean material for an application or objective with a specific application frequency and application strain amplitude, the system comprising:

• a processing device configured to determine an estimated application frequency and an estimated application strain amplitude for use in a targeted application or objective, the processing device configured to receive measurement data acquired using measurement signals having a measurement frequency range and a measurement strain amplitude, and perform:
• constructing a frequency transfer function based on the measurement data, the frequency transfer function relating the material mechanical property to measurement frequencies, the measurement frequency range including a measurement frequency different from the application frequency;
• constructing a strain amplitude transfer function based on the measurement data, the strain amplitude transfer function relating the material mechanical property at the measurement strain amplitude and the material mechanical property at the application strain amplitude, the measurement strain amplitude different from the application strain amplitude;
• deriving the material mechanical property from the frequency transfer function using the application frequency;
• and
• predicting the material mechanical property from the strain amplitude transformation function using the derived material mechanical property.