Stress and fracture modeling using the principle of superposition

A computer-executable method, comprising:

• simulating linearly independent far field stress tensors in constant time based on multiple types of geologic data associated with a subsurface volume;
• computing precomputed strain, stress, or displacement values based on a principle of superposition applied to the simulations;
• and
• iteratively minimizing a cost function to determine optimization parameters for predicting a stress attribute of the subsurface volume in real-time based on the precomputed strain, stress, and displacement values.

A computer-readable storage medium tangibly containing instructions, which when executed by a computer, perform a process, including:

• receiving fault geometry data for one or more faults in a subsurface volume;
• receiving at least one data set containing data points of collected data including fault orientation data, displacement data, and/or stress magnitude data in the subsurface volume;
• simulating three linearly independent far field stress tensor models in constant time to generate three sets of component strain, stress, and/or displacement values for each of the data points;
• computing strain, stress, and/or displacement values for each data point based on a principle of superposition applied to the three stress tensor models;
• iteratively determining optimization parameters to fit the precomputed strain, stress, and displacement values to a far field stress value for each data point in the subsurface volume;
• and
• applying the optimization parameters to the precomputed strain, stress, and/or displacement values to predict stress and displacement parameters in the subsurface volume in real-time.