Determining proppant and fluid distribution

A computing device comprising:

• a memory and a processor cooperating therewith to
• model a bulk electromagnetic (EM) characteristic of a composite material comprising a fracturing fluid, a proppant, and a sensing additive,
• generate a modeled propped fracture pattern for a subterranean formation having the composite material injected therein,
• generate a three dimensional (3D) arrangement of cells based upon the bulk EM characteristic and the modeled propped fracture pattern using an effective medium theory (EMT) model, and with each cell having a modeled localized EM characteristic associated therewith, and
• for an actual fracture pattern caused by injection of the composite material into the subterranean formation, determine a respective actual EM characteristic for each cell based upon the modeled localized EM characteristics and collected EM data, the EM data collected based upon the sensing additive within the actual propped fracture pattern.

A non-transitory computer-readable medium having computer-executable instructions for causing a computer to at least:

• model a bulk electromagnetic (EM) characteristic of a composite material comprising a fracturing fluid, a proppant, and a sensing additive;
• generate a modeled propped fracture pattern for a subterranean formation having the composite material injected therein;
• generate a three dimensional (3D) arrangement of cells based upon the bulk EM characteristic and the modeled propped fracture pattern using an effective medium theory (EMT) model, and with each cell having a modeled localized EM characteristic associated therewith;
• and
• for an actual fracture pattern caused by injection of the composite material into the subterranean formation, determine a respective actual EM characteristic for each cell based upon the modeled localized EM characteristics and collected EM data, the EM data collected based upon the sensing additive within the actual propped fracture pattern.