Inversion method to estimate fracture propagation velocity and fracture volume with cross-well distributed fiber-optic strain data before fracture hit

A system comprising:

• a fiber-optic strain sensor configured to be disposed downhole in a monitoring well to obtain strain data while a fracture, caused by a hydraulic fracturing operation in an adjacent treatment well, propagates from the treatment well toward the monitoring well, the strain data obtained even before a fracture hit occurs in the monitoring well, wherein obtaining the strain data comprises:
• measuring strain rate data;
• and
• integrating the strain rate data over a time period to obtain the strain data;
• and
• processing circuitry configured to:
• perform an inversion based on the strain data to estimate fracture parameters associated with the propagation of the fracture even before the fracture hit occurs in the monitoring well, wherein the performing the inversion to estimate the fracture parameters comprises:
• calculating a modeled strain using a 3D displacement discontinuity method (3D DDM), wherein the modeled strain is a function of a height of the fracture, a width of the fracture, and a length of the fracture;
• performing a gradient-based inversion by iteratively reducing a residual between the modeled strain and the strain data;
• and
• estimating, based on the gradient-based inversion, the fracture parameters before the fracture hit occurs in the monitoring well.