Abstract: A method for determining spatial distribution of proppant incudes using signals detected by seismic sensors disposed proximate a formation treated by pumping fracturing fluid containing the proppant. Origin time and spatial position of seismic events induced by pumping the fracturing fluid are determined. Volume and orientation of at least one fracture in the subsurface formation associated with each induced seismic event are determined. Spatial distribution of a volume of the pumped fracturing fluid is determined using the volume and orientation of each fracture. A length of ellipsoidal axes is selected using a surface defined by a selected fractional amount of the total volume of frac fluid pumped into the formation. Spatial distribution of the proppant is determined using proppant mass, specific gravity and expected proppant porosity in the fractures, and spatially distributing a volume of the fractures within an ellipsoid defined by the ellipsoidal axes.

Abstract: A method for determining spatial distribution of proppant incudes using signals detected by seismic sensors disposed proximate a formation treated by pumping fracturing fluid containing the proppant. Origin time and spatial position of seismic events induced by pumping the fracturing fluid are determined. Volume and orientation of at least one fracture in the subsurface formation associated with each induced seismic event are determined. Spatial distribution of a volume of the pumped fracturing fluid is determined using the volume and orientation of each fracture. A length of ellipsoidal axes is selected using a surface defined by a selected fractional amount of the total volume of frac fluid pumped into the formation. Spatial distribution of the proppant is determined using proppant mass, specific gravity and expected proppant porosity in the fractures, and spatially distributing a volume of the fractures within an ellipsoid defined by the ellipsoidal axes.

Abstract: A method for determining a volume of a fracture network includes detecting seismic signals deployed over an area of the subsurface during pumping of fracturing fluid into at least one wellbore drilled through the area. A hypocenter of each fracture induced by the pumping is determined using the seismic signals. A facture network and associated fracture volume is determined using the determined hypocenters and seismic moments determined from the detected seismic signals. A maximum value of a scaling factor is determined based on a subset of the hypocenters having a highest cumulative seismic moments. The scaling factor is determined by relating a pumped volume of the fracturing fluid with respect to the determined fracture volume. Dimensions of each fracture are scaled using the maximum value of the scaling factor. The fracture volumes are recalculated using the scaled dimensions.

Abstract: A method for determining fracture plane orientation from seismic signals detected above a subsurface formation of interest includes detecting seismic signals using an array of seismic sensors deployed above the subsurface formation during pumping of a hydraulic fracture treatment of the subsurface formation. A time of origin and a spatial position of origin (hypocenter) of microseismic events resulting from the hydraulic fracture treatment are determined. Time consecutively occurring ones of the hypocenters falling within a selected temporal sampling window are selected. A best fit line through the selected hypocenters using a preselected linear regression coefficient is determined. The selecting hypocenters and determining best fit lines is repeated for a selected number of windows.

Abstract: A method for determining a volume of a fracture network includes detecting seismic signals deployed over an area of the subsurface during pumping of fracturing fluid into at least one wellbore drilled through the area. A hypocenter of each fracture induced by the pumping is determined using the seismic signals. A facture network and associated fracture volume is determined using the determined hypocenters and seismic moments determined from the detected seismic signals. A maximum value of a scaling factor is determined based on a subset of the hypocenters having a highest cumulative seismic moments. The scaling factor is determined by relating a pumped volume of the fracturing fluid with respect to the determined fracture volume. Dimensions of each fracture are scaled using the maximum value of the scaling factor. The fracture volumes are recalculated using the scaled dimensions.

Abstract: A method for determining fracture plane orientation from seismic signals detected above a subsurface formation of interest includes detecting seismic signals using an array of seismic sensors deployed above the subsurface formation during pumping of a hydraulic fracture treatment of the subsurface formation. A time of origin and a spatial position of origin (hypocenter) of microseismic events resulting from the hydraulic fracture treatment are determined. Time consecutively occurring ones of the hypocenters falling within a selected temporal sampling window are selected. A best fit line through the selected hypocenters using a preselected linear regression coefficient is determined. The selecting hypocenters and determining best fit lines is repeated for a selected number of windows.