Determination of stimulated reservoir volume and anisotropic permeability using analytical modelling of microseismic and hydraulic fracturing parameters

Seismic Diffusivity and the Influence of Heterogeneity on Injection‐Induced Seismicity

“…The seismic diffusivity is typically estimated using expressions that track the location of the triggering front during fluid injection. For example, the expression (where D is the diffusivity value being estimated) is very commonly used (Antonioli et al., 2005; Chen et al., 2012; Goebel et al., 2017; Goertz‐Allmann et al., 2017; Haffener et al., 2018; Hummel & Shapiro, 2012; Ingebritsen & Manning, 2010; Shapiro & Dinske, 2009a; Yong et al., 2018; Yu et al., 2019). However, it is more appropriate to use the analytical solution to linear pressure diffusion in a three dimensions in response to a point source of fluid since this approach incorporates physically meaningful parameters such as the fluid injection rate.…”

“…Numerous studies of IIS have previously indicated that tracking the location of the triggering front as observed in r ‐ t plots may produce reasonable estimates of the effective hydraulic diffusivity at the injection site, mostly using the approach described by Shapiro et al. (1997) (Antonioli et al., 2005; Chen et al., 2012; Delepine et al., 2004; Goebel et al., 2017; Goertz‐Allmann et al., 2017; Haffener et al., 2018; Hummel & Müller, 2009; Hummel & Shapiro, 2012, 2013; Improta et al., 2015; Ingebritsen & Manning, 2010; Rothert & Shapiro, 2003; Segall & Lu, 2015; Shapiro & Dinske, 2009a, 2009b; Shapiro & Müller, 1999; Shapiro et al., 2002; Yong et al., 2018; Yu et al., 2019). Although these previous studies have implicitly assumed that the seismic diffusivity is essentially equivalent to the effective hydraulic diffusivity, the numerical study presented here has clearly shown that these two quantities are likely distinct in heterogeneous domains.…”

“…Several previous studies have employed r-t plots to investigate the diffusive propagation of the so-called triggering front (Antonioli et al, 2005;Chen et al, 2012;Goebel et al, 2017;Goertz-Allmann et al, 2017;Haffener et al, 2018;Hummel & Shapiro, 2013;Ingebritsen & Manning, 2010;Shapiro & Dinske, 2009a;Shapiro et al, 1997Shapiro et al, , 2002Yong et al, 2018;Yu et al, 2019). In the most general terms, the triggering front is the three-dimensional surface propagating away from the injection location (which need not be radially symmetric) at which the onset of seismicity occurs (Rothert & Shapiro, 2003;Shapiro, 2015;Shapiro & Müller, 1999;Shapiro et al, 1997Shapiro et al, , 2002.…”

“…When employing r ‐ t plots, the location of the triggering front is described as a single radial distance from the injection location, which implicitly assumes that the subsurface is homogeneous and isotropic. Indeed, most studies of the spatiotemporal patterns of IIS, using both analytical models (Antonioli et al., 2005; Chen et al., 2012; Goebel et al., 2017; Goertz‐Allmann et al., 2017; Haffener et al., 2018; Hummel & Shapiro, 2012, 2013; Ingebritsen & Manning, 2010; Segall & Lu, 2015; Shapiro & Dinske, 2009a, 2009b; Shapiro et al., 1997; Yong et al., 2018; Yu et al., 2019) and numerical models (Brown et al., 2017; Catalli et al., 2016; Dempsey & Riffault, 2019; Keranen et al., 2014; Langenbruch & Zoback, 2016; Langenbruch et al., 2018; Pollyea et al., 2019; Riffault et al., 2018), assume a homogeneous injection formation.…”

Uncertainty Analysis of Factors Influencing Stimulated Fracture Volume in Layered Formation

“…Fracture spacing, injection pressure, in-situ stress contrast, and natural fracture dip also affect the geometry of hydraulic fractures [29,30]. Reservoir geo-mechanical parameters and hydromechanical parameters affect the stimulated reservoir volume [31] and oil productivity [32]. And the geological mechanics and hydromechanical parameters of the barrier layer affects SRV, as well, in layered formation.…”