Interaction between Crustal-Scale Darcy and Hydrofracture Fluid Transport: A Numerical Study

Figure 6

Self-similarity analysis of pressure fluctuations with rescaled range analysis. (a) Rescaled range () versus time lag in model time steps. The slope of the curve indicates the Hurst exponent (, plotted in (b)). Dotted lines show and . (b) Hurst exponents versus for shown data-series, including those shown in (a). For , where indicates self-organized criticality [56, 73]. With a higher diffusion coefficient, the Hurst exponent first decreases, until it increases up to almost , indicating a fully correlated time series.

(a)

(b)