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Our simulations favour a cascading rupture that begins from a medium heterogeneity and then progresses over larger scale heterogeneity.
The link between medium heterogeneity and time-nonlocal parameters will help to improve model predictability for non-Fickian transport in alluvial settings.
The equation of the dusty gas model already includes obstruction factors for Knudsen diffusion and molecular diffusion, which relate to medium heterogeneity and tortuosity and depend only on the structure of the porous medium.
For I, values between 25% and 50% were considered as low heterogeneity; those between 50% and 75% were considered as medium heterogeneity; and those over 75% were considered as high heterogeneity.
16 Heterogeneity will be assessed using the χ test on Cochrane's Q statistic 17 and quantified by calculating the I. 18 Values of 25%, 50%and75%5% for I2 represent, respectively, low heterogeneity, medium heterogeneity and high heterogeneity.
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The causes of the scatter may include the action of multiple nonisotropic sources, measurement errors associated with departure from the plane-wave assumption, severe ray bending associated with medium heterogeneities, and focusing effects resulting from free-surface interactions related to the volcano topography (e.g., Ripperger et al., 2003).
The deformation field (Figure 7) computed solving Eq. (1) resembles the patterns obtained in [12 14], although there are some discrepancies in the amplitudes, likely arising from the medium heterogeneity rock properties and the single component injection.
There was statistically insignificant heterogeneity (p = 0.24) and medium heterogeneity (I = 28 %) among all mortality at discharge analyses (Fig. 3a).
Axis-symmetric model geometry and elastic medium heterogeneity of the Campi Flegrei area.
Exclusion of two large sample studies [ 36, 39], whose size was more than half of total study samples showed a no statistically significant positive association1.11 (95 % CI, 0.89 1.38), and a medium heterogeneity was observed (P = 0.128, I 2 = 29.6 %).
WOG method sheds a new light on solving the PDEs of complicated groundwater problems in a changing environment and on analyzing medium heterogeneity.
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