Sentence examples for using the empirical relation from inspiring English sources

In this study, UCS is approximated from P-wave velocity using the empirical relation (see above).

P-wave velocity is not inverted but derived from S-wave velocity by using the empirical relation by Kitsunezaki et al. (1990), defined as Vp = 1.29+1.11*Vs (2)where the units of Vp and Vs are expressed in kilometer/second.

Bustarret et al. [24] proposed that the refractive index n could be represented as the bonding-density-weighted linear combination of reference refractive indexes taken at x = 0 and x = 4/3 using the empirical relation: x = 4 / 3 n a − si − n / n + n a − Si − 2 n a − S i 3 N 4 (1) Figure 3 Evolution of the refractive index of SiN x thin films.

Figure 3 and Table 1 show our 67 earthquake sources, about a half of which are already modeled as variable slip distributions, while for the others we applied a simple uniform slip model using the empirical relations of Wells and Coppersmith (1994) (annotated as "empirical" in Table 1).

Using the empirical attenuation relation for crustal earthquakes proposed by Morikawa and Fujiwara (2013), which covers a wide magnitude range (M W 5.5 9.0), we perform predictions of PGA versus hypocentral distance for several combinations of the location and magnitude of the induced event.

From the observed rainfall runoff data, the SCS-CN parameter S can be determined as follows (Hawkins 1993) with λ = 0.2: S = 5left[ {left( {P + 2Q} right) - sqrt {Qleft( {4Q + 5P} right)} } right] (5 S can be transformed to CN scale using the following empirical relation: {text{CN}} = 25,400/ S + 254) (6)where S is in mm and CN is a non-dimensional parameter.

The red dotted lines denote the range of the standard deviation, and thin lines mean that the distances are larger than those used to derive the empirical relation.

Although this distance range is actually outside of that used to derive the empirical relation by Si and Midorikawa (1999), the deviation of the observed PGV is a characteristic specific to M7.3 event since the empirical relation well models the strong motions outside of the used distance range for previous large earthquakes, e.g., the 2003 Tokachi-oki earthquake in Japan (Honda et al. 2004).

These empirical relations are applicable over a wide range of applied voltage, and the estimates obtained using the proposed empirical relations correlate very well with the previously published results.

Therefore, the station correction was estimated using the same empirical relations that underlie the JMA EEW's logic.

The temporal variation of the equatorial electrojet is estimated utilising a suitably designed Kalman filter and using the established empirical relations between the anomaly component of equatorial TEC and the modified electrojet.