Sentence examples for using the empirical equation from inspiring English sources
These factors are used to estimate subsidence using the empirical equation SMax = [c/(1 + 10^(−a((W/D) − b)))] ∗m, where W is the width of the void, D the depth, m the effective void thickness, and a, b, c are parameters related to the mechanical competency of the overburden.
The fitting of the experimental data for the rate of methane conversion, RCH4, using the empirical equation RCH4= k1 PCH4 m PCO2)n showed that both reaction orders n and m are steady and obtain values equal to m ≈ 1 and n ≈ 0.
H2O concentrations in the haplogranite and jadeite melts were estimated for each of the pressure and temperature conditions using the empirical equation described by Moore et al. (1998).
Calculating the seismic energy using the equation for the RMS waveform of LFEs (Ide et al. 2008), and calculating the seismic moment using the empirical equation for the maximum amplitude and moment magnitude (Ando et al. 2012), suggested that the scaled energy was of the order of 10−11 for the three events shown in Fig. 2c e.
Thermal diffusivity (A) was estimated using the empirical equation proposed by Hyndman et al. (1979) from the measured thermal conductivities of 45 half-core samples (open squares) and 38 rock-chips samples (open triangles), and the measured values for the four whole-round core samples (red circles).
Thermistor resistance (R TH) and temperature (T) in Kelvin were modeled using the empirical equation developed by Considine [4]: R_{text{TH}} = exp left( {frac{B}{T}; + ;C} right) (10) or ln left( {R_{text{TH}} } right); = ; frac{B}{T} ; + ;C, (11 where the parameters (B) and (C) are the thermistor constants and were obtained from experimental calibration using warm water.
The laboratory MR values are lower than the calculated ones using the empirical equations.
By comparing the flow velocity values obtained by using the empirical equations and the numerical model results, a similar trend along the flow travel distance was observed (Salvatici et al., 2017).
Slightly better fits to experiment were obtained by using the empirical equations derived by Xue and Kanzaki for a wider range of hydrous silicates and related inorganic materials (yielding 5.5 and 8.0 ppm for the O2 and O3 layer protons).
Firstly, we used the empirical equation between the density and the P-wave velocity difference as the base of the initial model of the Asian lithospheric density.
Thus, for the interpretation of the scattering intensity at vanishing concentration, we used the empirical equations for semiflexible polymer chains with excluded volume interaction derived by Petersen and Schurtenberger (model 3 of reference [ 21]).
