Erratum,Geophysical Prospecting

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Erratum
Geophysical Prospecting ( IF 1.8 ) Pub Date : 2021-06-14 , DOI: 10.1111/1365-2478.13087

In Wang, Lu and Zhang (2021), the following errors were found on pages 351, 354 and 355.

On page 351, Equation (4) currently read:

\begin{matrix} u_{q P} = p_{x} \sin v + p_{z} \cos v, \\ u_{q S V} = - p_{x} \cos v + p_{z} \sin ν, \end{matrix}

(4)

This should be:

\begin{matrix} u_{q P} = u_{x} \sin ν + u_{z} \cos ν, \\ u_{q S V} = - u_{x} \cos ν + u_{z} \sin ν, \end{matrix}

(4)

On page 354, a coefficient is missing from the root symbol of Equation (7) and currently read:

\begin{matrix} v_{q P} (θ) = V_{P 0} \\ \sqrt{1 + ε \sin^{2} θ + \frac{f}{2} [\sqrt{{(1 + \frac{2 ε \sin^{2} θ}{f})}^{2} - \frac{2 (ε - δ) \sin^{2} θ}{f}} - 1]}, \\ v_{q S V} (θ) = V_{P 0} \\ \sqrt{1 + ε \sin^{2} θ - \frac{f}{2} [\sqrt{{(1 + \frac{2 ε \sin^{2} θ}{f})}^{2} - \frac{2 (ε - δ) \sin^{2} θ}{f}} + 1] .} \end{matrix}

(7)

This should be:

\begin{matrix} v_{q P} (θ) = V_{P 0} \\ \times \sqrt{1 + ε \sin^{2} θ + \frac{f}{2} [\sqrt{{(1 + \frac{2 ε \sin^{2} θ}{f})}^{2} - \frac{2 (ε - δ) \sin^{2} 2 θ}{f}} - 1]}, \\ v_{q S V} (θ) = V_{P 0} \\ \times \sqrt{1 + ε \sin^{2} θ - \frac{f}{2} [\sqrt{{(1 + \frac{2 ε \sin^{2} θ}{f})}^{2} - \frac{2 (ε - δ) \sin^{2} 2 θ}{f}} + 1] .} \end{matrix}

(7)

On page 355, the sentences after Equation (10) currently read:

Although equations (9) and (10) are equivalent to equations (7) and (8), the latter two avoid repetitive operations. If we can obtain the values of (c₁₃ + c₄₄) sin $θ$ cos $θ$ and [(c₁₁ − c₄₄) sin² $θ$ − (c₃₃ − c₄₄) cos² $θ$ ], the remaining computation is little. Figure 2 shows the change in the polarization angle concerning the phase angle for the qP-wave case with V_S0 / V_P0 = 0.6 and Thomsen parameters $ε$ = 0.3, $δ$ = 0.1. The group angle, which indicates the direction of the group velocity, is also plotted in the figure to show its diffeence from the phase angle.

This should be:

Although equations (9) and (10) are equivalent to equations (7) and (8), the latter two avoid repetitive operations. If we can obtain the values of (c₁₃ + c₅₅)sin $θ$ cos $θ$ and [(c₁₁ − c₅₅)sin² $θ$ − (c₃₃ − c₅₅)cos² $θ$ ], the remaining computation is little. Figure 2 shows the change in the polarization angle concerning the phase angle for the qP-wave case with V_S0 / V_P0 = 0.6 and Thomsen parameters $ε$ = 0.3, $δ$ = 0.1. The group angle, which indicates the direction of the group velocity, is also plotted in the figure to show its diffeence from the phase angle.

We apologize for these errors.

中文翻译：

勘误表

在 Wang, Lu and Zhang ( 2021 ) 中，在第 351、354 和 355 页上发现了以下错误。

在第 351 页，等式 (4) 当前为：

\begin{matrix} 你_{q 磷} = 磷_{X} 罪 v + 磷_{z} \cos v, \\ 你_{q 秒 伏} = - 磷_{X} \cos v + 磷_{z} 罪 ν, \end{matrix}

(4)

这应该是：

\begin{matrix} 你_{q 磷} = 你_{X} 罪 ν + 你_{z} \cos ν, \\ 你_{q 秒 伏} = - 你_{X} \cos ν + 你_{z} 罪 ν, \end{matrix}

(4)

在第 354 页，方程 (7) 的根符号中缺少一个系数，当前为：

\begin{matrix} v_{q 磷} (θ) = 伏_{磷 0} \\ \sqrt{1 + ε 罪^{2} θ + \frac{F}{2} [\sqrt{{(1 + \frac{2 ε 罪^{2} θ}{F})}^{2} - \frac{2 (ε - δ) 罪^{2} θ}{F}} - 1]}, \\ v_{q 秒 伏} (θ) = 伏_{磷 0} \\ \sqrt{1 + ε 罪^{2} θ - \frac{F}{2} [\sqrt{{(1 + \frac{2 ε 罪^{2} θ}{F})}^{2} - \frac{2 (ε - δ) 罪^{2} θ}{F}} + 1] .} \end{matrix}

(7)

这应该是：

\begin{matrix} v_{q 磷} (θ) = 伏_{磷 0} \\ \times \sqrt{1 + ε 罪^{2} θ + \frac{F}{2} [\sqrt{{(1 + \frac{2 ε 罪^{2} θ}{F})}^{2} - \frac{2 (ε - δ) 罪^{2} 2 θ}{F}} - 1]}, \\ v_{q 秒 伏} (θ) = 伏_{磷 0} \\ \times \sqrt{1 + ε 罪^{2} θ - \frac{F}{2} [\sqrt{{(1 + \frac{2 ε 罪^{2} θ}{F})}^{2} - \frac{2 (ε - δ) 罪^{2} 2 θ}{F}} + 1] .} \end{matrix}

(7)

在第 355 页上，方程（10）后面的句子当前为：

虽然等式（9）和（10）等价于等式（7）和（8），但后两者避免了重复操作。如果我们可以得到 ( c ₁₃ + c ₄₄ ) sin 的值 $θ$ cos $θ$ 和 [( c ₁₁ − c ₄₄ ) sin ² $θ$ − ( c ₃₃ − c ₄₄ ) cos ² $θ$ ]，剩下的计算量很小。图 2 显示了在V _S0 / V _P0 = 0.6 和 Thomsen 参数的 qP 波情况下，偏振角随相位角的变化 $ε$ = 0.3, $δ$ = 0.1。群角表示群速度的方向，图中也绘出了它与相位角的区别。

这应该是：

虽然等式（9）和（10）等价于等式（7）和（8），但后两者避免了重复操作。如果我们可以得到 ( c ₁₃ + c ₅₅ )sin 的值 $θ$ cos $θ$ 和 [( c ₁₁ − c ₅₅ )sin ² $θ$ − ( c ₃₃ − c ₅₅ )cos ² $θ$ ]，剩下的计算量很小。图 2 显示了在V _S0 / V _P0 = 0.6 和 Thomsen 参数的 qP 波情况下，偏振角随相位角的变化 $ε$ = 0.3, $δ$ = 0.1。群角表示群速度的方向，图中也绘出了它与相位角的区别。

对于这些错误，我们深表歉意。

更新日期：2021-06-14

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