Dictionary:Q(Quality)/zh-hans

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1. 品质因子,2π乘以一个周期内最大能量和耗散能量的比值;2π乘以储存功率和耗散功率的比值。岩石的Q值范围为50到300。Q与其它度量吸收的值有如下关系:

$ {\frac {1}{Q}}={\frac {\alpha V}{\pi f}}={\frac {\alpha \lambda }{\pi }}={\frac {hT}{\pi }}={\frac {\delta }{\pi }}={\frac {2\Delta f}{f_{\mathrm {r} }}} $

式中V、f、λ和T分别是速度、频率、波长和周期。吸收系数α是振幅因吸收而随距离指数衰减的项。通常平面谐波的振幅可写成:

$ A\mathrm {e} ^{-\alpha x}\sin 2\pi f(t-{\tfrac {x}{V}}) $

这里x是传播距离,δ是相邻两个周期振幅比的自然对数。上边的表达式将Q与谐振条件的锐度联系起来。fr 是谐振频率,Δf 是使振幅减小 的频率变化。阻尼因子h与振幅衰减和时间的关系为:

$ A(t)=A_{0}\mathrm {e} ^{-ht}\cos \omega t\ $


Absorption terminology. Sometimes this terminology is used for attenuation because of factors other than absorption. E = energy, $ \Delta E $ = energy lost in one cycle, $ \lambda $ = wavelength, f = frequency, x = distance, t = time, $ {\frac {A}{A_{0}}}={\frac {\text{amplitude}}{\text{initial amplitude}}} $, $ {\frac {A_{1}}{A_{2}}}={\frac {\text{amplitude}}{\text{amplitude one cycle later}}} $.[1]

2. 电路的阻抗和电阻的比值。

3. 描述滤波器锐度的项,中点频率与通频带宽度的比值(一般在3dB)。

4. 拉夫波的标志(参见Love waves)。

5. 科尼斯贝格比(参见 Koenigsberger ratio)。

6. 参见Q-type section。


See also


References

  1. Sheriff, R.E., 1989, Geophysical methods, pg. 330: Prentice Hall Inc.


External links

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Q(Quality)/zh-hans