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 35. The slope of the wadati plot obtained using P-wave and S-wave arrival times for an earthquake is 0.77. What will be the corresponding $\frac{V_{p}}{V_s}$ ratio?

(Thanks to Pragnath, AU)

Solution:

 

$t_{s}-t_{p}=D\left(\frac{V_{p}}{V_s}-1 \right)$

 

This wadati equation is similar to straight line equation.

 

$slope=\left(\frac{V_{p}}{V_s}-1 \right)$

 

$\left(\frac{V_{p}}{V_s}-1 \right)=0.77$

 

$\left(\frac{V_{p}}{V_s} \right)=1+0.77$

 

$\left(\frac{V_{p}}{V_s}\right)=1.77$

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3 comments

  1. can you give me the straight line equation which you compared for the slope.

    As of i know the slope of the straight line equation is m=(y2-y2/x2-x1), is there any other equation related to the wadati equation relates the straight line?

    ReplyDelete
    Replies
    1. Please refer this below link, for more information.
      https://gfzpublic.gfz-potsdam.de/rest/items/item_43361_4/component/file_56133/content

      Delete
  2. Compare the above equation with, y=mx+c.

    ReplyDelete

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