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The calculation algorithm of   Logarithmic Derivative uses the weighted slopes

LaTeX Math Inline
body\Delta P/\Delta X
of the pressure change versus change in time:

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where 

LaTeX Math Inline
body--uriencoded--\Delta \%5e%7BP_1%7D = P_j - P_%7Bm%7D
, 
LaTeX Math Inline
body--uriencoded--\Delta \%5e%7BP_2%7D = P_%7Bn%7D - P_j
,  
LaTeX Math Inline
body--uriencoded--\Delta \%5e%7BX_1%7D = X_j - X_%7Bm%7D
, 
LaTeX Math Inline
body--uriencoded--\Delta \%5e%7BX_2%7D = X_%7Bn%7D - X_%7Bj%7D
. In practice, it is recommended to choose L between 0 and 0.5.

Fig. 1 – – Calculation scheme for logarithmic derivative subject to L-spacing.


See also

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