Time between the initiation of the pulse and the first arrival acoustic energy at the receiver

Input(s)

dhd_{h}: Borehole Diameter (in.)

dtd_{t}: Tool Diameter (in.)

LsL_{s}: Spacing (ft)(\mathrm{ft})

lcl_{c}: Displaced Distance (ft)(\mathrm{ft})

v: Formation Compressional Velocity ( μs/ft)\mu \mathrm{s} / \mathrm{ft})

vmv_{m}: Mud Compressional Velocity (μs/ft)(\mu \mathrm{s} / \mathrm{ft})

Output(s)

tlogt_{l o g}: Time Between Initiation of the Pulse and First Arrival Acoustic Energy at the Receiver ( μs/ft\mu \mathrm{s} / \mathrm{ft} )

Formula(s)

tlog=(Lsv)+(dh(dt+2lc)vm)sqrt(1(vmv)2)\mathrm{t}_{\log }=\left(\frac{\mathrm{L}_{\mathrm{s}}}{\mathrm{v}}\right)+\left(\frac{\mathrm{d}_{\mathrm{h}}-\left(\mathrm{d}_{\mathrm{t}}+2 * \mathrm{l}_{\mathrm{c}}\right)}{\mathrm{v}_{\mathrm{m}}}\right) * \operatorname{sqrt}\left(1-\left(\frac{\mathrm{v}_{\mathrm{m}}}{\mathrm{v}}\right)^{2}\right)

Reference(s)

Bassiouni, Z., 1994, Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4. Chapter 10, Page: 189.

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