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.: <br />TECHNOLOGY <br />O ~ ~ ~!-• Gas ...:7ot,t.ma2 S <br />v. Rio L O~c.9?~ ; P .9~- 9 . <br />- ~a~. <br /> <br /> <br />formation strength <br />Nathan Stein Sans Co. Boston <br />set of equations helps <br />improve the reliability <br />of using acoustical <br />wave velocity (dynamic) <br />data to obtain quick, accept- <br />able estimates for the Mohr- <br />Coulomb (static) strengths of <br />different types of rock. <br />Good estimates of forma- <br />tion strength from offset <br />well sonic log data tan help <br />in the planning of bit pro- <br />grams and well stimulation <br />procedures. <br />Dynamic shear modulus <br />values were calculated from <br />Mohr-Coulomb strength <br />plots for five limestone sam- <br />ples. <br />Care must be exercised in <br />applying this method with <br />log data. The terminal stress <br />decreases as rock strength <br />increases. The true vertical <br />stress should be used in the <br />calculations until the ternil- <br />na] vertical stress is exceed- <br />ed. <br />If the field-measured <br />stress conditions exceed <br />6,300 psi for friable sands, <br />1,500 psi for well-cemented <br />sands, and 500 psi for Ifine- <br />stones, then the calculations <br />should be based on the ter- <br />minal stress values rather <br />than true stress. <br />The use of sonic Log data <br />to estimate rock strength has <br />hvo pluses: <br />•The measurements re- <br />late to the in situ strength of <br />undamaged rock. <br />• Strength sun~eys can be <br />Fig I <br />made quickl}' and inexpen- <br />sively rf the measurements <br />can be properly converted to <br />standard strength values. <br />Preciously available meth- <br />ods for using sonic data to <br />predict the standard- <br />strength values of rock may <br />be unreliable. <br />The calculation procedure <br />presented in this article uses <br />the results of theoretical ana- <br />lyses of laboratory rock <br />strength tests and acoustical <br />wave velocin• data to im- <br />prove the reliability of using <br />sonic log data. <br />The traditional Mohr-Cou- <br />lonabstrength plots for rocks <br />can be related to sonic data <br />obtained either in the labora- <br />tor}~ or from sonic logs. <br />Acoustical wave velocity <br />6Vyllie, et al., measured <br />compressional acoustic wave <br />velocity values for different <br />rock samples over a wride <br />range of applied stresses.[ <br />One of the objectives was to <br />determine how to use acous- <br />tical wave velodty log data <br />to calculate the porosity of <br />formations penetrated by a <br />N'e Q. <br />1V}'Ilie developed atime- ; <br />average equation which <br />seemed to be most accurate <br />rchen there was sufficient <br />stress applied to the rock <br />sample to reach anear-con- <br />stant velocity value, called <br />the terminal velodh~ (Fig. 1). <br />[n Fig. 1, note the initial ~ <br />Fig. 2 <br />I <br /> <br /> • <br />- Slope = modulus ~ - - <br />, ~ ~~ <br />y <br /> <br />-' ~ <br />Peak ~=strength <br />'• ~°° - - <br />• <br />~ ~. <br /> .. <br />°: :i: <br /> <br /> tr <br /> <br /> . <br /> ° <br /> S~ - ~ <br /> ~~$lrain ~ ; ~ - <br /> <br /> J <br />III IIIIIIIIIIIIIIII <br />N• <br />e <br />E <br />G <br />K <br />R <br />R <br />R <br />B <br />a <br />n <br />b <br />0 <br />0 <br />r. <br />rela' <br />h' <br />dtre <br />T: <br />con <br />for <br />1:~ <br />i .} <br />". <br />I -' <br />I. <br />96' GildG~s JOUrral•Dd: 29 t99] t --~ <br />