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T R I P T I M E ( h o u r s )? Trip times may be taken from the IADC tour sheet or may be taken from the Geolograph unit or some other device. ? A chart versus depth must be constructed for each rig for ultimate analyses. TRIP TIME Example ? A bit is run at a depth of 8,000 feet and pulled at a depth of 8,500 feet. How many hours is the trip time for this bit? 05101520.0 5 . 0 1 0 . 0 1 5 . 0 2 0 . 0R O U N D T R I P T I M E DEPTH 1000ftT R I P T I M E ( h o u r s )Trip T=(+)/2= hr From the chart a round trips at 8,000 feet and 8,500 feet require hours and hours, respectively. OPTIMAL WOB RPM ? The purpose of selecting bit weight and rotary speeds are to 1. produce the lowest drilling cost per foot 2. control the direction of the drill hole 3. find overpressured zones 4. satisfy equipment limitations (solids removal, BHA, etc.) 5. develop a satisfactory cuttings description log CONTOUR METHOD ? The method consists of constructing the previous figure in a two dimensional presentation. 35455565758515 25 35 45 55 65SI X I N SE R T B I T SROTARY SPEEDW E I G H T O N B I T ( 1 0 0 0 l b ) 6 $ 3 8 5 $ 4 2 4 $ 4 4 3 $ 4 9 2 $ 5 1 1 $ 3 5 Example ? Six insert bits have been run and their performance and total cost per foot data are listed in the table. BIT ROT. TIME FOOTAGE TCF Hr:Min $/FT 1 58:42 734 2 39:05 360 3 101:21 855 4 62:07 614 5 47:16 517 6 56:33 658 The optimal WOB and RPM are 40,000 lb and 50 rpm ($) 35455565758515 25 35 45 55 65SI X I N SE R T B I T SROTARY SPEEDW E I G H T O N B I T ( 1 0 0 0 l b ) 6 $ 3 8 5 $ 4 2 4 $ 4 4 3 $ 4 9 2 $ 5 1 1 $ 3 5 ANALYTICAL METHOD ? The same procedure could be used for determining optimal WOB, and RPM for the steel tooth, roller bearing bit。 however, an Galle and Woods’ analytical method is available for these bits. DEFINITION OF TERMS BS = Bit diameter。 inch W39。 = Actual weight on bit。 1000 pounds W = Equivalent weight on a 77/8 inch bit。 1000 pounds TT = Trip time。 hrs R = Cost rate of the drilling operation。 $/hrs T = Time。 hrs G = Bit Cost + Trip Cost。 $ TC = Trip cost。 R * TT。 $ D = Fraction of tooth height worn away。 8ths B = Fraction of bearing life consumed。 8ths DT = Down time。 hrs RT = Rotation time。 hrs F =Bit footage。 ft ? Galle and Woods published the following relationships for the rate of tooth wear. 235D .928 6D 1 aN10 N i????? ? )W(log 1359 .1 m 10?TOOTH WEAR A= Correlation coefficient for tooth wear and is called the formation abrasiveness factor amiA1 dTdD ?BS WWactual? ? Integration of the tooth wear equation gives bit rotation time ?? dDaimA RT amiA1 dTdD ? dDaimA dT ? ??? aiA dTTooth wear Equation 32 D .309 D 3 D dDa ???? W O B 10?? W O B 20?? W O B 30?? W O B 40?? W O B 50?? W O B 60??Dj0 . 1 2 50 . 2 50 . 3 7 50 . 50 . 6 2 50 . 7 50 . 8 7 51? RTj 1?41 0 . 31 8 . 9304 3 . 65 9 . 87 8 . 71