Pressure

MMS Annular Seal Energy Analysis Pressure Analysis Spreadsheet Annotation: 1) Change only Bold Red cells 2) Spreadsheet estimates field scale cement annular seal failure by comparing calculated energy application and energy resistance factors with laboratory data. Cement Properties Ten Str Bead 400 Foam 253 Latex 539 Type 1 394 Tens YM 60,000 32,300 53,200 81,600 AS Slope AS Intercept 1.46E-07 3.53E-08 1.08E-07 3.94E-08 6.44E-08 6.28E-08 4.95E-08 7.85E-09 Input Data Geometry Data Hole Dia Pipe OD Pipe ID Cemented Interval Cement Data Cement Formation Density Tensile Strength Young's Modulus Anelastic Strain slope Formation Data Young's Modulus Calculated Data Hole Radius Pipe OR Pipe IR Pipe Steel CS Pipe Internal CS Area Pipe Internal Volume Formation Factor Annular Radius Annular CS Area Annular (Cement) Volume Cement Mass Failure Energy, Lab E1A Lab E1R Lab Applied Energy, Field E1A Field E1R Field Pressure Loading Schedule Pressure Field Scale 10.000 8.500 7.800 1,000 Lab Data 3.000 1.063 0.450 0.333 in in in ft Formation Properties Tens YM Form Factor Hard 2,000,000 1.0000 Intermediate 500,000 0.2500 Soft 200 0.0001 Type 1 Hard 15.6 394 81,600 4.95E-08 15.6 394 81,600 4.95E-08 lb/gal psi psi Lab Data Energy at Failure, in-lbs Hard Bead 162,224 Foam 95,426 Latex 149,501 Type 1 222,660 Int 28,628 54,075 17,813 17,813 Soft 13,360 9,543 6,362 9,543 Density Mass Cmt 12 1.28 12 1.28 15.6 1.67 15.6 1.67 Lab Data Failure Control Curve 2,000,000 2,000,000 psi Multiplier Power 5.000 4.250 3.900 8.961 47.784 573,403.491 1.000 0.750 21.795 261,537.59 17,662.28 1.500 0.531 0.225 0.728 0.159 0.636 1.000 0.969 6.182 24.73 1.67 222,660 275 1,083.29 1.43E+10 452.8 177.97 in in in sq in sq in cu in in sq in cu in lbm in-lb E1A calc 94 141 184 257 264 264 551 1,041 1,838 2,215 3,124 3,299 3500 4000 4500 5000 5500 6000 8.02E-06 2.1304 E1R Fit 0.13 0.31 0.53 1.09 1.16 1.16 5.55 21.52 72.18 107.41 223.55 250.97 284.75 378.45 486.38 608.78 745.84 897.73 in-lb Applications Applied Energy in - lbs 453 178 <-- Fld Data Pt 0.00E+00 0.00E+00 0.00E+00 0.00E+00 1.43E+10 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 E1R vs E1A 1,000 2,000 3,000 4,000 5,000 6,000 7,000 8,000 9,000 10,000 5 - Cement Type Type 1 Formation Type Hard 1,000 900 800 700 600 E1R Lab Data 500 Field Data 400 300 200 100 1,000 2,000 3,000 E1A 4,000 5,000 6,000 7,000 E1R vs E1A 1,000 900 800 700 600 E1R Lab Data Field Data 500 400 300 200 100 1,000 2,000 3,000 E1A 4,000 5,000 6,000 7,000