Beauheim 1987 - Waste Isolation Pilot Plant - U.S. Department of ...

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where: tp* = Vfq, V = total flow produced, bbl qf = final flow rate, bbllhr. (A-25) The modified production time, t,". is substituted for the actual production time, tp, in Eq (A-23), and the analysis proceeds as before. The modified production time can also be used for calculation of buildup type curves for log-log analysis. Dimensionless Horner Plot The dimensionless Horner plot represents a second useful semilog approach to hydraulic-test interpretation. Once type-curve and match-point selections have been made through log-log analysis, this technique allows the single- or double-porosity CDe2S type curves to be superimposed on a normalized semilog plot of the data. Logarithmic dimensionless times for the data are calculated using: r n-1 n-1 1 .I1 j = l J (A-26) where all parameters are as defined above. The dimensionless times calculated using Eq (A-26) are plotted on a linear scale. Dimensionless pressures for the data are calculated using: (A-27) where pD and Ap are the log-log match-point coordinates, and the other parameters are as defined above. Dimensionless pressures are also plotted on a linear scale. The type curves are plotted on the same axes with dimensionless time defined as: 1 n-1 qn-1 - qn log (1 At, + At) - log At lqn-1- qnl qn - qn-1 i=l j=1 and dimensionless pressure defined as: (A-28) (A-29) The dimensionless Horner plot is a very sensitive indicator of inaccuracies in type-curve, match-point, and static-formation-pressure selections (Gringarten. 1986). By iterating between dimensionless Horner and log-log plots, very accurate hydraulic parameters can be obtained. 156
A.2 SLUG-TEST AND DST FLOW-PERIOD DATA ANALYSIS Slug-test and DST flow-period data were analyzed using a method first presented by Cooper et al. (1967) for slug tests, and adapted to DST's by Ramey et al. (1975). The method is used for calculating the transmissivity of a homogeneous, isotropic, confined porous medium of uniform thickness which is fully penetrated by a well. To initiate a slug test. a pressure differential is established between the wellbore and the surrounding formation by shutting in the test interval, swabbing the fluid from the tubing (in the case of a rising-head or slugwithdrawal test) or adding fluid to the tubing (in the case of a falling-head or slug-injection test), and then opening the test interval to the tubing. The problem is described mathematically in radial geometry by the diffusivity equation: a2h 1 ah Sah -++=ar* rar Tat (A-30) where in consistent units: h = hydraulic head differential (at radius r and time t). L r = radius from well center. L t = elapsed time, T S = formation storativity T = formation transmissivity, L2/T. This equation describes nonsteady, radial flow of groundwater. The solution to this equation utilized for analysis of slug-test (or DST flow-period) data is presented in the form of curves of [H/H,] (Figure A-5) and [(H,-H)/H,] (Figure A-6) versus the dimensionless time parameterp for each of several values of a, where in consistent units: p = Tt/r,* (A-31) a = r,2S/rc2 (A-32) and H, = initial (maximum) head differential, L H = head differential at timet, L t = time elapsed since test began. T rs = radius of borehole. L r~ = inside radius of tubing string, L. Plots of the quantities [H/H,] and [ the same scale as the type curves. H,-H)/H,] versus t are made on semilog and log-log paper, respectively, of Semilog plotting and type curves are best used when a minimum of about 157
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SANDIA REPORT SAND87 -0039 UC - 70
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SAND87-0039 Unlimited Release Print
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a transmissivity of about 7 x 10-2
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5 . TEST OBJECTIVES AND INTERPRETAT
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3-18 3-19 3-20 3-21 3-22 3-23 3-24
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5-35 H-l5/Culebra Drillstem and Slu
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5-78 5-79 5-80 5-81 5-82 5-83 5-84
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A-2 A-3 A4 A-5 A-6 Single-Porosity
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'H-6 o DOE-2 OHIPP-13 OAIPP 12 OH-1
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WlPP site. The aggregate thickness
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deep. The gamma-ray log used to gui
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3347.11 ft \ - -12.25-inch HOLE -8.
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~ 3409.6 n __ - - HOLOCENE DEPOSITS
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Ylf M (t -1wt 5 n nch REAMED BOREHO
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3418.96 n 7.875-inch REAMED BOREHOL
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2.375-inch TUBING 4.5-inch. 9.5 Ibl
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WELL CASING 2.375-inch TUBING TEST-
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1.5-Inch GALVANIZED PIPE WELL CASIN
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I I I I PRE-TEST STATIC PRESSURE i/
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(or areal extent) of the aquifer on
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:7001 J EQUILIBRATION / r.. .......
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Once straddle tests proved impossib
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1300 c - J PRE-TEST PRESSURE IN TES
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- < a m L: * m 3 L a I Start Date:
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uildups were caused by the natural
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TABLE 5-1 EFFECTIVE DST FLOW RATES
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TABLE 5-2 SUMMARY OF NON-CULEBRA SI
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simulation shown, however, uses a t
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1 .o 0.9 0.8 p' = 79.08 paig pi = 6
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~ ~~ TABLE 5-3 SUMMARY OF CULEBRA S
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Two factors raised questions about
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102 I I 1 1 1 W K 3 v) v) W K n v)
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5.2.2.21 below) and DOE-2 (Beauheim
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..A 225 - PRESSURE ABOVE TEST INTER
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10' n ui K 3 v) v) W a n v) v) 100
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10' MATCH PARAMETERS O n w a 3 v) v
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..CI__._._..__....__.I 5.2.2.6 H-15
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8.0 1 I I I MATCH PARAMETERS AP 1.0
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- 200 150 5 - EQUILIBRATION \Feu 'S
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4.0 1 I 1 1 3.0 I n 2.0 1 .o 0.0 0.
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1.0 0.9 0.8 0.7 0.6 0 0.5 0.4 0.3 0
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3.0 .hl c El2 2.0 . v n I P 1 .o MA
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EI€3- 0.9 "O I OOATA - TYPE CURVE
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4.0 I I I 3.0 MATCH PARAMETERS AP =
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1 .o 0.9 0.8 0.7 1 MATCH PARAMETERS
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1 .o 0.9 0.8 0.7 0.6 0 2 0.5 I 0.4
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1.0, 0 I 0.9 0.8 0.7 0.6 0.5 0.4 MA
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P-15 was bailed on four occasions i
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1 .o 0.9 0.8 - p’ = 78.93 prig p,
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Two type-curve matches are shown wi
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0 5 I ELAPSED TIME. hours Figure 5-
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10’ 1 I I I n a w 5 100 v) v) W a
Page 106 and 107: MATCH PARAMETERS -ip 10 PSI 150 t 1
Page 108 and 109: Considering that all other pumping
Page 110 and 111: I ,EQUILIBRATION BUILDUP Elapsed Ti
Page 112 and 113: 0 9. w 10’ K =a 100 v) v) W a n v
Page 114 and 115: 10’ I I I a J P 100 v) v) W a n v
Page 116 and 117: ~ ~. SLUG t i /- i 3 Start Date 07
Page 118 and 119: Figure 5-94 is a log-log plot of th
Page 120 and 121: was followed by a 92-minute FBU. Th
Page 122 and 123: 10’ 1 1 1 1 a n w’ a = 100 v) v
Page 124 and 125: and anhydrite, and were not conside
Page 126 and 127: 4.0 MATCH PARAMETERS .A. L. 21% 3.0
Page 128 and 129: Estimates of the static formation p
Page 130 and 131: 10’ n w 2 100 v) v) w a P v) v) w
Page 132 and 133: OWIPP-28. 70 OWIPP-27.650 OWIPP-30.
Page 134 and 135: to Nash Draw where no halite is pre
Page 136 and 137: observations regarding the potentia
Page 138 and 139: 7. SUMMARY AND CONCLUSIONS Single-w
Page 140 and 141: REFERENCES Bachman, G.O. 1984. Regi
Page 142 and 143: INTERA Technologies, Inc. 1986. WlP
Page 144 and 145: Stensrud, W.A.; Bame, M.A.; Lantr,
Page 146 and 147: (A-4)
Page 148 and 149: distinct value of Coe2s. Pressure-d
Page 150 and 151: The wellbore storage coefficient is
Page 152 and 153: where: n = number of normal sets of
Page 154 and 155: (A-21) and for spherical blocks the
Page 158 and 159: Figure A-5. Semilog Slug-Test Type
Page 160 and 161: A.4 INTERPRET WELL-TEST INTERPRETAT
Page 162 and 163: DISTRIBUTION: U. S. Department of E
Page 164 and 165: INTERA Technologies, Inc. (9) 6580
Page 166 and 167: WlPP Public Reading Room Carlsbad M
Page 168 and 169: Nationale Genossenschaft fur die La
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