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

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(A-21) and for spherical blocks they give: (A-22) where: y exponential of Euler’s constant (=1.7, I). Moench (1984) provides an extensive discussion on the effects of matrix geometry on unrestricted interporosity flow. Manual double-porosity type-curve matching with unrestricted-interporosity-flow transition curves is performed in exactly the same manner as with restricted-interporosity-flow transition curves, described above. 154
The same equations are used to derive the fracture and matrix parameters, except that the matrix geometry must now be known or assumed to obtain the interporosity flow coefficient, A, from rearrangement of Eq (A-21) or (A-22). A.1.3 Semilog Analysis Two semilog plotting techniques were employed in this report to interpret pumping-test and DST-buildup data. These techniques produce a Horner plot and a dimensionless Horner plot. Horner Plot Horner (1951) provided a method of obtaining permeability and static formation pressure values independent of log-log type-curve matching, although the two methods are best used in conjunction. Horner's method applies to the buildup (recovery) of the pressure after a constant-rate flow period in a well that fully penetrates a homogeneous, isotropic, horizontal, infinite, confined reservoir. For a recovery after a single flow period, Horner's solution is: where: p(t1 = p* - 162.6qBp kh log 15.4 p(t) = pressure at timet, psi p' = static formation pressure, psi t, = duration of previous flow period, hr dt = time elapsed since end of flow period. hr (A-23) and other terms areas defined above under Eq (A-4). For a recovery after multiple flow periods, the time groi in Eq (A-23) is replaced by the superposition function given in the right-hand side of Eq (A-7). P The permeability-thickness product (kh) is obtained by (1) plotting p(t) versus log [(t, + dt)/dt] (or the superposition function), (2) drawing a straight line through the data determined from the log-log pressurederivative plot to be representative of infinite-acting radial flow, and (3) measuring the change in p(t) on this line over one log cycle of time (m). Equation (A-23) can then be rearranged and reduced to: kh = 162.6 qBp/m. (A-24) Static formation pressure is estimated by extrapolating the radial-flow straight line to the pressure axis where log [(t, + dt)/dt] = 1, representing infinite recovery time. In the absence of reservoir boundaries, the pressure intercept at that time should equal the static formation pressure. Horner (1951) also suggested a modification of his method for the case where the flow rate was not held constant. This modification was later theoretically verified for the case of constant-pressure, variable-rate production by Ehlig-Economides (1979). The modification entails calculating a modified production time: 155
Page 1 and 2:
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-
Page 104 and 105: 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 156 and 157: where: tp* = Vfq, V = total flow pr
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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