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

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seventy percent recovery has occurred. For lesser degrees <strong>of</strong> recovery, log-log plotting techniques provide a<br />

more definitive type-curve match (Ramey et al., 1975). The type curves are placed over the test-data plots and<br />

translated horizontally with the horizontal axes coincident until the best possible match between the data and<br />

one <strong>of</strong> the type curves is achieved. In this position an arbitrary match point is chosen, and the corresponding<br />

values <strong>of</strong> a and p are read from the type curve, and t is read from the data plot. The transmissivity (T) is then<br />

calculated from the following rearrangement <strong>of</strong> Eq (A-31), using the coordinates <strong>of</strong> the match point:<br />

(A-33)<br />

The vertically averaged hydraulic conductivity. K, can be calculated from:<br />

K = T/b<br />

(A-34)<br />

where: b = thickness <strong>of</strong> tested interval, L.<br />

When static formation pressures are unknown, they may be approximated from flow-period or slug tests in the<br />

following manner. A log-log plot <strong>of</strong> (H,-H)/H, versus elapsed time is prepared, using a "best-guess" value <strong>of</strong><br />

the static formation pressure to calculate H, and H. At late time, the data should become asymptotic to the<br />

(H,-H)/H, value <strong>of</strong> 1.0. If the data become asymptotic to a lower value, the "best-guess'' static formation<br />

pressureestimate was too high and should be revised downward. If thedataexceed the (H,-H)/H,value <strong>of</strong> 1 .O,<br />

the estimate was too low and should be revised upward. In general, Horner extrapolations <strong>of</strong> buildup data,<br />

when possible, provide greater resolution in estimating static formation pressures than do slug-test<br />

interpretations.<br />

A.3 PRESSURE-PULSE TEST ANALYSIS<br />

Pressure-pulse tests were first described by Bredehoeft and Papadopulos (1980). The solution technique is<br />

very similar to that developed by Cooper et al. (1967) for slug tests. The only difference between the two<br />

methods is that in a slug test the water level changes in a tubing string <strong>of</strong> radius rc, while in a pressure-pulse test<br />

water is only compressed in an isolated interval <strong>of</strong> the borehole. Analytically, the solution technique for<br />

pressure-pulse tests is the same as that derived for slug tests with the rc2 terms in Eqs (A-31). (A-32), and (A-33)<br />

replaced by V,C,pwg/n, where in consistent units:<br />

V, = volume <strong>of</strong> water within the pressurized section <strong>of</strong> the system, L3<br />

C, = compressibility <strong>of</strong> water, LT*/M<br />

p, = density <strong>of</strong> water, M/L3<br />

g = gravitational acceleration, L/T?<br />

With this substitution, and subject to the constraint that a 5 0.1 [see Eq (A-32)], the analysis proceeds as<br />

described above under Section A.2, Slug-Test Analysis.<br />

159

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