Limitations on the use of single- and multiple-rate Horner, Miller-Dyes-Hutchinson, and Matthews-Brons-Hazebroek analysis

Conference · Sat Oct 01 04:00:00 EDT 1983 · Soc. Pet. Eng. AIME, Pap.; (United States)

OSTI ID:5365970

Larsen, L

A major objective of this paper is to present methods to determine the range of applicability of Horner and Miller-Dyes-Hutchinson analysis for a variety of reservoir shapes, outer boundary conditions, and producing times. This concerns limitations on the end of semilog data caused by approximations of the drawdown transient, and not limitations on the beginning of such data caused by effects in or near the wellbore. The results, based on derivatives of dimensionless pressures, also have some bearing on the use of drawdown type curves to analyze buildup data. Moreover, they imply that the ''producing time'' used in Horner analysis, or in type-curve analysis based on Agarwal's effective drawdown time, can be limited by t = 0.08 for closed reservoirs. This is important when use of later portions of test data are essential to obtain valid results. Limitations on the use of standard methods to determine the distance to the nearest boundary in closed reservoirs, both for short and long producing times, are also investigated. From an example presented, it is evident that exact doubling of the semilog slope is not necessary to determine this distance, but such doubling simplifies the analysis. This is important since exact doubling only occurs under favorable conditions. Both Horner and Matthews-Brons-Hazebroek analysis have natural extensions from single- to multiple-rate buildup data. This leads to a formula relating the extrapolated pressure to the average reservoir pressure through a sum of Matthews-Brons-Hazebroek functions. Using the results from the first part of the paper, it follows that a single-rate Horner plot can be used if all drawdown transients have lasted longer than t = 0.08, even if a longer producing time is needed to reach pseudosteady state.

• Research Organization: Rogaland Research Inst.
• OSTI ID: 5365970
• Report Number(s): CONF-8310121-
• Conference Information: Journal Name: Soc. Pet. Eng. AIME, Pap.; (United States) Journal Volume: SPE12135
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
020200* -- Petroleum-- Reserves
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& Exploration
03 NATURAL GAS
030200 -- Natural Gas-- Reserves
Geology
& Exploration
BOUNDARY CONDITIONS
CALCULATION METHODS
DATA ANALYSIS
DIAGRAMS
DRAWDOWN
EQUATIONS
FLOW MODELS
FLUIDS
GEOPHYSICAL SURVEYS
GROUND WATER
HYDROGEN COMPOUNDS
MATHEMATICAL MODELS
MATHEMATICS
MWD SYSTEMS
ONE-DIMENSIONAL CALCULATIONS
OXYGEN COMPOUNDS
PRESSURE GRADIENTS
PRODUCTION
RESERVOIR FLUIDS
RESERVOIR PRESSURE
RESERVOIR ROCK
SHAPE
SURVEYS
TIME DEPENDENCE
TIME-SERIES ANALYSIS
TRANSIENTS
WATER
WELL LOGGING
WELLS