Statistical study of reservoir permeability distributions

Thesis/Dissertation · Wed Jan 01 04:00:00 EST 1986

OSTI ID:7052560

Jensen, J L

A framework is proposed that delimits the range of possible probability density functions (p.d.f.'s) for permeability. Based on two models, the bulk permeability k/sub t/ is proposed to have a p.d.f. such that (k/sub t/)/sup p/ is approximately normally distributed for -1 less than or equal to p less than or equal to +1. The log-normal p.d.f. obtains for p = 0. The framework is validated in three ways: (1) the proposal is shown to be self consistent in that combinations of the two models give bulk permeabilities with p.d.f.'s for which -1 less than or equal to p less than or equal to +1; (2) the exponent estimate p varies between -0.3 and +1.0 for six data sets; and (3) the behavior of several data sets investigated by others is explained by the framework. Intersample correlation does not influence p for the cases analyzed. A knowledge of p for a data set is shown to be useful when estimating average permeabilities and when developing correlations to predict permeability. The behavior of conventional heterogeneity measures with p is studied. A heterogeneity measure which is twice as efficient as the Dykstra-Parsons coefficient is proposed.

• Research Organization: Texas Univ., Austin (USA)
• OSTI ID: 7052560
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
020300* -- Petroleum-- Drilling & Production
CALCULATION METHODS
DISTRIBUTION
ENGINEERING
FORECASTING
GEOLOGIC DEPOSITS
HETEROGENEOUS EFFECTS
MATHEMATICAL MODELS
MINERAL RESOURCES
PERMEABILITY
PETROLEUM DEPOSITS
RESERVOIR ENGINEERING
RESOURCES