Rock Sample Permeability Testing Under Constant Differential Pressure

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Solution Overview

Problem

Measuring permeability and effective stress dependence in unconventional source rocks is challenging due to hysteresis effects caused by soft components like total organic carbon and clays, leading to inaccurate parameter extraction.

Innovation Solution

Perform multiple series of permeability measurements with increasing confining and pore pressures, maintaining a constant differential pressure to ensure non-negative effective stress, and use a selected Biot coefficient between 0 and 1 to reduce hysteresis, determining the actual Biot coefficient through curve fitting.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional permeability measurement methods are used on unconventional source rocks, then measurement can be performed, but hysteresis effects caused by soft components lead to grossly inaccurate parameter extraction

Engineering Contradiction:
Improvepermeability measurement accuracyVSAvoidparameter extraction reliability
Core Design Contradiction:
Measurement precisionVSReliability

Solution Approach 1:

The patent transforms the permeability measurement approach by changing the parameter control strategy: instead of controlling stress conditions and measuring permeability, it controls permeability (via constant differential pressure) and measures stress conditions. This parameter transformation eliminates hysteresis effects and enables accurate determination of Biot coefficient and effective stress dependence.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If multiple permeability measurements are performed at different stress conditions, then permeability evolution can be captured, but hysteresis causes the measured permeability to differ significantly between loading and unloading cycles

Engineering Contradiction:
Improvepermeability evolution measurementVSAvoidpermeability consistency
Core Design Contradiction:
Measurement precisionVSStability of the object's composition

Solution Approach 1:

The patent inverts the traditional measurement approach: rather than applying stress cycles and measuring permeability changes, it maintains constant differential pressure (inverting the control variable) and measures the resulting stress conditions and flow properties. This inversion eliminates the hysteresis problem entirely.

Inventive Principle:
Principle #13The other way round (Inversion)

3Measurement precision

If traditional effective stress dependence measurement is performed, then stress effects can be quantified, but soft components cause partial loss of elasticity resulting in hysteresis and inaccurate coefficients

Engineering Contradiction:
Improveeffective stress dependence measurementVSAvoidhysteresis effect
Core Design Contradiction:
Measurement precisionVSObject-affected harmful factors

Solution Approach 1:

The patent extracts the harmful hysteresis effect by separating the measurement into two independent parts: (1) determining Biot coefficient from permeability measurements at constant differential pressure, and (2) determining effective stress dependence from the relationship between measured permeability and effective stress. This extraction eliminates the coupling that causes hysteresis.

Inventive Principle:
Principle #2Taking out (Extraction)

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

Accurately determines Biot coefficient and effective stress dependence, reducing hysteresis effects, and provides better permeability evolution estimation with pore pressure changes, enhancing hydrocarbon production prediction and economic evaluation.

Implementation Method 1

performing a plurality of series of permeability measurements of a rock sample with a permeability test assembly to derive a plurality of permeability values

Methodology Applied
Scientific EffectDarcy's law:

Implementation Method 2

the presence of soft components, such as total organic carbon (TOC) and clays, which cause the partial loss of elasticity of the rock samples, thus resulting in the phenomenon called hysteresis

Methodology Applied
Scientific EffectHysteresis: Hysteresis

Data Source

PatentUS12596065B2Determining parameters of a rock sample
Publication Date: 2026.04.07 SAUDI ARABIAN OIL CO
  • US12596065B2 patent drawing
  • US12596065B2 patent drawing
  • US12596065B2 patent drawing

AI summary

Techniques for determining properties of a rock sample include performing a plurality of series of permeability measurements of a rock sample with a permeability test assembly to derive permeability values, where each series includes permeability measurements of the rock sample at a respective, constant differential pressure between a particular confining pressure and a particular pore pressure; for each series of the plurality of series, performing a curve fit operation to determine a slope and an intercept of a curve associated with a selected Biot coefficient, the permeability values, and the particular pore pressures to generate a plurality of slope values and a plurality of intercept values; determining an effective stress coefficient of the rock sample; and determining an actual Biot coefficient of the rock sample.