Cased Hole Stress Estimation via Sonic Dispersion Analysis

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Solution Overview

Problem

Current methods face challenges in accurately estimating changes in subterranean formation stresses caused by reservoir depletion or injection using time-lapse borehole sonic data, particularly in cased holes, due to complexities in processing sonic data and accounting for factors like cement bonding quality and fluid mobility.

Innovation Solution

A method involving the collection of baseline and subsequent sonic data, calculation of cased hole Stoneley and cross-dipole dispersions, estimation of minimum and maximum horizontal stress magnitudes, and calculation of pressure, which utilizes inversion algorithms to transform sonic data into formation stress changes, accounting for fluid mobility and structural anisotropy effects.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Adaptability or versatility

If sonic data is processed in cased holes to estimate formation stress parameters, then stress estimation can be performed in production wells, but the processing becomes more challenging due to cement bonding quality and fluid mobility effects

Engineering Contradiction:
Improveapplicability to cased holesVSAvoidprocessing complexity
Core Design Contradiction:
Adaptability or versatilityVSDevice complexity

Solution Approach 1:

The patent segments the complex cased-hole sonic data processing into distinct components: (1) measuring Stoneley and dipole dispersions, (2) estimating shear moduli from each dispersion type, (3) calculating stress parameters from the shear moduli. This segmentation allows each component to be handled separately, reducing overall processing complexity while maintaining applicability to cased holes.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent introduces shear modulus estimation as an intermediary step between raw sonic data measurement and final stress parameter calculation. By first estimating shear moduli from Stoneley and dipole dispersions, the method creates intermediate parameters that simplify the final stress calculation, thereby reducing processing complexity.

Inventive Principle:
Principle #24Intermediary (Mediator)

2Measurement precision

If inversion algorithms are used to transform sonic data into formation stress changes, then stress estimation accuracy is improved, but the processing complexity increases

Engineering Contradiction:
Improvestress estimation accuracyVSAvoidalgorithm complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent replaces complex full-waveform inversion algorithms with a simplified mechanical approach based on dispersion analysis. By measuring Stoneley and dipole dispersions and using established relationships between dispersion characteristics and shear moduli, the method achieves accurate stress estimation without requiring computationally intensive inversion algorithms.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent changes the parameter space from direct stress estimation to shear modulus estimation via dispersion analysis. By transforming the problem into estimating shear moduli from measurable dispersion parameters first, then calculating stresses from these moduli, the method achieves accuracy while reducing algorithmic complexity.

Inventive Principle:
Principle #35Parameter changes

3Reliability

If multiple dispersion types are calculated from baseline and subsequent sonic data, then stress estimation reliability is improved, but the processing time increases

Engineering Contradiction:
Improvestress estimation reliabilityVSAvoidprocessing time
Core Design Contradiction:
ReliabilityVSLoss of time

Solution Approach 1:

The patent performs preliminary estimation of shear moduli from Stoneley and dipole dispersions before calculating final stress parameters. This preliminary action allows the use of established relationships between dispersion characteristics and shear moduli, reducing the computational burden of the final stress calculation and overall processing time.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The method uses the measured dispersion data itself to directly estimate shear moduli without requiring additional external data or complex iterative processes. The Stoneley and dipole dispersions self-containedly provide the information needed to calculate shear moduli and subsequent stress parameters, reducing processing time.

Inventive Principle:
Principle #25Self-service

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

This approach enables reliable estimation of formation stress changes, helping to maintain reservoir integrity and prevent unwanted fractures by accurately monitoring pressure and stress changes, thereby reducing the risk of CO2 leakage.

Implementation Method 1

A standard sonic measurement system consists of placing a piezoelectric source and an array of hydrophone receivers inside a fluid-filled borehole

Methodology Applied
Scientific EffectPiezoelectric effect: Piezoelectric Effect

Implementation Method 2

A logging device that has been used to obtain and analyze sonic logging measurements of formations surrounding an earth borehole... Parameters of compressional, shear and Stoneley waves, such as their velocity

Methodology Applied
Scientific EffectAcoustic wave propagation: Sound

Implementation Method 3

The headwaves are caused by the coupling of the transmitted acoustic energy to plane waves in the formation that propagate along the borehole axis. An incident compressional wave in the borehole fluid produces critically refracted compressional waves in the formation

Methodology Applied
Scientific EffectCritical refraction: Refraction

Implementation Method 4

In contrast, a dipole source primarily excites the lowest-order flexural borehole mode together with compressional and shear headwaves

Methodology Applied
Scientific EffectFlexural wave propagation: Vibration

Data Source

PatentUS9176250B2Estimation of depletion or injection induced reservoir stresses using time-lapse sonic data in cased holes
Publication Date: 2015.11.03 SCHLUMBERGER TECH CORP
  • US9176250B2 patent drawing
  • US9176250B2 patent drawing
  • US9176250B2 patent drawing

AI summary

An apparatus and a method for recovering hydrocarbons from a subterranean formation including collecting baseline and subsequent sonic data. Either open or cased hole Stoneley and cross dipole dispersions are calculated using the baseline and subsequent sonic data, the minimum and maximum horizontal stress magnitudes are calculated using the calculating dispersions, a pressure is calculated and hydrocarbons are recovered.