EOS Model for High Temperature Brine Conductivity

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Solution Overview

Problem

Current reservoir characterization techniques fail to accurately account for high temperature and pressure effects, leading to mischaracterization of reservoir fluids and properties, especially in deeper wells where extreme conditions deviate from ideal behavior.

Innovation Solution

Development of thermodynamic models and Equation of State (EOS) models that account for high temperature and pressure effects on brine properties, including molecular interactions, solubility, and ion pairing, to accurately calculate and estimate reservoir properties, incorporating empirical relationships and data from laboratory and downhole measurements.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional resistivity modeling techniques are used, then the model is simple and easy to operate, but the measurement precision deteriorates under high temperature and pressure conditions

Engineering Contradiction:
Improveconductivity measurement accuracyVSAvoidmodel complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent modifies the Archie equation by introducing temperature-dependent parameters (α, m, n) that change with reservoir conditions. The formation resistivity factor F is expressed as a function of porosity Φ and saturation Sw with temperature-varying coefficients, allowing the model to adapt to high temperature and pressure environments while maintaining the basic Archie equation structure.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent introduces an intermediate Equation of State (EOS) model that bridges the relationship between temperature, pressure, and brine properties. The EOS model serves as a mediator to calculate temperature-corrected brine resistivity Rw(T) and other fluid properties, which are then used in the modified Archie equation to achieve accurate conductivity predictions under extreme conditions.

Inventive Principle:
Principle #24Intermediary (Mediator)

2Reliability

If Archie equation is used for reservoir characterization, then the method is simple and widely applicable, but the reliability deteriorates when high temperature and pressure effects are not accounted for

Engineering Contradiction:
Improvereservoir characterization accuracyVSAvoidmodel complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent transforms the conventional Archie equation into a temperature-adaptive model by making the formation resistivity factor F and brine resistivity Rw as functions of temperature T. The modified equation F(Φ,Sw,T) = α(T)·Φ^(-m(T))·Sw^(-n(T)) allows parameters to vary with temperature, significantly improving reliability for deep reservoirs while maintaining the practical applicability of the Archie framework.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent performs preliminary calculations of temperature-dependent brine properties using the Equation of State model before applying the modified Archie equation. By pre-calculating Rw(T), density, and other fluid properties at reservoir conditions, the method ensures reliable reservoir characterization without requiring complex real-time computations during well logging or production monitoring.

Inventive Principle:
Principle #10Preliminary action

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

These models enable more accurate characterization of reservoirs and fluids, improving hydrocarbon content prediction and production efficiency by accounting for non-ideal behavior at extreme conditions, reducing errors in conductivity and resistivity measurements.

Implementation Method 1

the EOS model accounting for a high temperature effect on the brine

Methodology Applied
Scientific EffectHigh temperature effect on brine:

Implementation Method 2

accounting for a high pressure effect on the brine

Methodology Applied
Scientific EffectHigh pressure effect on brine:

Implementation Method 3

measurements of electrical resistivity, or its inverse, electrical conductivity, to infer the character of the fluid content within the pore spaces

Methodology Applied
Scientific EffectElectrical conductivity: Conduction (electrical)

Data Source

PatentUS9535187B2Device and method to determine conductivity for high pressure-high temperature service
Publication Date: 2017.01.03 SCHLUMBERGER TECH CORP
  • US9535187B2 patent drawing
  • US9535187B2 patent drawing
  • US9535187B2 patent drawing

AI summary

A method for characterizing one or more properties of a geological formation including brine, the method including inputting at least one first property of the geological formation into an equation of state (EOS) model, the EOS model accounting for a high temperature effect on the brine; solving the EOS model to determine at least one second property of the geological formation; and outputting the at least one second property to a display device.