Power-law Cement Grout Consistency Coefficient Calculation

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Solution Overview

Problem

Current methods for determining the consistency coefficient of power-law cement grout are time-consuming, resource-intensive, and lack accuracy, failing to effectively consider the comprehensive effect of water-cement ratio and time on rheological properties.

Innovation Solution

A method using the formula c=0.0387ω−6.610e(0.000270+0.000141ω)t to directly calculate the consistency coefficient of power-law cement grout, where ω represents the water-cement ratio and t is the time required, eliminating the need for indoor rheological tests.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If indoor rheological tests are used to obtain the consistency coefficient of power-law cement grout, then the test result can be obtained, but it wastes time, manpower, and resources, and cannot quickly obtain the consistency coefficient

Engineering Contradiction:

Improveconsistency coefficientVSAvoidtime

Core Design Contradiction:

Measurement precisionVSLoss of time

Solution Approach 1:

The patent replaces the mechanical rheological testing system with a mathematical calculation system. By substituting physical testing with theoretical formulas that incorporate water-cement ratio and time parameters, the method eliminates the need for time-consuming indoor rheological tests while obtaining the consistency coefficient through calculation.

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent creates a theoretical model that copies the essential relationships between water-cement ratio, time, and consistency coefficient. Instead of performing physical tests, the method uses mathematical expressions to replicate the rheological behavior, allowing rapid determination of the consistency coefficient without actual material testing.

Inventive Principle:

Principle #26Copying

2Measurement precision

If indoor rheological tests are used to obtain the consistency coefficient of power-law cement grout, then the test result can be obtained, but it consumes manpower and resources

Engineering Contradiction:

Improveconsistency coefficientVSAvoidresources

Core Design Contradiction:

Measurement precisionVSLoss of substance

Solution Approach 1:

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The patent uses simple, easily obtainable parameters (water-cement ratio and time) that require no specialized equipment or consumable materials. These basic parameters can be determined through simple mixing records and timing, replacing the need for expensive rheological testing equipment and consumable test materials.

Inventive Principle:

Principle #27Cheap short-living objects (Disposable)

3Reliability

If Kong Luzhi's method is used to analyze the qualitative change laws of consistency coefficient and apparent viscosity with time, then the individual effects can be studied, but the comprehensive effect of water-cement ratio and time cannot be quantified

Engineering Contradiction:

Improverheological parameter analysisVSAvoidquantitative relationship

Core Design Contradiction:

ReliabilityVSManufacturing precision

Solution Approach 1:

The patent merges the previously separate analyses of water-cement ratio effects and time effects into a unified quantitative model. By combining these factors in a single mathematical expression, the method captures their interactive comprehensive effect on consistency coefficient, providing both reliability in analysis and precision in quantification.

Inventive Principle:

Principle #5Merging (Combining)

Solution Approach 2:

The patent transforms the qualitative analysis of rheological parameter changes into quantitative parameter relationships. By expressing the consistency coefficient as a function of water-cement ratio and time with specific mathematical expressions, the method enables precise calculation and prediction of rheological properties under various conditions.

Inventive Principle:

Principle #35Parameter changes

4Measurement precision

If existing methods are used to determine the consistency coefficient, then a result can be obtained, but the accuracy is not high compared with engineering practice

Engineering Contradiction:

Improveconsistency coefficientVSAvoidengineering practice accuracy

Core Design Contradiction:

Measurement precisionVSReliability

Solution Approach 1:

Inventive Principle:

Principle #35Parameter changes

Data Source

PatentUS11958789B1Method for determining consistency coefficient of power-law cement grout

Publication Date: 2024.04.16 KUNMING UNIV OF SCI & TECH

AI summary

A method for determining a consistency coefficient of a power-law cement grout includes: determining a water-cement ratio of the power-law cement grout; according to engineering practice requirements, determining a time required to determine the consistency coefficient of the power-law cement grout; and obtaining the consistency coefficient of the power-law cement grout. The method is accurate and reliable, requires less calculation, etc.; and has very high practical value and popularization value in environmental protection and ecological restoration.