Multiphase Volume Fraction Measurement Using Electrical Dispersion
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Solution Overview
Problem
Existing methods for determining the volume fraction of phases in a multiphase medium are sensitive to changes in the electrical properties of the phases, leading to unreliable results due to variations in the first electrical parameter.
Innovation Solution
The method utilizes a statistical measure of dispersion, such as standard deviation, of the first electrical parameter to determine the volume fraction, independent of the absolute values of the electrical parameter, by establishing a mathematical relationship between the dispersion and the volume fraction, allowing for insensitivity to material property changes.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the volume fraction is determined using direct electrical parameter values, then the measurement method is simple, but the reliability of the result deteriorates when phase properties change
Solution Approach 1:
The patent transforms the measurement approach from using absolute electrical parameter values to using statistical dispersion characteristics (standard deviation) of these values. By changing the parameter from absolute value to dispersion measure, the system achieves reliability independent of phase property changes while maintaining measurement simplicity through standardized statistical processing.
Solution Approach 2:
The patent introduces statistical dispersion (standard deviation) as an intermediary parameter between the raw electrical measurements and the volume fraction calculation. This intermediary transforms the direct dependency on absolute electrical values into an indirect relationship through dispersion characteristics, eliminating sensitivity to phase property variations.
2Reliability
If multiple electrical excitation signals are applied to determine statistical dispersion, then the reliability of volume fraction determination improves, but the measurement time increases
Solution Approach 1:
The patent employs periodic application of multiple electrical excitation signals to measure the statistical dispersion of electrical parameters. By using periodic measurements rather than continuous monitoring, the system captures sufficient data points to calculate standard deviation while minimizing total measurement time. The periodic nature allows for efficient data collection across different excitation conditions.
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 provides a reliable and less sensitive method for determining phase proportions in multiphase media, reducing dependence on direct electrical parameter values and enhancing measurement accuracy by using statistical dispersion measures.
Implementation Method 1
the medium has a first phase with a first value for a first electrical parameter and at least temporarily a second phase with a second value for the first electrical parameter
Data Source
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AI summary
Described and illustrated is a method (1) for determining the volume fraction (V%) of a phase of a multiphase medium (M), wherein the medium (M) has a first phase (P1) with a first value (E1) for a first electrical parameter (E) and at least temporarily a second phase (P2) with a second value (E2) for the first electrical parameter, wherein the medium (M) is subjected to a plurality of electrical excitation signals via an electrode pair (3) and a plurality of corresponding electrical response signals are recorded for the electrical excitation signals, wherein a plurality of values (En) for the first electrical parameter (E) of the medium (M) are determined from the plurality of excitation signals and the plurality of response signals. The volume fraction (V%_P2) of the second phase (P2) in the medium (M) is determined.by determining a dispersion value (S(En)) of a statistical measure of dispersion (S) from the majority of determined values (En) for the first electrical parameter (E) of the medium (M), and by determining the volume fraction (V%_P2) of the second phase (P2) in the medium (M) using a mathematical relationship (f) between the statistical measure of dispersion (S) of the first electrical parameter (E) and a volume fraction (V%_P2) of the second phase (P2) in the medium (M) with the determined dispersion value (S(En)) of the first electrical parameter (E).