Genetic Algorithm-Wavelet Transform Feature Extraction for Data-Driven Acoustic Resonance Spectroscopy.

Acoustic resonance spectroscopy (ARS) enables highly accurate measurement of the properties (geometry/material) of a structure based on the structure's natural vibrational resonances. In general, measuring a specific property in multibody structures presents a significant challenge due to the complex overlapping peaks within the resonance spectrum. We present a technique for extracting useful features from a complex spectrum by isolating resonance peaks that are sensitive to the measured property and insensitive to other properties (noise peaks). We isolate specific peaks by selecting frequency regions of interest and performing wavelet transformation, where the frequency regions and wavelet scales are tuned via a genetic algorithm. This contrasts greatly from the traditional wavelet transformation/decomposition techniques, which use a large number of wavelets at different scales to represent the signal, including the noise peaks, and results in a large feature size, thus decreasing machine learning (ML) generalizability. We provide a detailed description of the technique and demonstrate the feature extraction technique, for example, regression and classification problems. We observe reductions of 95% and 40% in regression and classification errors, respectively, when using the genetic algorithm/wavelet transform feature extraction, compared to using no feature extraction, or using wavelet decomposition, which is common in optical spectroscopy. The feature extraction has potential to significantly increase the accuracy of spectroscopy measurements based on a wide range of ML techniques. This would have significant implications for ARS, as well as other data-driven methods for other types of spectroscopy, e.g., optical.

A Physics-Based Signal Processing Approach for Noninvasive Ultrasonic Characterization of Multiphase Oil-Water-Gas Flows in a Pipe.

A signal processing technique is presented for determining the composition of multiphase oil-water-gas flow in a pipe using noninvasive ultrasonic speed of sound measurements from a transmitter-receiver pair bonded to diametrically opposite sides of a pipe. A linear chirp excitation is used to send broadband ultrasonic energy that propagates in two paths from transmitter to receiver such as: 1) a wave through the pipe wall and then the multiphase mixture and 2) ultrasonic guided waves along the pipe wall in the circumferential direction. As the ultrasonic attenuation of the multiphase mixture increases, the amplitude of the signal through the fluid mixture decreases relative to that of circumferential guided waves, making it difficult to determine the time of arrival of the fluid-path signal and, hence, the speed of sound in the mixture. The proposed signal processing technique overcomes this challenge by using: 1) a guided wave subtraction approach to suppress the strength of guided wave signals relative to the fluid-path signal and 2) a Gaussian reconstruction approach for synthetic enhancement of the fluid-path signal by output signal reconstruction at frequencies corresponding to peak transmission of ultrasonic energy. The efficacy of the technique is demonstrated using experiments carried out in a field-scale flow loop with varying compositions of oil-water-gas mixtures. It is shown that the proposed approach can enhance the signal detectability by approximately 20 dB in comparison with the traditional approach that does not utilize guided wave subtraction and also improves the gas tolerance of composition measurements up to 20% in gas volume fraction.

A broadband wavelet implementation for rapid ultrasound pulse-echo time-of-flight measurements.

A broadband wavelet approach to ultrasonic pulse-echo time-of-flight measurements is described. The broadband approach significantly reduces the time required for frequency-dependent pulse-echo measurements, enabling studies of dynamic systems ranging from biological systems to solid-state phase transitions. The described broadband approach is demonstrated in parallel with the more traditional frequency stepping approach to perform ultrasound time-of-flight measurements inside a large volume Paris-Edinburgh press in situ at a synchrotron source. The broadband wavelet data acquisition process was found to be 1-2 orders of magnitude faster than the stepped-frequency approach, with no compromise on data quality or determined results.

Ultrasonic Bessel beam generation from radial modes of piezoelectric discs.

We present comprehensive analytical and experimental investigations on ultrasonic Bessel beam generation from radial modes of piezoelectric disc transducers. The Bessel vibration pattern of the radial modes was experimentally measured using Laser Doppler Vibrometry and was found to be in very good agreement with those obtained from numerical simulations. Ultrasonic beam profiles from the first four radial modes of the piezoelectric disc were measured using a hydrophone in a water tank. The results obtained from the experimental scans were compared to the predictions from an analytical model and were found to be in very good agreement. Also, the Bessel beams generated from the radial modes (except the first) of the piezoelectric discs were found to have narrow beam width for the central lobe compared to those from an ideal piston source of same size. The proposed approach of using radial modes for Bessel beam generation finds applications in imaging, acoustic particle manipulation and trapping, and acousto-optics.

High frequency signal acquisition using a smartphone in an undergraduate teaching laboratory: Applications in ultrasonic resonance spectra.

A simple and inexpensive approach to acquiring signals in the megahertz frequency range using a smartphone is described. The approach is general, applicable to electromagnetic as well as acoustic measurements, and makes available to undergraduate teaching laboratories experiments that are traditionally inaccessible due to the expensive equipment that are required. This paper focuses on megahertz range ultrasonic resonance spectra in liquids and solids, although there is virtually no upper limit on frequencies measurable using this technique. Acoustic resonance measurements in water and Fluorinert in a one dimensional (1D) resonant cavity were conducted and used to calculate sound speed. The technique is shown to have a precision and accuracy significantly better than one percent in liquid sound speed. Measurements of 3D resonances in an isotropic solid sphere were also made and used to determine the bulk and shear moduli of the sample. The elastic moduli determined from the solid resonance measurements agreed with those determined using a research grade vector network analyzer to better than 0.5%. The apparatus and measurement technique described can thus make research grade measurements using standardly available laboratory equipment for a cost that is two-to-three orders of magnitude less than the traditional measurement equipment used for these measurements.

The acoustic nonlinearity parameter in Fluorinert up to 381 K and 13.8 MPa.

This work reports on the determination of the acoustic nonlinearity parameter, B/A, from measured sound speed data, in Fluorinert FC-43 at temperatures up to 381 K and pressures up to 13.8 MPa using the thermodynamic method. Sound speed was measured using Swept Frequency Acoustic Interferometry at 11 pressures between ambient and 13.8 MPa along 6 isotherms between ambient and 381 K. Second-order least-squares polynomial fits of measured sound speeds were used to determine temperature and pressure dependence. A room temperature B/A = 11.7 was determined and this parameter was found to increase by a factor of 2.5 over the temperature/pressure range investigated.

Nonlinear frequency mixing in a resonant cavity: numerical simulations in a bubbly liquid.

The study of nonlinear frequency mixing for acoustic standing waves in a resonator cavity is presented. Two high frequencies are mixed in a highly nonlinear bubbly liquid filled cavity that is resonant at the difference frequency. The analysis is carried out through numerical experiments, and both linear and nonlinear regimes are compared. The results show highly efficient generation of the difference frequency at high excitation amplitude. The large acoustic nonlinearity of the bubbly liquid that is responsible for the strong difference-frequency resonance also induces significant enhancement of the parametric frequency mixing effect to generate second harmonic of the difference frequency.

Determination of acoustical nonlinear parameter ß of water using the finite amplitude method.

The acoustic nonlinearity of water is investigated using a variation of the finite amplitude method with harmonic generation. The finite amplitude method provides information on the coefficient of nonlinearity, ß, through the ratio of the amplitude of the fundamental and that of the second harmonic. The pressure of both the fundamental, p1, and that of the second harmonic, p2, are determined experimentally at different transmitter-receiver separation distances, eliminating the need for knowledge of the sound absorption in the medium. It was found that the experimental relationship between the slope of p2(x)/p1(2)(x) and transmitter-receiver separation distance, x, follows a linear relationship only in the near-field, in good agreement with theoretical predictions. A ß of 3.5±0.1 is determined for water at room temperature, in good agreement with previous results from both the isentropic equation of state and finite amplitude method.

An acoustic resonance measurement cell for liquid property determinations up to 250 °C.

This paper reports on the development of a compact, rugged, and portable measurement cell design for the determination of liquid sound speed at temperatures up to 250 °C and pressures up to 3000 psi. Although a significant amount of work exists in the literature on the characterization of fluids, primarily pure water, over a wide range of pressures and temperatures, the availability of experimentally determined sound speed in water between 100 °C and 250 °C is very limited. The need to measure sound speed in liquids up to 250 °C is of both fundamental interest, as in the case of basic equations of state, and applied interest, such as for characterizing geothermal or petroleum downhole environments. The measurement cell reported here represents an advancement in the established room temperature swept frequency acoustic interferometry measurement for liquid sound speed determinations. The paper details the selection of materials suitable for high temperature operation and the construction of the measurement apparatus. Representative sound speeds as a function of temperature and pressure are presented and are shown to be in very good agreement with an internationally accepted standard for water sound speed.

Creating a collimated ultrasound beam in highly attenuating fluids.

We have devised a method, based on a parametric array concept, to create a low-frequency (300-500 kHz) collimated ultrasound beam in fluids highly attenuating to sound. This collimated beam serves as the basis for designing an ultrasound visualization system that can be used in the oil exploration industry for down-hole imaging in drilling fluids. We present the results of two different approaches to generating a collimated beam in three types of highly attenuating drilling mud. In the first approach, the drilling mud itself was used as a nonlinear mixing medium to create a parametric array. However, the short absorption length in mud limits the mixing length and, consequently, the resulting beam is weak and broad. In the second improved approach, the beam generation process was confined to a separate "frequency mixing tube" that contained an acoustically non-linear, low attenuation medium (e.g., water) that allowed establishing a usable parametric array in the mixing tube. A low-frequency collimated beam was thus created prior to its propagation into the drilling fluid. Using the latter technique, the penetration depth of the low frequency ultrasound beam in the drilling fluid was significantly extended. We also present measurements of acoustic nonlinearity in various types of drilling mud.