Cubic spline interpolation for petroleum engineering data

Karim, Samsul Ariffin Abdul; Rosli, Muhammad Aizuddin Mohd; Mustafa, Muhammad Izzatullah Mohd

doi:10.12988/ams.2014.44284

Cited by 8 publications

(5 citation statements)

References 8 publications

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“…All data cleaning, including start and end time adjustment and individual point cleaning, is noted in Appendix B in Rainville et al (2022), and the cleaning notes are stored in the metadata of each netCDF and in the GitHub repository that contains all processing code (https://github.com/SASlabgroup/DUNEXMainExp). The IMU data is then despiked using a piecewise cubic Hermite interpolating polynomial (PCHIP) function, a shape-preserving interpolation scheme used to reduce overshoot oscillations and maintain continuity (Karim et al, 2014). Points with a value greater than four scaled median absolute deviations from the median are considered outliers and replaced using the PCHIP method.…”

Section: Data Levels and Data Processingmentioning

confidence: 99%

Measurements of Nearshore Waves through Coherent Arrays of Free-Drifting Wave Buoys

Rainville

Thomson

Moulton

et al. 2023

Preprint

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Abstract. Along coastlines, surface gravity wave breaking occurs in complex spatial and temporal patterns that significantly impact erosion, scalar transport, and flooding. Numerical models are used to predict these processes, but many models lack sufficient evaluation with observations during storm events. To fill the need for more nearshore wave measurements during extreme conditions, we deployed coherent arrays of small-scale, free-drifting wave buoys named microSWIFTs. The result is a large dataset covering a range of conditions. The microSWIFT is a small wave buoy equipped with a GPS module and Inertial Measurement Unit (IMU) used to directly measure the buoy’s global position, horizontal velocities, rotation rates, accelerations, and heading.We use an Attitude and Heading Reference System (AHRS), 9 degrees-of-freedom Kalman filter to rotate the measured accelerations from the reference frame of the buoy to the Earth reference frame. We then use the corrected accelerations to compute the vertical velocity and sea surface elevation. The measurements were collected over a 27-day field experiment in October of 2021 at the US Army Corps of Engineers Field Research Facility in Duck, NC. The microSWIFTs were deployed as a series of coherent arrays, meaning they all sampled simultaneously with a common time reference, leading to a robust spatial and temporal dataset during each deployment. We evaluate wave spectral energy density estimates from individual microSWIFTs by comparing them with a nearby acoustic waves and currents (AWAC) sensor. We also compare significant wave height estimates from the coherent arrays with the nearby AWAC estimates. A zero crossing algorithm is applied to each buoy time series of sea surface elevation to extract realizations of measured surface gravity waves, yielding 116,307 wave realizations throughout the experiment. These measurements spanned offshore significant wave heights ranging from 0.5 meters to 3 meters and peak wave periods ranging from 5 to 15 seconds over the entire experiment. These data are available at https://doi.org/10.5061/dryad.hx3ffbgk0 (Rainville et al., 2023) and will be used as a validation dataset for wave-averaged and wave-resolving models and will be used to investigate nearshore wave dynamics.

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Section: Data Levels and Data Processingmentioning

confidence: 99%

Measurements of Nearshore Waves through Coherent Arrays of Free-Drifting Wave Buoys

Rainville

Thomson

Moulton

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…All data cleaning, including start and end time adjustment and individual point cleaning, is noted in Appendix B in Rainville (2022), and the cleaning notes are stored in the metadata of each netCDF file and in the GitHub repository that contains all processing code (https://github.com/SASlabgroup/DUNEXMainExp, last access: 21 November 2023). The IMU data are then despiked using a piecewise cubic Hermite interpolating polynomial (PCHIP) function, a shape-preserving interpolation scheme used to reduce overshoot oscillations and maintain continu- ity (Karim et al, 2014). Points with a value greater than four scaled median absolute deviations from the median are considered outliers and replaced using the PCHIP method.…”

Section: Data Cleaning and Level 1 Datamentioning

confidence: 99%

Measurements of nearshore ocean-surface kinematics through coherent arrays of free-drifting buoys

Rainville,

Thomson,

Moulton

et al. 2023

Earth Syst. Sci. Data

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Abstract. Surface gravity wave breaking occurs along coastlines in complex spatial and temporal patterns that significantly impact erosion, scalar transport, and flooding. Numerical models are used to predict wave breaking and associated processes but many lack sufficient evaluation with observations. To fill the need for more nearshore wave measurements, we deployed coherent arrays of small-scale, free-drifting buoys named microSWIFTs. The microSWIFT is a small buoy equipped with a GPS module to measure the buoy's position, horizontal velocities, and an inertial measurement unit (IMU) to directly measure the buoy's rotation rates, accelerations, and heading. Measurements were collected over a 27 d field experiment in October 2021 at the US Army Corps of Engineers Field Research Facility in Duck, NC. The microSWIFTs were deployed as a series of coherent arrays, meaning they all sampled simultaneously with a common time reference, leading to a rich spatial and temporal dataset during each deployment. Measurements spanned offshore significant wave heights ranging from 0.5 to 3 m and peak wave periods ranging from 5 to 15 s over the entire experiment. The completed dataset consists of 67 deployment files that contain 971 drift tracks that contain all associated data. We use an attitude and heading reference system (AHRS) 9-degrees-of-freedom Kalman filter to rotate the measured accelerations from the reference frame of the buoy to the Earth reference frame. We then use the corrected accelerations to compute the vertical velocity and sea-surface elevation. We give example evaluations of wave spectral energy density estimates from individual microSWIFTs compared with a nearby acoustic wave and current (AWAC) sensor. A zero-crossing algorithm is applied to each buoy time series of sea-surface elevation to extract realizations of measured surface gravity waves, yielding 116 307 wave realizations throughout the experiment. We also compute significant wave height estimates from the aggregate wave realizations and compare these estimates with the nearby AWAC estimates. An example of spatial variability in cross-shore velocity and vertical acceleration is explored. Wave-breaking events, detected by high-intensity vertical acceleration peaks, are explored, and the cross-shore distribution of all breaking events detected in the experiment is shown. A total of 3419 wave-breaking events were detected across the entire experiment. These data are available at https://doi.org/10.5061/dryad.hx3ffbgk0 (Rainville et al., 2023) and will be used to investigate nearshore wave kinematics, transport of buoyant particles, and wave-breaking processes.

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“…Moreover, research community is interested in splines method to solve different types of differential equations in wide scale. Some examples of such approach are given in [49][50][51][52][53][54][55]. Recently, the spline method has been considered by the researchers as an ideal numerical method for solving many problems.…”

Section: Introductionmentioning

confidence: 99%

Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model

2021

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A novel design of stochastic numerical computing method is introduced for computational fluid dynamics problem governed with nonlinear thin film flow (TFF) system by exploiting the competency of polynomial splines for discretization and optimization with evolutionary computing aided with brilliance of local search. The TFF model of second grade fluid is represented with nonlinear second-order differential system. The aim of the present work is to exploit the cubic spline approach (CSA) to transform the differential equations for TFF model into an equivalent set of nonlinear equations. The approximation in mean squared error sense is introduced for the formulation of cost function for solving the nonlinear system of equations representing TFF model. The optimization of the decision variables of the cost function is carried out with global search efficacy of evolution by genetic algorithms (GAs) integrated with sequential quadratic programming (SQP) for speedy adjustments. The designed spline-evolutionary computing paradigm, CSA-GA-SQP, is evaluated for different scenarios of TFF model by variation of second grade and magnetic parameters, as well as variation in the length of splines. Results endorsed the worth of CSA-GA-SQP solver as an efficient alternative, reliable, stable, and accurate framework for the variants of nonlinear TFF systems on the basis of multiple autonomous executions. The design computing spline paradigm CSA-GA-SQP is a promising alternative numerical solver to be implemented for the solution of stiff nonlinear systems representing the complex scenarios of computational fluid dynamics problems.

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Cubic spline interpolation for petroleum engineering data

Cited by 8 publications

References 8 publications

Measurements of Nearshore Waves through Coherent Arrays of Free-Drifting Wave Buoys

Measurements of Nearshore Waves through Coherent Arrays of Free-Drifting Wave Buoys

Measurements of nearshore ocean-surface kinematics through coherent arrays of free-drifting buoys

Design of Spline–Evolutionary Computing Paradigm for Nonlinear Thin Film Flow Model

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