nach oben

Numerical Algorithms

Erschienen in:

28.12.2019 | Original Paper

FDEMtools: a MATLAB package for FDEM data inversion

verfasst von: G. P. Deidda, P. Díaz de Alba, C. Fenu, G. Lovicu, G. Rodriguez

Erschienen in: Numerical Algorithms | Ausgabe 4/2020

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

Electromagnetic induction surveys are among the most popular techniques for non-destructive investigation of soil properties, in order to detect the presence of both ground inhomogeneities and particular substances. This paper introduces a MATLAB package, called FDEMtools, for the inversion of frequency domain electromagnetic data collected by a ground conductivity meter, which includes a graphical user interface to interactively modify the parameters of the computation and visualize the results. Based on a non-linear forward model used to describe the interaction between an electromagnetic field and the soil, the software reconstructs the distribution of either the electrical conductivity or the magnetic permeability with respect to depth, by a regularized damped Gauss–Newton method. The regularization part of the algorithm is based on a low-rank approximation of the Jacobian of the non-linear model. The package allows the user to experiment with synthetic and experimental data sets, and different regularization strategies, in order to compare them and draw conclusions.

Vorheriger Artikel Preconditioned Krylov subspace and GMRHSS iteration methods for solving the nonsymmetric saddle point problems

Nächster Artikel On the residual norms, the Ritz values and the harmonic Ritz values that can be generated by restarted GMRES

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Anderson, W.L.: Numerical integration of related Hankel transforms of orders 0 and 1 by adaptive digital filtering. Geophysics 44(7), 1287–1305 (1979)

Björck, Å.: Numerical Methods for Least Squares Problems. SIAM, Philadelphia (1996)MATH

Boaga, J., Ghinassi, M., D’Alpaos, A., Deidda, G.P., Rodriguez, G., Cassiani, G.: Geophysical investigations unravel the vestiges of ancient meandering channels and their dynamics in tidal landscapes. Sci. Rep. 8, 1708 (2018). (8 pages)

Borchers, B., Uram, T., Hendrickx, J.: Tikhonov regularization of electrical conductivity depth profiles in field soils. Soil Sci. Soc. Am. J 61(4), 1004–1009 (1997)

Cassiani, G., Ursino, N., Deiana, R., Vignoli, G., Boaga, J., Rossi, M., Perri, M.T., Blaschek, M., Duttmann, R., Meyer, S., Ludwig, R., Soddu, A., Dietrich, P., Werban, U.: Noninvasive monitoring of soil static characteristics and dynamic states: a case study highlighting vegetation effects on agricultural land. Vadose Zone J 11(13) (2012)

Deidda, G.P., Díaz de Alba, P., Rodriguez, G.: Identifying the magnetic permeability in multi-frequency EM data inversion. Electron. Trans. Numer. Anal. 47, 1–17 (2017)MathSciNetMATH

Deidda, G.P., Díaz de Alba, P., Rodriguez, G., Vignoli, G.: Smooth and sparse inversion of EMI data from multi-configuration measurements. In: 2018 IEEE 4Th International Forum on Research and Technology for Society and Industry (RTSI) (RTSI 2018), pp 213–218, Palermo (2018)

Deidda, G.P., Díaz de Alba, P., Rodriguez, G., Vignoli, G.: Inversion of multi-configuration complex EMI data with minimum gradient support regularization. arXiv:1904.04563 [math.NA] (2019)

Deidda, G.P., Fenu, C., Rodriguez, G.: Regularized solution of a nonlinear problem in electromagnetic sounding. Inverse Problems 30, 125,014 (2014). (27 pages)MathSciNetMATH

10.

Díaz de Alba, P., Fermo, L., van der Mee, C., Rodriguez, G.: Recovering the electrical conductivity of the soil via a linear integral model. J. Comput. Appl. Math. 352, 132–145 (2019)MathSciNetMATH

11.

Díaz de Alba, P., Rodriguez, G.: Regularized inversion of multi-frequency EM data in geophysical applications. In: Ortegón Gallego, F., Redondo Neble, M., Rodríguez Galván, J. (eds.) Trends in Differential Equations and Applications, SEMA SIMAI Springer Series, vol. 8, pp 357–369. Springer, Switzerland (2016)

12.

Dragonetti, G., Comegna, A., Ajeel, A., Deidda, G.P., Lamaddalena, N., Rodriguez, G., Vignoli, G., Coppola, A.: Calibrating electromagnetic induction conductivities with time-domain reflectometry measurements. Hydrol. Earth. Syst. Sc. 22, 1509–1523 (2018)

13.

Golub, G.H., Van Loan, C.F.: Matrix Computations, 3rd edn. The John Hopkins University Press, Baltimore (1996)MATH

14.

Hansen, P., Jensen, T., Rodriguez, G.: An adaptive pruning algorithm for the discrete L-curve criterion. J. Comput. Appl. Math. 198(2), 483–492 (2007)MathSciNetMATH

15.

Hansen, P.C.: Rank–Deficient and discrete Ill–Posed Problems. SIAM, Philadelphia (1998)

16.

Hansen, P.C.: Regularization Tools: version 4.0 for Matlab 7.3. Numer. Algorithms 46, 189–194 (2007)MathSciNetMATH

17.

Hendrickx, J.M.H., Borchers, B., Corwin, D.L., Lesch, S.M., Hilgendorf, A.C., Schlue, J.: Inversion of soil conductivity profiles from electromagnetic induction measurements. Soil Sci. Soc. Am. J 66(3), 673–685 (2002). Package NONLINEM38 available at http://infohost.nmt.edu/borchers/nonlinem38.html

18.

Hendrickx, J.M.H., Borchers, B., Corwin, D.L., Lesch, S.M., Hilgendorf, A.C., Schlue, J.: Inversion of soil conductivity profiles from electromagnetic induction measurements: Theory and experimental verification. Soil Sci. Soc. Am. J 66(3), 673–685 (2002)

19.

Hochstenbach, M.E., Reichel, L., Rodriguez, G.: Regularization parameter determination for discrete ill-posed problems. J. Comput. Appl. Math. 273, 132–149 (2015)MathSciNetMATH

20.

Huang, H., SanFilipo, B., Oren, A., Won, I.J.: Coaxial coil towed EMI sensor array for uxo detection and characterization. J. Appl. Geophys. 61(3), 217–226 (2007)

21.

Lascano, E., Martinelli, P., Osella, A.: EMI data from an archaeological resistive target revisited. Near Surf. Geophy. 4(6), 395–400 (2006)

22.

Martinelli, P., Duplaá, M.C.: Laterally filtered 1D inversions of small-loop, frequency-domain EMI data from a chemical waste site. Geophysics 73(4), F143–F149 (2008)

23.

McNeill, J.D.: Electromagnetic terrain conductivity measurement at low induction numbers. Technical Report TN-6 Geonics Limited (1980)

24.

Morigi, S., Reichel, L., Sgallari, F., Zama, F.: Iterative methods for ill-posed problems and semiconvergent sequences. J. Comput. Appl. Math. 193(1), 157–167 (2006)MathSciNetMATH

25.

Morozov, V.A.: The choice of parameter when solving functional equations by regularization. Dokl. Akad. Nauk SSSR 175, 1225–1228 (1962)

26.

Osella, A., de la Vega, M., Lascano, E.: 3D electrical imaging of an archaeological site using electrical and electromagnetic methods. Geophysics 70(4), G101–G107 (2005)

27.

Park, Y., Reichel, L., Rodriguez, G., Yu, X.: Parameter determination for Tikhonov regularization problems in general form. J. Comput. Appl. Math. 343, 12–25 (2018)MathSciNetMATH

28.

Portniaguine, O., Zhdanov, M.: Focusing geophysical inversion images. Geophysics 64, 874–887 (1999)

29.

Reichel, L., Rodriguez, G.: Old and new parameter choice rules for discrete ill-posed problems. Numer. Algorithms 63(1), 65–87 (2013)MathSciNetMATH

30.

Vignoli, G., Deiana, R., Cassiani, G.: Focused inversion of Vertical Radar Profile (VRP) travel–time data. Geophysics 77, H9–H18 (2012)

31.

Vignoli, G., Fiandaca, G., Christiansen, A., Kirkegaard, C., Auken, E.: Sharp spatially constrained inversion with applications to transient electromagnetic data. Geophys. Prospect. 63, 243–255 (2015)

32.

Wait, J.R.: Geo–Electromagnetism. New York: Academic, New York (1982)

33.

Ward, S.H., Hohmann, G.W.: Electromagnetic theory for geophysical applications. In: Electromagnetic Methods in Applied Geophysics. Society of Exploration Geophysicists, Tulsa (1987)

34.

Yao, R., Yang, J.: Quantitative evaluation of soil salinity and its spatial distribution using electromagnetic induction method. Agric. Water Manag. 97(12), 1961–1970 (2010)

35.

Zhdanov, M.: Geophysical Inverse Theory and Regularization Problems. Elsevier, Amsterdam (2002)

36.

Zhdanov, M., Vignoli, G., Ueda, T.: Sharp boundary inversion in crosswell travel–time tomography. J. Geophys. Eng. 3, 122–134 (2006)

Titel: FDEMtools: a MATLAB package for FDEM data inversion
verfasst von: G. P. Deidda
P. Díaz de Alba
C. Fenu
G. Lovicu
G. Rodriguez
Publikationsdatum: 28.12.2019
Verlag: Springer US
Erschienen in: Numerical Algorithms / Ausgabe 4/2020
Print ISSN: 1017-1398
Elektronische ISSN: 1572-9265
DOI: https://doi.org/10.1007/s11075-019-00843-2

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Weitere Artikel der Ausgabe 4/2020

Identification of the source function for a seawater intrusion problem in unconfined aquifer

On the calculation of the poles of multivariate meromorphic functions using the symbolic-numeric two-point qd-algorithm

Krylov subspace projection method for Sylvester tensor equation with low rank right-hand side

Golub–Kahan bidiagonalization for ill-conditioned tensor equations with applications

A variational method for solving two-dimensional Bratu’s problem

Special volume on mathematical modeling with applications