The Application of Joint Inversion in Geophysical Exploration

Affiliation(s)

Department of Geophysics, Faculty of Earth Science and Engineering, University of Miskolc, Miskolc, Hungary.

Department of Geophysics, Faculty of Earth Science and Engineering, University of Miskolc, Miskolc, Hungary.

ABSTRACT

The paper presents a short overview about the application of joint inversion in geophysics. It gives also an alternative explanation for the term of “different data sets” and discusses what types of inversion procedures can be considered as joint inversion. Nowadays there are no standard standpoints using the appellation joint inversion. What is joint inversion? Based on the information matrix an answer could be given for this question what could be regarded as various types of data sets that are inverted simultaneously. We would like to expand the explanation—that is professed by many researchers—of the method that regards only the simultaneous inversion of data sets based on different physical parameters as joint inversion.

Cite this paper

Á. Gyulai, M. Baracza and É. Tolnai, "The Application of Joint Inversion in Geophysical Exploration,"*International Journal of Geosciences*, Vol. 4 No. 2, 2013, pp. 283-289. doi: 10.4236/ijg.2013.42026.

Á. Gyulai, M. Baracza and É. Tolnai, "The Application of Joint Inversion in Geophysical Exploration,"

References

[1] K. Vozoff and D. L. B. Jupp, “Joint Inversion of Geophysical Data,” Geophysical Journal of the Royal Astronomical Society, Vol. 42, No. 3, 1975, pp. 977-991. doi:10.1111/j.1365-246X.1975.tb06462.x

[2] M. Dobróka, á. Gyulai, T. Ormos, J. Csókás and L. Dresen, “Joint Inversion of Seismic and Geoelectric Data Recorded in an Underground Coal Mine,” Geophysical Prospecting, Vol. 39, No. 5, 1991, pp. 643-665. doi:10.1111/j.1365-2478.1991.tb00334.x

[3] á. Gyulai, “Parameter Sensitivity of Underground DC Measurements,” Geophysical Transactions, Vol. 35, No. 3, 1989, pp. 209-225.

[4] á. Gyulai and T. Ormos, “A New Procedure for the Interpretation of VES Data: 1.5-D Simultaneous Inversion Method,” Journal of Applied Geophysics, Vol. 41, No. 1, 1999, pp. 1-17. doi:10.1016/S0926-9851(98)00034-2

[5] P. Salát, Gy. Tarcsai, L. Cserepes, M. Vermes and D. Drahos, “Information-Statistical Methods of Geophysical Interpretation (in Hungarian),” Tankonyvkiadó, 1982.

[6] W. Menke, “Geophysical Data Analysis-Discrete Inverse Theory,” Academic Press, Inc., London, 1984.

[7] M. Dobróka, “Introduction to Geophysical Inversion (in Hungarian),” Miskolci Egyetemi Kiadó, Miskolc, 2001, 209 p.

[8] K. Spitzer, “A 3-D Finite Difference Algorithm for DC Resistivity Modelling Using Conjugate Gradient Methods,” Geophysical Journal International, Vol. 123, No. 3, 1995, pp. 902-914. doi:10.1111/j.1365-246X.1995.tb06897.x

[9] S. P. Dasgupta, “A Note on the Conversion of DC-Dipole Sounding Curves to Schlumberger Curves,” Geoexploration, Vol. 22, No. 1, 1984, pp. 43-45. doi:10.1016/0016-7142(84)90004-8

[10] R. Kumar and U. C. Das, “Transformation of Schlumberger Apparent Resistivity to Dipole Apparent Resistivity over Layered Earth by the Application of Digital Linear Filters,” Geophysical Prospecting, Vol. 26, No. 2, 1978, pp. 352-358. doi:10.1111/j.1365-2478.1978.tb01598.x

[11] Y. Li and D. W. Oldenburg, “Joint Inversion of Surface and Three Component Borehole Magnetic Data,” Geophysics, Vol. 65, No. 2, 2000, pp. 540-552. doi:10.1190/1.1444749

[12] M. Dobróka and L. Volgyesi, “Inversion Reconstruction of Gravity Potential Based on Gravity Gradients,” Mathematical Geosciences, Vol. 40, No. 3, 2008, pp. 299-311. doi:10.1007/s11004-007-9139-z

[13] á. Gyulai, T. Ormos and M. Dobróka, “A Quick 2-D Geoelectric Inversion Method Using Series Expansion,” Journal of Applied Geophysics, Vol. 72, No. 4, 2010, pp. 232-241. doi:10.1016/j.jappgeo.2010.09.006

[14] M. Kis, “Investigation of near Surface Structures with Joint Inversion of Seismic and Direct Current Geoelectric Data (in Hungarian),” Ph.D. Thesis, University of Miskolc, Miskolc, 1998.

[15] M. Dobróka and N. P. Szabó, “Combined Global/Linear Inversion of Well-Logging Data in Layer Wise Homogeneous and Inhomogeneous Media,” Acta Geodaetica et Geophysica Hungarica, Vol. 40, No. 2, 2005, pp. 203-214. doi:10.1556/AGeod.40.2005.2.7

[16] D. Drahos, “Inversion of Engineering Geophysical Penetration Sounding Logs Measured along a Profile,” Acta Geodaetica et Geophysica Hungarica, Vol. 40, No. 2, 2005, pp. 193-202. doi:10.1556/AGeod.40.2005.2.6

[17] M. Dobróka, “The Establishment of Joint Inversion Algorithms in the Well-Logging Interpretation (in Hungarian),” Scientific Report for the Hungarian Oil and Gas Company, University of Miskolc, Miskolc, 1993.

[18] á. Gyulai, T. Ormos and L. Dresen, “A Joint Inversion Method to Solve Problems of Layer Boundaries, Differently Defined by Seismics and Geoelectric,” 6th Meeting of Environmental and Engineering Geophysical Society—European Section, 3-7 September 2000, Bochum.

[19] á. Gyulai and T. Ormos, “New Geoelectric-Seismic Joint Inversion Method to Determine 2-D Structures for Different Layer Thickness and Boundaries,” Geophysical Transactions, Vol. 44, No. 3-4, 2004, pp. 273-300.

[20] M. Breitzke, L. Dresen, J. Csókás, á. Gyulai and T. Ormos, “Paratmeter Estimation and Fault Detection by Three-Component Seismic and Geoelectrical Surveys in a Coal Mine,” Geophysical Prospecting, Vol. 35, No. 3, 1987, pp. 832-863.

[21] P. Dell’Aversana, “Joint Inversion of Seismic, Gravity and Magnetotelluric Data Combined with Depth Seismic Imaging,” EMG International Workshop, Capri, 2007.

[22] J. Doetsch, N. Linde, I. Coscia, S. A. Greenhalgh and A. G. Green, “Zonation for 3D Aquifer Characterization Based on Joint Inversions of Multimethod Crosshole Geophysical Data,” Geophysics, Vol. 75, No. 6, 2010, pp. G53-G64. doi:10.1190/1.3496476

[23] M. Dobróka, N. P. Szabó, E. Cardelli and P. Vass, “2D Inversion Borehole Logging Data for Simultaneos Fetermination of Rock Interfaces and Petrophysical Parameters,” Acta Geodaetica and Geophysica Hungarica, Vol. 44, No. 4, 2009, pp. 459-482. doi:10.1556/AGeod.44.2009.4.7

[24] L. A. Gallardo and M. A. Meju, “Joint Two Dimensional DC Resistivity and Seismic Traveltime Inversion with Cross-Gradients Contrains,” Journal of Geophysical Research, Vol. 109, No. B3, 2004, pp. B03311-B03321.

[25] L. A. Gallardo-Delagdo, M. A. Perez-Flores and E. Gomez-Trevino, “A Versatile Algorithm for Joint 3D Inversion of Gravity and Magnetic Data,” Geophysics, Vol. 68, No. 3, 2003, pp. 949-959. doi:10.1190/1.1581067

[26] E. Haber and D. Oldenburg, “Joint Inversion: A Structural Approach,” Inverse Problems, Vol. 13, No. 1, 1997, pp. 63-77. doi:10.1088/0266-5611/13/1/006

[27] A. Hering, R. Misiek, á. Gyulai, T. Ormos, M. Dobróka and L. Dresen, “A Joint Inversion Algorithm to Process Geoelectric and Surface Wave Data, Part. I.,” Geophysical Prospecting, Vol. 43, No. 2, 1995, pp. 153-156. doi:10.1111/j.1365-2478.1995.tb00128.x

[28] M. Jegen, R. W. Hobbs, P. Tartis and A. Chave, “Joint Inversion of Marine Magnetotelluric and Gravity Data Incorporating Seismic Constrains. Preliminary Results of Sub-Basalt Imaging off the Farve Shelf,” Earth and Planetary Science Letters, Vol. 282, No. 1-4, 2009, pp. 47-95. doi:10.1016/j.epsl.2009.02.018

[29] N. Linde, A. Tryggvason, J. E. Peterson and S. S. Hubbard, “Joint Inversion of Crosshole Radar and Seismic Travel Times Acquired at the South Oyster Bacterial Transport Site,” Geophysics, Vol. 73, No. 4, 2008, pp. G29-G37. doi:10.1190/1.2937467

[30] G. F. Margrave, R. R. Steward and J. A. Larsen, “Joint PP and PS Seismic Inversion,” The Leading Edge, Vol. 20, No. 9, 2001, pp. 1048-1052. doi:10.1190/1.1487311

[31] R. Misiek, A. Liebig, á. Gyulai, T. Ormos, M. Dobróka and L. Dresen, “A Joint Inversion Algorithm to Process Geoelectric and Surface Wave Seismic Data Part II,” Geophysical Prospecting, Vol. 45, No. 1, 1997, pp. 65-85. doi:10.1046/j.1365-2478.1997.3190241.x

[32] S. P. Sharma and S. K. Verma, “Solutions of the Inherent Problem of the Equivalence in Direct Current Resistivity and Electromagnetic Methods through Global Optimalisation and Joint Inversion by Successive Refinement of Model Space,” Geophysical Prospecting, Vol. 59, No. 4, 2011, pp. 760-776. doi:10.1111/j.1365-2478.2011.00952.x

[33] N. P. Szabó, “Global Inversion of Well-Logging Data,” Geophysical Transactions, Vol. 44, No. 3-4, 2004, pp. 313-329.

[1] K. Vozoff and D. L. B. Jupp, “Joint Inversion of Geophysical Data,” Geophysical Journal of the Royal Astronomical Society, Vol. 42, No. 3, 1975, pp. 977-991. doi:10.1111/j.1365-246X.1975.tb06462.x

[2] M. Dobróka, á. Gyulai, T. Ormos, J. Csókás and L. Dresen, “Joint Inversion of Seismic and Geoelectric Data Recorded in an Underground Coal Mine,” Geophysical Prospecting, Vol. 39, No. 5, 1991, pp. 643-665. doi:10.1111/j.1365-2478.1991.tb00334.x

[3] á. Gyulai, “Parameter Sensitivity of Underground DC Measurements,” Geophysical Transactions, Vol. 35, No. 3, 1989, pp. 209-225.

[4] á. Gyulai and T. Ormos, “A New Procedure for the Interpretation of VES Data: 1.5-D Simultaneous Inversion Method,” Journal of Applied Geophysics, Vol. 41, No. 1, 1999, pp. 1-17. doi:10.1016/S0926-9851(98)00034-2

[5] P. Salát, Gy. Tarcsai, L. Cserepes, M. Vermes and D. Drahos, “Information-Statistical Methods of Geophysical Interpretation (in Hungarian),” Tankonyvkiadó, 1982.

[6] W. Menke, “Geophysical Data Analysis-Discrete Inverse Theory,” Academic Press, Inc., London, 1984.

[7] M. Dobróka, “Introduction to Geophysical Inversion (in Hungarian),” Miskolci Egyetemi Kiadó, Miskolc, 2001, 209 p.

[8] K. Spitzer, “A 3-D Finite Difference Algorithm for DC Resistivity Modelling Using Conjugate Gradient Methods,” Geophysical Journal International, Vol. 123, No. 3, 1995, pp. 902-914. doi:10.1111/j.1365-246X.1995.tb06897.x

[9] S. P. Dasgupta, “A Note on the Conversion of DC-Dipole Sounding Curves to Schlumberger Curves,” Geoexploration, Vol. 22, No. 1, 1984, pp. 43-45. doi:10.1016/0016-7142(84)90004-8

[10] R. Kumar and U. C. Das, “Transformation of Schlumberger Apparent Resistivity to Dipole Apparent Resistivity over Layered Earth by the Application of Digital Linear Filters,” Geophysical Prospecting, Vol. 26, No. 2, 1978, pp. 352-358. doi:10.1111/j.1365-2478.1978.tb01598.x

[11] Y. Li and D. W. Oldenburg, “Joint Inversion of Surface and Three Component Borehole Magnetic Data,” Geophysics, Vol. 65, No. 2, 2000, pp. 540-552. doi:10.1190/1.1444749

[12] M. Dobróka and L. Volgyesi, “Inversion Reconstruction of Gravity Potential Based on Gravity Gradients,” Mathematical Geosciences, Vol. 40, No. 3, 2008, pp. 299-311. doi:10.1007/s11004-007-9139-z

[13] á. Gyulai, T. Ormos and M. Dobróka, “A Quick 2-D Geoelectric Inversion Method Using Series Expansion,” Journal of Applied Geophysics, Vol. 72, No. 4, 2010, pp. 232-241. doi:10.1016/j.jappgeo.2010.09.006

[14] M. Kis, “Investigation of near Surface Structures with Joint Inversion of Seismic and Direct Current Geoelectric Data (in Hungarian),” Ph.D. Thesis, University of Miskolc, Miskolc, 1998.

[15] M. Dobróka and N. P. Szabó, “Combined Global/Linear Inversion of Well-Logging Data in Layer Wise Homogeneous and Inhomogeneous Media,” Acta Geodaetica et Geophysica Hungarica, Vol. 40, No. 2, 2005, pp. 203-214. doi:10.1556/AGeod.40.2005.2.7

[16] D. Drahos, “Inversion of Engineering Geophysical Penetration Sounding Logs Measured along a Profile,” Acta Geodaetica et Geophysica Hungarica, Vol. 40, No. 2, 2005, pp. 193-202. doi:10.1556/AGeod.40.2005.2.6

[17] M. Dobróka, “The Establishment of Joint Inversion Algorithms in the Well-Logging Interpretation (in Hungarian),” Scientific Report for the Hungarian Oil and Gas Company, University of Miskolc, Miskolc, 1993.

[18] á. Gyulai, T. Ormos and L. Dresen, “A Joint Inversion Method to Solve Problems of Layer Boundaries, Differently Defined by Seismics and Geoelectric,” 6th Meeting of Environmental and Engineering Geophysical Society—European Section, 3-7 September 2000, Bochum.

[19] á. Gyulai and T. Ormos, “New Geoelectric-Seismic Joint Inversion Method to Determine 2-D Structures for Different Layer Thickness and Boundaries,” Geophysical Transactions, Vol. 44, No. 3-4, 2004, pp. 273-300.

[20] M. Breitzke, L. Dresen, J. Csókás, á. Gyulai and T. Ormos, “Paratmeter Estimation and Fault Detection by Three-Component Seismic and Geoelectrical Surveys in a Coal Mine,” Geophysical Prospecting, Vol. 35, No. 3, 1987, pp. 832-863.

[21] P. Dell’Aversana, “Joint Inversion of Seismic, Gravity and Magnetotelluric Data Combined with Depth Seismic Imaging,” EMG International Workshop, Capri, 2007.

[22] J. Doetsch, N. Linde, I. Coscia, S. A. Greenhalgh and A. G. Green, “Zonation for 3D Aquifer Characterization Based on Joint Inversions of Multimethod Crosshole Geophysical Data,” Geophysics, Vol. 75, No. 6, 2010, pp. G53-G64. doi:10.1190/1.3496476

[23] M. Dobróka, N. P. Szabó, E. Cardelli and P. Vass, “2D Inversion Borehole Logging Data for Simultaneos Fetermination of Rock Interfaces and Petrophysical Parameters,” Acta Geodaetica and Geophysica Hungarica, Vol. 44, No. 4, 2009, pp. 459-482. doi:10.1556/AGeod.44.2009.4.7

[24] L. A. Gallardo and M. A. Meju, “Joint Two Dimensional DC Resistivity and Seismic Traveltime Inversion with Cross-Gradients Contrains,” Journal of Geophysical Research, Vol. 109, No. B3, 2004, pp. B03311-B03321.

[25] L. A. Gallardo-Delagdo, M. A. Perez-Flores and E. Gomez-Trevino, “A Versatile Algorithm for Joint 3D Inversion of Gravity and Magnetic Data,” Geophysics, Vol. 68, No. 3, 2003, pp. 949-959. doi:10.1190/1.1581067

[26] E. Haber and D. Oldenburg, “Joint Inversion: A Structural Approach,” Inverse Problems, Vol. 13, No. 1, 1997, pp. 63-77. doi:10.1088/0266-5611/13/1/006

[27] A. Hering, R. Misiek, á. Gyulai, T. Ormos, M. Dobróka and L. Dresen, “A Joint Inversion Algorithm to Process Geoelectric and Surface Wave Data, Part. I.,” Geophysical Prospecting, Vol. 43, No. 2, 1995, pp. 153-156. doi:10.1111/j.1365-2478.1995.tb00128.x

[28] M. Jegen, R. W. Hobbs, P. Tartis and A. Chave, “Joint Inversion of Marine Magnetotelluric and Gravity Data Incorporating Seismic Constrains. Preliminary Results of Sub-Basalt Imaging off the Farve Shelf,” Earth and Planetary Science Letters, Vol. 282, No. 1-4, 2009, pp. 47-95. doi:10.1016/j.epsl.2009.02.018

[29] N. Linde, A. Tryggvason, J. E. Peterson and S. S. Hubbard, “Joint Inversion of Crosshole Radar and Seismic Travel Times Acquired at the South Oyster Bacterial Transport Site,” Geophysics, Vol. 73, No. 4, 2008, pp. G29-G37. doi:10.1190/1.2937467

[30] G. F. Margrave, R. R. Steward and J. A. Larsen, “Joint PP and PS Seismic Inversion,” The Leading Edge, Vol. 20, No. 9, 2001, pp. 1048-1052. doi:10.1190/1.1487311

[31] R. Misiek, A. Liebig, á. Gyulai, T. Ormos, M. Dobróka and L. Dresen, “A Joint Inversion Algorithm to Process Geoelectric and Surface Wave Seismic Data Part II,” Geophysical Prospecting, Vol. 45, No. 1, 1997, pp. 65-85. doi:10.1046/j.1365-2478.1997.3190241.x

[32] S. P. Sharma and S. K. Verma, “Solutions of the Inherent Problem of the Equivalence in Direct Current Resistivity and Electromagnetic Methods through Global Optimalisation and Joint Inversion by Successive Refinement of Model Space,” Geophysical Prospecting, Vol. 59, No. 4, 2011, pp. 760-776. doi:10.1111/j.1365-2478.2011.00952.x

[33] N. P. Szabó, “Global Inversion of Well-Logging Data,” Geophysical Transactions, Vol. 44, No. 3-4, 2004, pp. 313-329.