One of the modern applications of geomagnetism is determining the effect of geomagnetic disturbances on critical infrastructure such as power systems and pipelines. Assessing the geomagnetic hazard to such systems requires calculation of the geoelectric fields produced during geomagnetic disturbances. Such geoelectric fields can then be used as input to system models to calculate the impact on the system. This paper describes what is involved in calculating the geoelectric fields produced during real geomagnetic disturbances. The theory of geomagnetic induction is presented and used to derive the Earth transfer function relating the geoelectric and geomagnetic field variations at the Earth’s surface. It is then shown how this can be used to make practical calculations of the geoelectric fields and how the calculation process can be verified by comparison with analytic solutions obtained with synthetic geomagnetic variation data. The accuracy of the calculated geoelectric fields for geomagnetic risk assessments is limited, not by the accuracy of the calculation methods, but by the availability of geomagnetic field measurements and Earth conductivity information over the whole extent of the affected infrastructure.
References
[1]
Turner, G. (2011) North Pole, South Pole. The Epic Quest to Solve the Great Mystery of Earth’s Magnetism. The Experiment, New York, 272 p.
[2]
Campbell, W.H. (2003) Introduction to Geomagnetic Fields. 2nd Edition, Cambridge University Press, Cambridge.
[3]
Boteler, D.H., Pirjola, R.J. and Nevanlinna, H. (1998) The Effects of Geomagnetic Disturbances on Electrical Systems at the Earth’s Surface. Advances in Space Research, 22, 17-27. https://doi.org/10.1016/S0273-1177(97)01096-X
[4]
Prescott, G.B. (1866) History, Theory and Practice of the Electric Telegraph. IV Edition, Ticknor and Fields, Boston.
[5]
Boteler, D.H. (2006) The Super Storms of August/September 1859 and Their Effects on the Telegraph System. Advances in Space Research, 38, 159-172. https://doi.org/10.1016/j.asr.2006.01.013
[6]
Gummow, R.A. (2002) GIC Effects on Pipeline Corrosion and Corrosion Control Systems. Journal of Atmospheric and Solar-Terrestrial Physics, 64, 1755-1764. https://doi.org/10.1016/S1364-6826(02)00125-6
[7]
Boteler, D.H. and Trichtchenko, L. (2015) Telluric Influence on Pipelines. In: Revie, R.W., Ed., Oil and Gas Pipelines: Integrity and Safety Handbook, Chapter 21, John Wiley & Sons, Inc., Hoboken, 275-288. https://doi.org/10.1002/9781119019213.ch21
[8]
Boteler, D.H. (1994) Geomagnetically Induced Currents: Present Knowledge and Future Research. IEEE Transactions on Power Delivery, 9, 50-58. https://doi.org/10.1109/61.277679
[9]
Bolduc, L. (2002) GIC Observations and Studies in the Hydro-Québec Power System. Journal of Atmospheric and Solar-Terrestrial Physics, 64, 1793-1802.
[10]
Pulkkinen, A., Lindahl, S., Viljanen, A. and Pirjola, R. (2005) Geomagnetic Storm of 29-31 October 2003; Geomagnetically Induced Currents and Their Relation to Problems in the Swedish High-Voltage Power Transmission System. Space Weather, 3, S08C03. https://doi.org/10.1029/2004SW000123
[11]
Guillon, S., Toner, P., Gibson, L. and Boteler, D. (2016) A Colorful Blackout. IEEE Power & Energy Magazine, 14, 59-71.
[12]
Boteler, D.H. (2001) Assessment of Geomagnetic Hazard to Canadian Power Systems. Natural Hazards, 23, 101-120.
[13]
Viljanen, A., Pirjola, R., Wik, M., ádám, A., Prácser, E., Sakharov, Y. and Katkalov, J. (2012) Continental Scale Modelling of Geomagnetically Induced Currents. Journal of Space Weather and Space Climate, 2, A17. https://doi.org/10.1051/swsc/2012017
[14]
Viljanen, A., Pirjola, R., Prácser, E., Katkalov, J. and Wik, M. (2014) Geomagnetically Induced Currents in Europe. Modelled Occurrence in a Continent-Wide Power Grid. Journal of Space Weather and Space Climate, 4, A09. https://doi.org/10.1051/swsc/2014006
[15]
Wik, M., Viljanen, A., Pirjola, R., Pulkkinen, A., Wintoft, P. and Lundstedt, H. (2008) Calculation of Geomagnetically Induced Currents in the 400 kV Power Grid in Southern Sweden. Space Weather, 6, S07005. https://doi.org/10.1029/2007SW000343
[16]
Boteler, D.H. (2015) The Evolution of Québec Earth Models Used to Model Geomagnetically Induced Currents. IEEE Transactions on Power Delivery, 30, 2171-2178.
[17]
Love, J.J., Lucas, G.M., Kelbert, A. and Bedrosian, P.A. (2018) Geoelectric Hazard Maps for the Mid-Atlantic United States: 100 Year Extreme Values and the 1989 Magnetic Storm. Geophysical Research Letters, 45, 5-14. https://doi.org/10.1002/2017GL076042
[18]
Kavanagh, E.R. (1974) Time Sequence Analysis in Geophysics. Third Edition, Univ. of Alberta Press, Edmonton, 492.
[19]
Kaufman, A.A. and Keller, G.V. (1981) The Magnetotelluric Sounding Method. Methods in Geochemistry and Geophysics Vol. 15, Elsevier Scientific Publishing Company, Amsterdam.
[20]
Simpson, F. and Bahr, K. (2005) Practical Magnetotellurics. Cambridge University Press, Cambridge, 272 p. https://doi.org/10.1017/CBO9780511614095
[21]
Chave, A.D. and Jones, A.G. (2012) The Magnetotelluric Method, Theory and Practice. Cambridge University Press, Cambridge, 552 p. https://doi.org/10.1017/CBO9781139020138
[22]
Marti, L., Yiu, C., Rezaei-Zare, A. and Boteler, D. (2014) Simulation of Geomagnetically Induced Currents with Piecewise Layered-Earth Models. IEEE Transactions on Power Delivery, 29, 1886-1893. https://doi.org/10.1109/TPWRD.2014.2317851
[23]
Bloomfield, P. (2000) Fourier Analysis of Time Series: An Introduction. John Wiley & Sons, New York, 2nd Edition, 269 p.
[24]
Boteler, D.H. (2012) On Choosing Fourier Transforms for Practical Geoscience Applications. International Journal of Geosciences, 3, 952-959. https://doi.org/10.4236/ijg.2012.325096
[25]
Bracewell, R.N. (1978) The Fourier Transform and Its Applications. Second Edition, McGraw-Hill Book Company, New York, 444 p.
[26]
Pirjola, R.J. and Boteler, D.H. (2017) Truncation of the Earth Impulse Responses Relating Geoelectric Fields and Geomagnetic Field Variations. Geosciences Research, 2, 72-92. https://doi.org/10.22606/gr.2017.22002
[27]
Boteler, D.H., Pirjola, R.J. and Marti, L. (2019) Analytic Calculation of Geoelectric Fields Due to Geomagnetic Disturbances: A Test Case. IEEE Access, 7, 147029-147037. https://doi.org/10.1109/ACCESS.2019.2945530
[28]
Boteler, D.H. and Pirjola, R.J. (1998) The Complex-Image Method for Calculating the Magnetic and Electric Fields Produced at the Surface of the Earth by the Auroral Electrojet. Geophysical Journal International, 132, 31-40. https://doi.org/10.1046/j.1365-246x.1998.00388.x
[29]
Viljanen, A. and Pirjola, R. (1994) On the Possibility of Performing Studies on the Geoelectric Field and Ionospheric Currents Using Induction in Power Systems. Journal of Atmospheric and Terrestrial Physics, 56, 1483-1491.
[30]
Viljanen, A., Pulkkinen, A., Amm, O., Pirjola, R., Korja, T. and BEAR Working Group (2004) Fast Computation of the Geoelectric Field Using the Method of Elementary Current Systems and Planar Earth Models. Annales Geophysicae, 22, 101-113. https://doi.org/10.5194/angeo-22-101-2004
[31]
Adám, A., Prácser, E. and Wesztergom, V. (2012) Estimation of the Electric Resistivity Distribution (EURHOM) in the European Lithosphere in the Frame of the EURISGIC WP2 Project. Acta Geodaetica et Geophysica Hungarica, 47, 377-387. https://doi.org/10.1556/AGeod.47.2012.4.1