Summary
An exact solution of the distribution of the intensity of the telluric field in a halfspace with a spherical inhomogeneity has been obtained by solving the Laplace equation in bipolar coordinates. This exact solution is compared with the presently known approximate solution, obtained by the method of images, and the region of their coincidence has been determined. For the „image” solution theoretical relations have been derived for computing the anomaly of the magnetic field. Craphs depict many of the properties of the telluric and magnetic fields on the surface of the considered halfspace for various parameters of the given problem.
Similar content being viewed by others
References
М. Н. БердичевскиЙ: Электрическая разведка методом теллурических токов. Гостоптехиздат, М. 1960, 104.
Н. Н. Лебедев: Специальные функции и их приложения. Госуд. изд. физ. мат. лит., М. 1963, 280.
Д. Б. Гурвич, Е. А. Свядощ: Метод определения магнитных полей токов растекания. Журн. техн. физ., 33 (1963), 637.
Д. Б. Гурвич, Е. А. Свядощ: Расчет низкочастотного электромагнитного поля в координатах, разделяющих уравнение Лапласа. Журн. техн. физики, 35 (1965), 2160.
Author information
Authors and Affiliations
Additional information
Dedicated to 90th Birthday of Professor František Fiala
Rights and permissions
About this article
Cite this article
Hvoždara, M. The telluric field in a halfspace with a spherical inhomogeneity. Stud Geophys Geod 17, 131–143 (1973). https://doi.org/10.1007/BF01613683
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF01613683