Open AccessNew analytic solutions for the 2‐D TE mode MT problem
Author(s) -
Parker Robert L.
Publication year - 2011
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2011.05091.x
Subject(s) - mode (computer interface) , geophysics , inverse theory , geology , mathematics , physics , computer science , optics , surface wave , operating system
SUMMARY A closed‐form solution is given for a 2‐D, transverse electric mode, magnetotelluric (MT) problem. The model system consists of a finite vertical thin conductor with variable integrated conductivity over a perfectly conducting base. A notable property of the solution is that the frequency response possesses a single pole in the complex plane. Systems with finitely many resonances play a central role in the 1‐D MT inverse problem based on finite data sets, but until now, no 2‐D system of this kind was known. The particular model is shown to be just one of a large class of thin conductors with same the property, and further examples are given. The solutions of the induction problem for members of this family can often be written in compact closed form, making them the simplest known solutions to the 2‐D MT problem.