eprintid: 351
rev_number: 12
eprint_status: archive
userid: 7
dir: disk0/00/00/03/51
datestamp: 2011-07-29 13:53:51
lastmod: 2015-05-29 19:58:30
status_changed: 2011-07-29 13:53:51
type: report
metadata_visibility: show
item_issues_count: 0
creators_name: Hadj-Sassi, K.
creators_name: Clawson, R.
corp_creators: Khaled Hadj-Sassi
corp_creators: Patrice Ligneul
title: Formation Response of High Frequency Electromagnetic Waves
ispublished: pub
subjects: utilities
subjects: materials
studygroups: ksg1
companyname: Schlumberger Carbonate Research Dhahran
full_text_status: public
abstract: Core samples from rock formations respond to electromagnetic radiation based on an effective permittivity, which depends on the conductivity and permittivity of the constituent components of the rock, as well as the geometric structure of these constituents and the frequency of the radiation. This study analyzes the effect, for radiation of 1 to 100 Mhz, of discrete inclusions having a different permittivity from the surrounding medium. The focus is on the effect of certain geometric features, namely, the individual size of the inclusions, their overall volume fraction, the presence of sharp edges, and their aspect ratio. 

It is found that the volume fraction has the strongest impact on the effective permittivity, linear at first but higher order at higher volume fractions. The aspect ratio of the inclusions has a moderate effect, which is exaggerated in the extreme case of needle-like inclusions, and which can also be seen in a stronger nonlinearity. There is also a possibility that some features in the shape of the inclusion boundaries may influence the frequency dependence of the effective permittivity. Inclusion size and sharp edges have negligible effect.
date: 2011
citation:   Hadj-Sassi, K. and Clawson, R.  (2011) Formation Response of High Frequency Electromagnetic Waves.  [Study Group Report]     
document_url: http://miis.maths.ox.ac.uk/miis/351/1/SLB-waves.pdf