Linear and nonlinear ultrasonic characterization of limestone

Megan McGovern, Henrique Reis

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Characterization of dolomitic limestone rock samples with increasing levels of damage is presented using linear and nonlinear ultrasonic approaches. Limestone test samples with increasing levels of damage were created artificially by exposing virgin samples to increasing temperature levels of 100, 200, 300, 400, 500, 600, and 700oC for a ninety minute period of time. The linear characterization is based upon the concept of complex moduli, which is estimated using ultrasonic dilatational and shear phase velocity measurements and corresponding attenuations. The nonlinear approach is based upon non-collinear wave mixing, involving mixing of two dilatational waves. Criteria were used to aßure that the detected scattered wave originated via wave interaction in the limestone and not from nonlinearities in the testing equipment. These criteria included frequency and propagating direction of the resultant scattered wave, and the time-offlight separation between the two primary waves and the resulting scattered wave. It was observed that both the linear and nonlinear approaches are able to characterize the level of damage in limestone rock.

Original languageEnglish (US)
Title of host publicationHealth Monitoring of Structural and Biological Systems 2015
EditorsTribikram Kundu
ISBN (Electronic)9781628415414
StatePublished - 2015
EventHealth Monitoring of Structural and Biological Systems 2015 - San Diego, United States
Duration: Mar 9 2015Mar 12 2015

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


OtherHealth Monitoring of Structural and Biological Systems 2015
Country/TerritoryUnited States
CitySan Diego


  • Artificial weathering
  • Damage accumulation
  • Limestone
  • Materials characterization
  • Non-collinear wave mixing
  • Nonlinear response
  • Nonlinear ultrasonics

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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