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An acoustic-logging transmission-network model (continued): addition and multiplication ALTNs
Lin Fa1, John P Castagna, Roberto Suarez-Rivera
1The Institute for Exploration and Development Geosciences, The University of Oklahoma, Sarkeys Energy Center, 100 East Boyd Street, Norman, Oklahoma 73019, USA.
The Journal of the Acoustical Society of America
|May 27, 2003
Summary
This study introduces addition and multiplication acoustic-logging transmission-network (ALTN) models. Experimental verification confirms the physical model of the multiplication acoustic array logging tool and its beam steering efficiencies.
Area of Science:
- Acoustics
- Geophysics
- Signal Processing
Background:
- The acoustic-logging transmission-network (ALTN) model provides a framework for analyzing acoustic wave propagation in logging tools.
- Existing models may not fully capture the complexities of acoustic array logging, particularly concerning beam steering.
Purpose of the Study:
- To introduce and define novel concepts of addition and multiplication acoustic-logging transmission-networks (ALTNs).
- To establish the reciprocity of two types of addition ALTNs.
- To develop and validate a physical model for multiplication acoustic array logging tools, focusing on beam steering efficiency.
Main Methods:
- Extension of the existing acoustic-logging transmission-network (ALTN) model to include addition and multiplication concepts.
- Mathematical proof of the reciprocity for two kinds of addition ALTNs.
- Development of a physical model for multiplication acoustic array logging tools.
- Calculation of acoustic-beam steering efficiencies for the proposed models.
- Experimental verification of the theoretical models and calculations.
Main Results:
- Successful introduction of addition and multiplication ALTN concepts.
- Demonstrated reciprocity for two types of addition ALTNs.
- Established a validated physical model for multiplication acoustic array logging tools.
- Quantified acoustic-beam steering efficiencies, validated by experimental data.
Conclusions:
- The proposed addition and multiplication ALTN models offer a more comprehensive understanding of acoustic logging.
- The validated physical model and efficiency calculations are crucial for optimizing acoustic array logging tool design and performance.
- Experimental verification supports the theoretical advancements in acoustic logging modeling.