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Acoustic log simulation in a viscoelastic formation: Cole–Cole model
Institution:1. Instituto Politécnico Nacional, SEPI-ESIME Culhuacán, Av. Santa Ana, No. 1000, col. San Francisco Culhuacán, C.P. 04430, México, D.F., Mexico;2. Instituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas, No. 152, col. San Bartolo Atepehuacán, C.P. 07730, México, D.F., Mexico;1. China Aerodynamics Research and Development Center, Hypervelocity Aerodynamics Research Institute, 621000 Sichuan Province, China;2. National University of Defense Technology, College of Mechatronic Engineering and Automation, 410073 Hunan Province, China;3. Saarland University, Chair of Micromechanics, Microfluidics/Microactuators, 66123 Saarbrücken, Germany;1. Instituto Politecnico Nacional, Escuela Superior de Ingenieria Mecanica y Electrica, U. P. Culhuacan. Av. Santa Ana 1000, Col. San Francisco Culhuacan, 04430 Mexico, Mexico;2. Instituto Politecnico Nacional, Escuela Superior de Ingenieria Mecanica y Electrica (National Polytechnic Institute of Mexico, Mechanical and Electrical Engineering Higher School), U. P. Zacatenco. Av. IPN s/n, Edificio Z, acceso 3, tercer piso. Col. Lindavista, 07738 Mexico, Mexico;3. Instituto Politecnico Nacional, Centro de Investigacion en Computacion. Av. Miguel Othon Mendizabal s/n, Col. La Escalera, 07320 Mexico, Mexico;4. Instituto Mexicano del Petroleo, Eje Central Lazaro Cardenas Norte 152, Col. San Bartolo Atepehuacan, 07730 Mexico, Mexico;1. Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. School of Geosciences, China University of Petroleum (East China), Qingdao 266580, China;4. SINOPEC Petroleum Exploration & Production Research Institute, Beijing 100083, China;1. European Centre of Excellence, NTIS – New Technologies for Information Society Faculty of Applied Sciences, University of West Bohemia, Technická 2967, 30614 Pilsen, Czech Republic;2. Université Paris-Est, Laboratoire Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, 61 avenue du Général de Gaulle, 94010 Créteil cedex, France
Abstract:It is known that sedimentary rocks demonstrate velocity dispersion in the acoustic log frequency range. In this paper we have calculated the waveforms of sonic log for a borehole located in a viscoelastic medium. The acoustic field in the borehole has been obtained for acoustic multipole sources. To describe the viscoelastic properties of a rock we used the Cole–Cole model. This model describes the dispersion of acoustic wave velocities and quality factors in a wide frequency range. To solve the acoustic log direct problem we have applied the double integral Fourier transform (RAI method). The results obtained have shown the feasibility of S-wave velocity dispersion estimation from acoustic dipole waveform processing.
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