Method and device for analyzing dispersion and attenuation of unsaturated double-porosity medium earthquake waves
A dual-porosity and analysis method technology, applied in the field of seismic rock physics model and seismic wave numerical simulation, can solve problems such as difficulty in popularization and application, high consumption of algorithms, and inability to achieve quantitative prediction of seismic response.
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example 1
[0160] Comparison of the prediction results of P-wave velocity and attenuation by Biot-Rayleigh theory, Johnson theory and White theory:
[0161] In order to check the rationality of the Biot-Rayleigh theory extended to unsaturated rock conditions, an unsaturated rock physical model was designed, and the three theories of Biot-Rayleigh, Johnson and White were used to predict the P-wave velocity and energy attenuation. The results were compared and analyzed. The rock parameters are: matrix bulk modulus 35GPa, skeleton bulk modulus 7Gpa, skeleton shear modulus 9Gpa, water bulk modulus 2.25GPa, air bulk modulus 0.1MPa, water viscosity 0.001Pa*s, air viscosity 0.00001Pa*s , the average density of the matrix is 2.65g / cm 3 , water density 0.99g / cm 3 , air density 0.1g / cm 3 , the porosity is 0.15, the permeability is 0.1D, the average bubble size is 0.25m, and the air saturation is 0.95. Image 6 and Figure 7 It is a schematic diagram of the comparison of the results of the thr...
example 2
[0163] Quantitative prediction of velocity and attenuation of full-band unsaturated rock compressional waves:
[0164] Design an unsaturated rock physics model, the basic rock physics parameters are: quartz bulk modulus 39GPa, sandstone consolidation coefficient 15, water bulk modulus 2.51×10 9 Pa, gas bulk modulus 1.44×10 5 Pa, water viscosity 0.001Pa*s, gas viscosity 0.000022Pa*s, average density of sandstone particles 2.69g / cm 3 , water density 1.04g / cm 3 , gas density 0.01g / cm 3 , average bubble size lmm, porosity 0.11, permeability 0.5mD. Figure 8 and Figure 9 Schematic diagrams of changes in longitudinal wave velocity and attenuation when the frequency is 0.1-10 MHz and the saturation is 0-100%, respectively.
example 3
[0166] Comparison of wave velocity observation data of broadband unsaturated rocks with high porosity sandstone in the North Sea:
[0167] In order to verify the applicability of the theoretical results in this paper, the broadband unsaturated rock wave velocity observation data published by Adam and Batzle in 2006 and the results predicted by the Biot-Rayleigh theory of the present invention were used for comparative analysis. The high-porosity sandstone comes from the North Sea, the main component is quartz, the porosity is 0.35, the permeability is 8.7D, and the average size of bubbles is 5mm. Figure 10 It is the variation trend diagram of compressional wave velocity with saturation at seismic frequency (<100Hz), logging frequency (50KHz) and ultrasonic frequency (500kHz) for laboratory observation data and Biot-Rayleigh theoretical prediction data.
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