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Boundary normal pressure-based electrical conductivity reconstruction for magneto–acoustic tomography with magnetic induction 被引量:1
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作者 郭各朴 丁鹤平 +1 位作者 戴思捷 马青玉 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第8期193-200,共8页
As a kind of multi-physics imaging approach integrating the advantages of electrical impedance tomography and ul- trasound imaging with the improved spatial resolution and image contrast, magneto-acoustic tomography w... As a kind of multi-physics imaging approach integrating the advantages of electrical impedance tomography and ul- trasound imaging with the improved spatial resolution and image contrast, magneto-acoustic tomography with magnetic induction (MAT-MI) is demonstrated to have the capability of electrical impedance contrast imaging for biological tissues with conductivity differences. By being detected with a strong directional transducer, abrupt pressure change is proved to be generated by the gradient of the induced Lorentz force along the force direction at conductivity boundary. A simplified boundary normal pressure (BNP)-based conductivity reconstruction algorithm is proposed and the formula for conductivity distribution inside the object with the clear physical meaning of pressure derivative, is derived. Numerical simulations of acoustic pressure and conductivity reconstruction are conducted based on a 2-layer eccentric cylindrical phantom model using Hilbert transform. The reconstructed two-dimensional conductivity images accord well with the model, thus success- fully making up the deficiency of only imaging conductivity boundary in traditional MAT-MI. The proposed method is also demonstrated to have a spatial resolution of one wavelength. This study provides a new method of reconstructing accurate electrical conductivity and suggests the potential applications of MAT-MI in imaging biological tissues with conductivity difference. 展开更多
关键词 magneto-acoustic tomography with magnetic induction boundary normal pressure conductivityreconstruction pressure derivative Hilbert transform
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HORIZONTAL WELL PRESSURE ANALYSIS IN BOX-BOUNDED RESERVOIRS
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作者 王晓冬 刘慈群 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第4期315-320,共6页
In this paper, solutions to the 3D transient flow mathematical model for horizontal wells in box-rounded reservoirs are presented. The solutions are derived in Laplace transform domain by employing integral transform ... In this paper, solutions to the 3D transient flow mathematical model for horizontal wells in box-rounded reservoirs are presented. The solutions are derived in Laplace transform domain by employing integral transform and point-source superposition. Both efficient computation of pressure responses and practical technology of oil field application mentioned here may be used to interpret the data from unsteady-state horizontal well testing. 展开更多
关键词 horizontal well transient flow in porous media mathematical model pressure pressure derivatives well test analysis
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