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利用二维Fourier变换与电磁场分解技术将层状横向同性地层中Maxwell方程转化成两个独立的关于横磁(TM)波和横电(TE)波的传输线方程;借助传输线理论与叠加原理,仅利用电流源传输线Green函数得到TM波和TE波的解,改进传输线算法,建立横向同性地层中频率-波数域电流源电场和磁场并矢Green函数的新算法与新的解析表达式,提高海洋可控源电磁响应数值模拟效率.在此基础上,利用传输线Green函数的基本解以及边界条件,推导出广义反射系数与振幅递推公式,得到各个地层中传输线Green函数的解析解;然后利用Fourier逆变换与Bessel公式将海洋可控源电磁响应表示为Sommerfeld形式的积分,借助三次样条插值与Lommel积分公式快速计算其数值解.通过数值模拟结果考察工作频率以及地层各向异性电阻率变化等对海洋电磁响应的影响.
The two-dimensional Fourier transform and electromagnetic field decomposition techniques are used to transform the Maxwell equation in the layered transversely isotropic formation into two independent transmission line equations for transverse magnetic (TM) and transverse (TE) waves. With the aid of the transmission line theory and the superposition principle, only By using Green function of current source transmission line, the solutions of TM wave and TE wave are obtained, and the transmission line algorithm is improved. A new algorithm and a new analytical expression of electric field and magnetic field of electric field and magnetic field in transversely isotropic stratigraphy are established, Based on this, the generalized reflection coefficient and amplitude recursion formula of generalized reflection coefficient and amplitude are deduced by using the basic solution of the Green function of the transmission line and the boundary conditions, and the analytical solutions of the Green function of the transmission line in each formation are obtained. Then, Transform and Bessel Formulas The electromagnetic response of marine controllable source is expressed as integral of Sommerfeld form, and its numerical solution is calculated rapidly by means of cubic spline interpolation and Lommel integral formula. The results of numerical simulation are used to investigate the variation of working frequency and anisotropic resistivity of formation Impact of Marine Electromagnetic Response.