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在假设声场不受电磁场影响的前提下,将Pride声电耦合方程组化为具有电流源的麦克斯韦方程组.与空间位置固定的电流源产生的电磁场不同,孔隙地层中声波诱导的电磁场是由空间波动的电流源产生的.通过引入赫兹矢量,将求解麦克斯韦方程组问题转化为求解关于赫兹矢量的非齐次矢量赫姆霍兹方程组.通过求解该方程组,得出电磁场表达式.利用此方法,针对声电效应测井,分别计算了由单极声源、偶极声源、四极声源激发的井内声场及其诱导电磁场的全波波形.
Under the assumption that the sound field is not affected by the electromagnetic field, the Pride acousto-electric coupling equations are transformed into Maxwell’s equations with current source. Unlike the electromagnetic field generated by a stationary current source, the acoustic induced electromagnetic field in the pore formation is composed of space By introducing the Hertz vector, the problem of solving the Maxwell’s equations is transformed into the solution of the Hertz’s equations of the Hertzian vector, which is obtained by solving the equations. By using this Method, for the acoustic-acoustic logging, the full-wave waveform of the well-field and its induced electromagnetic field excited by the unipolar sound source, the dipole sound source and the quadrupole sound source are respectively calculated.