根据DarZarrouk曲线与视电阻率曲线基本重合的性质,以及纵向电导和横向电阻的概念,推导出一种利用视电阻率曲线直接反演垂向电阻率分布的方法。把大地表示为一维层状均匀模型,每个极距对应一个深度,深度之间地层电阻率不变,把某个深度之上的横向电阻率和纵向电阻率用对应的视电阻率代替。公式中不用求对数,只需简单的运算即可把视电阻率随极距变化的曲线直接转换为电阻率随深度变化的曲线。算例表明,本方法能反演复杂的一维模型,可以为进一步的精确反演提供初始模型。
Based on the Dar Zarrouk curves and the conception of longitudinal conductance and transverse resistance, a direct inversion method of one-dimension direct current sounding curves is derived. Earth is represented as 1-D layered homogeneous model, each polar distance corresponds to a depth, the resistivity between adjacent layers is homogeneous. The longitudinal conductance and transverse resistance over certain depth are replaced with the corresponding apparent resistivity. This method is simple, without calculating derivative and logarithm. The apparent resistivity curves can easily be transformed into the curves of resistivity vs depth. The inversion results can be used as initial model for more accuracy inversion.