Cole-cole Model Is Equivalent To The Simulation Of Transient Electromagnetic Response

Cole-Cole model currently used primarily in IP and biopharmaceutical aspects. The process of building transient electromagnetic and its additional effect such as galvanic induced polarization, magnetic relaxation effects and so on, are all of relaxation characteristics. Cole-Cole model is the most classical mathematical and physical model to explain the relaxation effects, therefore, based on Cole-Cole model of transient electromagnetic response is important.Paper briefly describes the origin of Cole-Cole model, citing examples of various parameters on the Cole-Cole models. Then the level of layered media is derived in detail under the conditions, based on Cole-Cole model of central loop transient electromagnetic method to solve the step response and calculation methods, and obtained a circular loop center of the magnetic field vertical component of the expression. For the integral kernel function, the overall trends and specific frequencies through the two areas, and obtains the Cole-Cole model with the actual trend of the kernel function is similar to the resistivity model in the real application, so numerical algorithms can also be applied to Cole-Cole model. Also the improved linear filter was chosen by two comparisons of computation time and accuracy, and prepared one-dimensional forward program of the Cole-Cole model. In the compilation process is performed based on two and three are calculated geological model of two Cole-Cole model in the resistivity of the various parameters on the transient electromagnetic decay curves. By changing Cole-Cole model in the same parameters to compare the same parameters under different conditions of transient electromagnetic attenuation curve of the characteristics and laws, reached the following conclusions:the chargeability m varied between 0.1 and 0.9, based on Cole-Cole model of transient electromagnetic decay curve of the attenuation trend of decrease with the increase of m, but little change; the frequency dependence c between 0.1～0.9 changes, the decay curve of the attenuation trend with the c value increases, but this attenuation is not very clear trend of change; the time constantτvalue of the Cole-Cole model of transient electromagnetic trends affecting the decay curve, but the time constantτand electromagnetic decay curve of the change is not a simple relationship between positive and negative ratio.Finally using Cole-Cole model and the real resistivity model in Dachang area, measured in a measuring point of the transient electromagnetic response of the forward curve fitting, real resistivity model curve fitting from beginning to end positive attenuation, and Cole-Cole model can fit the transient electromagnetic decay curve and can fit a negative phenomenon, so as to achieve quantitative interpretation of polarized media basis.