Abstract
3D SIP inversion algorithm involves multiple parameters, and the key is the calculating speed and memory. A whole set of quasi-linear (QL) theories has taken shape in recent years, including the QL approximation method proposed by Zhdanov, quasi-analytic approximation, and localized quasi-linear (LQL) approximation. They are characterized by high speed and accuracy in electromagnetic field numerical modeling. The above-based 3D QL inversion algorithm, boasting quicker calculating speed plus more stable and favorable inversion effect, has been adopted profoundly in electromagnetic prospecting, whereas its frequent source conversion requires recalculating the dyadic Green’s function and primary field each time, thus delaying the 3D SIP modeling speed. This study makes use of the spatial symmetry in the primary field and Green function to propose an effective and quicker QL forward modeling method, which has the hallmark of higher calculating speed owing to less calculating times, and makes feasible the 3D SIP conjugate gradient inversion algorithm with Cole–Cole parameter range constraints.
Highlights
SIP, a branch of the induced polarization (IP) method, is capable of working out the resistivity and polarizability parameters and frequency-related coefficient, as well as a time constant. e latter two can distinguish 3D abnormal bodies based on the structure. is means a lot in identifying deep minerals, defining local enriched mineralized areas, and assessing the prospect [1]
That the speed and accuracy of calculation are decisive for the method’s application prospect, this study introduces the QL approximation method into 3D SIP forward and inversion modeling research by taking advantage of the spatial symmetry of the primary field and Green’s coefficient to explore a speedy QL approximation method. is method optimizes and quickens the algorithms and greatly promotes the accuracy of high-frequency spectrum electromagnetic modeling
SIP inversion, involving enormous memory, tremendous calculations with a severe multiplicity of solutions, and especially complicated physical parameters, is a challenging task highly demanding for the performance of forward and inversion methods. is paper proposes a QL approximation method with higher calculating speed to lay a foundation for thorough research on multisource electromagnetic forward and inversion modeling and makes the 3D SIP inversion algorithm doable with the Cole–Cole model parameter range constraints
Summary
SIP, a branch of the induced polarization (IP) method, is capable of working out the resistivity and polarizability parameters and frequency-related coefficient, as well as a time constant. e latter two can distinguish 3D abnormal bodies based on the structure. is means a lot in identifying deep minerals, defining local enriched mineralized areas, and assessing the prospect [1]. That the speed and accuracy of calculation are decisive for the method’s application prospect, this study introduces the QL approximation method into 3D SIP forward and inversion modeling research by taking advantage of the spatial symmetry of the primary field and Green’s coefficient to explore a speedy QL approximation method. Is method optimizes and quickens the algorithms and greatly promotes the accuracy of high-frequency spectrum electromagnetic modeling It can effectively measure the complicated geoelectric structures to apply in large-scale IP data inversion.
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