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The numerical stability can be enhanced as the matrix inversion calculation is avoided.
In the previous studies, the inversion calculation was done by a trial and error method of low efficiency.
Accurate prediction of the drilling status needs an effective inversion calculation of the relevant parameters of the drill string system.
The absolute arrival time observations and relative arrival time values are amalgamated in the inversion calculation and then weighted according to their estimated accuracies.
However, the accuracy of this technique is frequently hindered by spectral distortion problem due to amplification of errors in the FRF-matrix during an inversion calculation.
In traditional inversion calculation of friction factors, wellbore is divided into two sections, including cased hole and open hole, so that only two friction factors are introduced to characterize the drags in cased hole and open hole respectively.
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All the models included seven air layers in the default configuration, and the conductivity values of the seven air layers were fixed in all the inversion calculations.
The new structural model presented is based on a detailed 1 12,500 field survey of the area, whose results are illustrated in a comprehensive outcrop map, geological map and structural cross-sections, and stereographic projections and palaeostress inversion calculations of a mesostructural data set.
Since the results are analytical and closed-form, they can be directly implemented for analytical and numerical analysis without resorting to complex operations, such as inversion, recursive calculation or iteration computation.
In contrast to ESPRIT algorithm [13], this algorithm has a high computational load, which is usually dominated by formation of the covariance matrix, matrix inversion and calculation of EVD.
The sensitivity calculation used in this work is based on reciprocity theorem and directly affects the accuracy and efficiency of the inversion computation process.
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