Imaging the Cheops Pyramid by H. D. Bui
By H. D. Bui
In this e-book Egyptian Archeology and arithmetic meet.
The writer is knowledgeable in theories and purposes in reliable Mechanics and Inverse difficulties, a former professor at Ecole Polytechnique and now works with Electricité de France on upkeep operations on nuclear energy vegetation. within the Autumn of 1986, after the tip of the operation at the King’s chamber carried out below the Technological and medical Sponsorship of EDF, to find a hollow space, he used to be known as to resolve a mathematical inverse challenge, to discover the unknown tomb of the King and the density constitution of the complete pyramid in line with measurements of microgravity made in and out of the pyramid.
This booklet recounts a number of the seek operations at the pyramid of Cheops made on the request of the Egyptian and French gurus in 1986-1987. After the untimely finish of the Cheops operation within the Autumn of 1986, following the fiasco of unsuccessful drillings within the zone suspected via either architects G. Dormion and J.P. Goidin and microgravity auscultation, EDF and CPGF (a geophysical corporation) groups persisted their researches with measurements already made, attempting this time an inversion of the Newton gravity equation for the full pyramid and utilizing one other theoretical group led via the writer. The inverse challenge answer proven the result of auscultations, yet came across no hollow space. besides the fact that, identical to the common density on the floor of the complete pyramid types a kind of sq. “spiral” most likely concerning the development approach. In 2000, Jean-Pierre Houdin thought of the author’s result of 1988 as a affirmation of his thought of the inner ramp tunnel. given that then the writer has performed extra learn and located that classical theories of the development in keeping with levels and the actual mode of stones filling may also file an identical densitogram. The booklet is richly illustrated with colour figures. it really is dotted with info relating Physics, Mechanics and the background of Egyptian Antiquities. The e-book ends with the best secret of the pyramid in regards to the unknown tomb of the King and a dream to determine the tomb at an unforeseen place.
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Extra info for Imaging the Cheops Pyramid
It was due to the facts that constant C was taken a too high value and the constraints ρ ≤ ρgranite was not considered in this computation. A finer model solution will satisfy the granite density constraint. 50 T/m3 , the density is about 2 T/m3 , as shown in Fig. 15. 85 T/m3 .
N, with the total number N, we can set a mean elementary and constant unknown density dn or ρn ≥ 0 to each element, the ensemble of elementary elements ρn defines a vector X = (ρ1 , ρ2 . . , ρN ) called “unknowns” of an Euclidian space RN of N dimensions, with components Xn = ρn . Gravity measurements at M points define another vector G = (G1 , G2 , . . , GM ) of the Euclidian space RM . The difference between measurement G and the Bouguer correction gB constitutes the « data » vector called b.
Unfortunately, the drilling operation was negative for the unknown tomb. Mathematicians and Computer science specialists knew that there was no simple relation between exploration and inversion especially in 3D. But the harm was done and EDF Directorate stopped the Cheops operation (12) . Fig. 14 Three-dimensional meshes: 1 element (the pyramid) for obtaining the mean density, 34 macro-elements, then 2 000 micro-elements for the densitogram (EDF-CPGF) If the King Chamber operation was negative for everybody, it was not for our research team.