U.S. patents available from 1976 to present.
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Method and system for coordinate transformation to model radial flow near a singularity

Patent 7149671 Issued on December 12, 2006. Estimated Expiration Date: Icon_subject June 29, 2021. Estimated Expiration Date is calculated based on simple USPTO term provisions. It does not account for terminal disclaimers, term adjustments, failure to pay maintenance fees, or other factors which might affect the term of a patent.

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Inventors

Assignee

Application

No. 09896101 filed on 06/29/2001

US Classes:

703/9, Fluid702/6, Well logging or borehole study703/2, MODELING BY MATHEMATICAL EXPRESSION715/821, Emphasis174/69, Extensible606/5, Recurving or reshaping of the eye382/294, Registering or aligning multiple images to one another367/38, Signal analysis and/or correction703/10, Well or reservoir702/159, By reflected signal (e.g., ultrasonic, light, laser)600/33REPRODUCTION AND FERTILIZATION TECHNIQUES

Examiners

Primary: Shah, Kamini
Assistant: Stevens, Tom

Attorney, Agent or Firm

Foreign Patent References

  • 0 709 789 EP 05/01/1996
  • 0 801 364 EP 07/01/2003
  • 2775094 FR 08/01/1999
  • 2326747 GB 12/01/1998
  • WO 99/40532 WO 08/01/1999
  • WO 99/52048 WO 10/01/1999
  • WO 99/57418 WO 11/01/1999
  • WO 02/01251 WO 01/01/2002
  • WO 02/02901 WO 01/01/2002
  • WO 02/03101 WO 01/01/2002
  • WO 02/03103 WO 01/01/2002
  • WO 02/03262 WO 01/01/2002
  • WO 02/03263 WO 01/01/2002
  • WO 02/03264 WO 01/01/2002
  • WO 02/03265 WO 01/01/2002

International Classes

G06G 7/50
G06G 7/60
G06V 1/40

Abstract

A method and system for predicting the behavior of a physical system are disclosed. One embodiment of the method of this invention comprises the steps of creating an equation in a first coordinate system to model an aspect of the physical system; applying a coordinate transformation to the equation to transform the equation from the first coordinate system into a second coordinate system more closely representative of an analytical solution to the equation; solving the equation in the second coordinate system to obtain a solution; transforming the solution back to the first coordinate system; creating a second equation in the first coordinate system to model a second aspect of the physical system; solving the second equation in the first coordinate system to obtain a solution to the second equation; and combining the mapped solution to the first equation and the solution to the second equation in the first coordinate system to obtain a combined solution. One embodiment of the system of this invention comprises a computer-readable medium containing a plurality of instructions embodying the above method.

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