Claims
- 1. A method for predicting the behavior of a physical system, comprising the steps of:
creating an equation in a first coordinate system to model an aspect of said physical system; applying a coordinate transformation to said equation for transforming said equation from said first coordinate system into a second coordinate system more closely representative of an analytical solution to said equation; solving said equation in said second coordinate system to obtain a solution; and transforming said solution back to said first coordinate system.
- 2. The method of claim 1, further comprising the step of generating a mesh to model said physical system.
- 3. The method of claim 1, wherein said first coordinate system is a Cartesian coordinate system.
- 4. The method of claim 1, wherein said second coordinate system is a radial coordinate system.
- 5. The method of claim 4, wherein said radial coordinate system comprises the coordinates (s, θ, z), wherein s=ln(r).
- 6. The method of claim 1, wherein said second coordinate system is a coordinate system where said solution is a linear solution.
- 7. The method of claim 1, wherein said physical system is a well bore.
- 8. The method of claim 1, wherein said physical system is a reservoir having a singularity.
- 9. The method of claim 8, wherein said singularity is a well bore.
- 10. The method of claim 1, wherein said aspect is a physical property of said system.
- 11. The method of claim 10, wherein said physical property is pressure.
- 12. The method of claim 1, wherein said physical system is a pointload or a heatsink.
- 13. The method of claim 1, wherein said physical system comprises a fracture or fault.
- 14. The method of claim 1, further comprising the steps of:
creating a second equation in said first coordinate system to model a second aspect of said physical system; solving said second equation in said first coordinate system to obtain a solution to said second equation; and combining said transformed solution to said first equation and said solution to said second equation in said first coordinate system to obtain a combined solution.
- 15. The method of claim 1, wherein said coordinate transformation comprises a mapping from said first coordinate system to said second coordinate system.
- 16. The method of claim 1, wherein said aspect is radial fluid flow near a singularity.
- 17. The method of claim 16, wherein said singularity is a well bore in a reservoir.
- 18. The method of claim 1, wherein said coordinate transformation is performed via computer executable software instructions.
- 19. The method of claim 1, wherein said method is implemented using a graphical user interface.
- 20. A computer-readable medium containing a plurality of instructions embodying a method for predicting the behavior of a physical system, said method comprising the steps of:
creating an equation in a first coordinate system to model an aspect of said physical system; applying a coordinate transformation to said equation for transforming said equation from said first coordinate system into a second coordinate system more closely representative of an analytical solution to said equation; solving said equation in said second coordinate system to obtain a solution; and transforming said solution back to said first coordinate system.
- 21. The computer-readable medium of claim 20, said method further comprising the step of generating a mesh to model said physical system.
- 22. The computer-readable medium of claim 20, wherein said first coordinate system is a Cartesian coordinate system.
- 23. The computer-readable medium of claim 20, wherein said second coordinate system is a radial coordinate system.
- 24. The computer-readable medium of claim 23, wherein said radial coordinate system comprises the coordinates (s, θ, z) , wherein s=ln(r).
- 25. The computer-readable medium of claim 20, wherein said second coordinate system is a coordinate system where said solution is a linear solution.
- 26. The computer-readable medium of claim 20, wherein said physical system is a well bore.
- 27. The computer-readable medium of claim 20, wherein said physical system is a reservoir having a singularity.
- 28. The computer-readable medium of claim 27, wherein said singularity is a well bore.
- 29. The computer-readable medium of claim 20, wherein said aspect is a physical property of said system.
- 30. The computer-readable medium of claim 20, wherein said physical property is pressure.
- 31. The computer-readable medium of claim 20, wherein said physical system is a pointload or a heatsink.
- 32. The computer-readable medium of claim 20, wherein said physical system comprises a fracture or fault.
- 33. The computer-readable medium of claim 20, wherein said method further comprises the steps of:
creating a second equation in said first coordinate system to model a second aspect of said physical system; solving said second equation in said first coordinate system to obtain a solution to said second equation; and combining said transformed solution to said first equation and said solution to said second equation in said first coordinate system to obtain a combined solution.
- 34. The computer-readable medium of claim 20, wherein said coordinate transformation comprises a mapping from said first coordinate system to said second coordinate system.
- 35. The computer-readable medium of claim 20, wherein said aspect is radial fluid flow near a singularity.
- 36. The computer-readable medium of claim 35, wherein said singularity is a well bore in a reservoir.
- 37. The computer-readable medium of claim 20, wherein said method is implemented using a graphical user interface.
- 38. A method for predicting the behavior of a physical system, comprising the steps of:
creating an equation in a first coordinate system to model an aspect of said physical system; mapping said equation from said first coordinate system into a second coordinate system more closely representative of an analytical solution to said equation; solving said equation in said second coordinate system to obtain a solution; mapping said solution back to said first coordinate system; creating a second equation in said first coordinate system to model a second aspect of said physical system; solving said second equation in said first coordinate system to obtain a solution to said second equation; and combining said mapped solution to said first equation and said solution to said second equation in said first coordinate system to obtain a combined solution.
- 39. The method of claim 38, further comprising the step of generating a mesh to model said physical system.
- 40. The method of claim 38, wherein said first coordinate system is a Cartesian coordinate system.
- 41. The method of claim 38, wherein said second coordinate system is a radial coordinate system.
- 42. The method of claim 41, wherein said radial coordinate system comprises the coordinates (s, θ, z), wherein s=ln(r).
- 43. The method of claim 38, wherein said second coordinate system is a coordinate system where said solution is a linear solution.
- 44. The method of claim 38, wherein said physical system is a well bore.
- 45. The method of claim 38, wherein said physical system is a reservoir having a singularity.
- 46. The method of claim 45, wherein said singularity is a well bore.
RELATED INFORMATION
[0001] This application claims priority under 35 U.S.C. 119(e) to provisional patent application No. 60/215,697, filed Jun. 29, 2000, entitled “Method and System for Oil Reservoir Simulation and Modeling,” which is hereby fully incorporated by reference.
Provisional Applications (1)
|
Number |
Date |
Country |
|
60215697 |
Jun 2000 |
US |