IP Library Granted Patent US 8,150,663
Granted Patent B2
US 8,150,663 · App. 11/729,980 · Granted Apr 3, 2012

Partitioning algorithm for building a stratigraphic grid

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Quick Facts
Patent No.
US 8,150,663
App. No.
11/729,980
Granted
Apr 3, 2012
Kind
B2
Abstract

Embodiments of the invention provide a system and method for partitioning data for modelling a geological structure including laterally partitioning the data into multiple columns, where each column may be substantially laterally centered about a dual fiber and vertically partitioning each column at each of multiple intersection points of multiple surfaces and the dual fiber about which the column may be substantially laterally centered.

Claims (29)

1. A method for partitioning a model of a geological structure, the method comprising, in a processor:

laterally partitioning the model into a plurality of columns, wherein each column is laterally centered about a center-line;

for each column, generating a plurality of points representing the intersection of the center-line of the column and each of a plurality of geological surfaces representing horizons and faults; and

at each of the plurality of intersection points of each column, vertically partitioning the column by generating a continuous surface which approximates the orientation of the geological surface at the intersection point:

to generate a single facet at the intersection of the continuous surface and the column; and

to partition the column into a plurality of hexahedral cells, whether or not the geological surface at the intersection point represents a horizon cut by a fault.

2. The method of claim 1 , wherein laterally partitioning the data comprises generating a plurality of hexahedral cells laterally centered about a center-line.

3. The method of claim 1 , wherein the center-line is a vertical projection of a center point of a polygonal partition of a plane oriented parallel to a reference horizon for the model.

4. The method of claim 3 , wherein the polygonal partition is a rectangular partition.

5. The method of claim 1 , wherein the center-line is a vertical projection of a center point of a rectangular partition of a curved surface that approximates the orientation of a reference horizon for the model.

6. The method of claim 1 , wherein the continuous surface at each intersection point is an infinite continuous surface.

7. The method of claim 1 , wherein the geological surface is approximated in a stair step way.

8. The method of claim 1 , wherein a geological surface represents an unconformity.

9. The method of claim 1 , further comprising merging collocated points and collocated vertical faces of adjacent columns.

10. A system for partitioning a model of a geological structure, the system comprising:

a processor for laterally partitioning the model into a plurality of columns, wherein each column is laterally centered about one of a plurality of center-lines, for each column, generating a plurality of points representing the intersection of the center-line of the column and each of a plurality of geological surfaces representing horizons and faults, and at each of the plurality of intersection points of each column, vertically partitioning the column by generating a continuous surface which approximates the orientation of the geological surface at the intersection point:

to generate a single facet at the intersection of the continuous surface and the column; and

to partition the column into a plurality of hexahedral cells, whether or not the geological surface at the intersection point represents a horizon cut by a fault; and

a display for visualizing the partitioned model.

11. The system of claim 10 , wherein the continuous surface at each intersection point is an infinite continuous surface.

12. The system of claim 10 , wherein a geological surface represents an unconformity.

13. The system of claim 10 , wherein the processor merges collocated points and collocated vertical faces of adjacent columns.

14. The system of claim 10 , wherein the display visualization includes a reference point of each of the cells labeled with an assigned pseudo geological time associated with the deposition of the sediments corresponding to the geological surfaces.

15. The method of claim 1 , comprising labelling a reference point of each of the cells with an assigned pseudo geological time associated with the deposition of sediments corresponding to the geological surfaces.

16. The method of claim 1 , wherein the center-lines are dual fibers that are parallel straight lines approximately orthogonal to a geological surface and launched from the centers of a rectangular mesh.

17. The system of claim 10 , wherein the processor labels a reference point of each of the cells with an assigned pseudo geological time associated with the deposition of sediments corresponding to the geological surfaces.

18. The system of claim 10 , wherein the center-lines are dual fibers that are parallel straight lines approximately orthogonal to a geological surface and launched from the centers of a rectangular mesh.

19. The method of claim 1 , wherein the single facet is rectangular.

20. The system of claim 10 , wherein the single facet is rectangular.

Assignments (19)
RELEASE OF SECURITY INTEREST Recorded Aug 15, 2024
From: ROYAL BANK OF CANADA
To: PINNACLE MIDCO S.AR.L; PINNACLE HOLDCO S.AR.L; PINNACLE (GIBRALTAR) ACQUISITION CO LIMITED; PINNACLE (US) ACQUISITION CO LIMITED; PARADIGM LTD.; PARADIGM LUXEMBOURG HOLDINGS S.AR.L; PARADIGM SCIENCES LTD.; PARADIGM B.V.; PARADIGM SERVICES CORP.; PARADIGM GEOSERVICES CANADA LTD.; PARADIGM WORLDWIDE LTD.; PARADIGM GEOPHYSICAL (LUXEMBOURG), S.AR.L; PARADIGM GEOPHYSICAL CORP.; PARADIGM GEOPHYSICAL LTD.
Reel/Frame 068298/0966 →
SECURITY INTEREST Recorded Jul 18, 2024
From: ASPENTECH CORPORATION; ASPEN PARADIGM HOLDING LLC
To: JPMORGAN CHASE BANK, N.A., AS ADMINISTRATIVE AGENT
Reel/Frame 068424/0341 →
CHANGE OF NAME Recorded Oct 31, 2022
From: EMERSON PARADIGM HOLDING LLC
To: ASPEN PARADIGM HOLDING LLC
Reel/Frame 061805/0784 →
SECURITY INTEREST Recorded Aug 12, 2022
From: ASPENTECH CORPORATION F/K/A ASPEN TECHNOLOGY, INC.; EMERSON PARADIGM HOLDINGS LLC; PARADIGM GEOPHYSICAL CORP.; OPEN SYSTEMS INTERNATIONAL, INC.
To: JPMORGAN CHASE BANK, N.A., AS ADMINISTRATIVE AGENT
Reel/Frame 061161/0782 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Jun 26, 2018
From: PARADIGM B.V.; PARADIGM GEOPHYSICAL, CORP.
To: EMERSON PARADIGM HOLDING LLC
Reel/Frame 046199/0355 →
RELEASE OF SECURITY INTEREST RECORDED AT REEL/FRAME 028719/0308 Recorded Dec 1, 2017
From: UBS AG, STAMFORD BRANCH
To: PARADIGM SERVICES CORP.; PARADIGM GEOPHYSICAL CORP.; PARADIGM LTD.; PINNACLE (US) ACQUISITION CO LIMITED; PARADIGM GEOPHYSICAL LIMITED; PARADIGM GEOSERVICES CANADA LTD.; PARADIGM LUXEMBOURG HOLDINGS S.A.R.L.; PARADIGM GEOPHYSICAL (LUXEMBOURG) S.A.R.L.; PARADIGM WORLDWIDE LTD.; PINNACLE MIDCO S.A.R.L.; PARADIGM HOLDCO S.A.R.L.; PARADIGM (GIBRALTAR) ACQUISITION CO LIMITED
Reel/Frame 044616/0750 →
RELEASE OF SECURITY INTEREST RECORDED AT REEL/FRAMES 28734/0805 AND 28925/0097 Recorded Dec 1, 2017
From: ROYAL BANK OF CANADA
To: PARADIGM SERVICES CORP.; PARADIGM GEOPHYSICAL CORP.; PARADIGM LTD.; PINNACLE (US) ACQUISITION CO LIMITED; PARADIGM GEOPHYSICAL LIMITED; PARADIGM GEOSERVICES CANADA LTD.; PARADIGM LUXEMBOURG HOLDINGS S.A.R.L.; PARADIGM GEOPHYSICAL (LUXEMBOURG) S.A.R.L.; PARADIGM WORLDWIDE LTD.; PARADIGM SCIENCES LTD.; PINNACLE MIDCO S.A.R.L.; PINNACLE HOLDCO S.A.R.L.; PARADIGM (GIBRALTAR) ACQUISITION CO LIMITED
Reel/Frame 044616/0809 →
RELEASE OF SECURITY INTEREST RECORDED AT REEL/FRAME 028719/0099 Recorded Dec 1, 2017
From: UBS AG, STAMFORD BRANCH
To: PARADIGM SERVICES CORP.; PARADIGM GEOPHYSICAL CORP.; PARADIGM LTD.; PINNACLE (US) ACQUISITION CO LIMITED; PINNACLE (GIBRALTAR) ACQUISITION CO LIMITED; PARADIGM GEOPHYSICAL LIMITED; PARADIGM GEOSERVICES CANADA LTD.; PARADIGM LUXEMBOURG HOLDINGS S.A.R.L.; PARADIGM GEOPHYSICAL (LUXEMBOURG) S.A.R.L.; PARADIGM WORLDWIDE LTD.; PARADIGM SCIENCES LTD.; PINNACLE MIDCO S.A.R.L.; PINNACLE HOLDCO S.A.R.L.
Reel/Frame 044616/0820 →
RELEASE OF SECURITY INTEREST RECORDED AT REEL/FRAME 028720/0088 Recorded Dec 1, 2017
From: UBS AG, STAMFORD BRANCH
To: PARADIGM SERVICES CORP.; PARADIGM GEOPHYSICAL CORP.; PARADIGM LTD.; PINNACLE (US) ACQUISITION CO LIMITED; PINNACLE (GIBRALTAR) ACQUISITION CO LIMITED; PARADIGM GEOPHYSICAL LIMITED; PARADIGM GEOSERVICES CANADA LTD; PARADIGM LUXEMBOURG HOLDINGS S.A.R.L.; PARADIGM GEOPHYSICAL (LUXEMBOURG) S.A.R.L.; PARADIGM WORLDWIDE LTD.; PARADIGM SCIENCES LTD.; PINNACLE MIDCO S.A.R.L.; PINNACLE HOLDCO S.A.R.L.
Reel/Frame 044616/0846 →
COMPANY DISSOLUTION Recorded Nov 27, 2017
From: PARADIGM GEOPHYSICAL (LUXEMBOURG) S.A.R.L.
To: PARADIGM BV
Reel/Frame 044511/0067 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Nov 27, 2017
From: PARADIGM GEOPHYSICAL (LUXEMBOURG) S.A.R.L.
To: PARADIGM GEOPHYSICAL, CORP.
Reel/Frame 044223/0203 →
CORRECTIVE ASSIGNMENT TO CORRECT THE NATURE OF THE CONVEYANCE AND INCORRECT SN INADVERTENTLY INCLUDED, 12/420417 SHOULD BE 12/042417 PREVIOUSLY RECORDED ON REEL 028734 FRAME 0805. ASSIGNOR(S) HEREBY CONFIRMS THE SECOND LIEN SECURITY AGREEMENT. Recorded Sep 10, 2012
From: PINNACLE MIDCO S.A.R.L.; PINNACLE HOLDCO S.A.R.L.; PARADIGM SERVICES CORP.; PARADIGM GEOPHYSICAL CORP.; PINNACLE (US) ACQUISITION CO LIMITED; PARADIGM GEOSERVICES CANADA LTD.; PARADIGM LTD.; PARADIGM SCIENCES LTD.; PARADIGM WORLDWIDE LTD.; PINNACLE (GIBRALTAR) ACQUISITION CO LIMITED; PARADIGM GEOPHYSICAL LIMITED; PARADIGM LUXEMBOURG HOLDINGS S.A.R.L.; PARADIGM GEOPHYSICAL (LUXEMBOURG), S.A.R.L.; PARADIGM B.V.
To: ROYAL BANK OF CANADA, AS COLLATERAL AGENT
Reel/Frame 028925/0097 →
SECOND LIEN SECURITY AGREEMENT Recorded Aug 6, 2012
From: PINNACLE MIDCO S.A.R.L.; PINNACLE HOLDCO S.A.R.L.; PARADIGM SERVICES CORP.; PARADIGM GEOPHYSICAL CORP.; PINNACLE (US) ACQUISITION CO LIMITED; PARADIGM GEOSERVICES CANADA LTD.; PARADIGM LTD.; PARADIGM SCIENCES LTD.; PARADIGM WORLDWIDE LTD.; PINNACLE (GIBRALTAR) ACQUISITION CO LIMITED; PARADIGM GEOPHYSICAL LIMITED; PARADIGM LUXEMBOURG HOLDINGS S.A.R.L.; PARADIGM GEOPHYSICAL (LUXEMBOURG), S.A.R.L.; PARADIGM B.V.
To: ROYAL BANK OF CANADA, AS COLLATERAL AGENT
Reel/Frame 028735/0001 →
SECOND LIEN IP SECURITY AGREEMENT Recorded Aug 6, 2012
From: PINNACLE MIDCO S.A.R.L.; PINNACLE HOLDCO S.A.R.L.; PARADIGM SERVICES CORP.; PARADIGM GEOPHYSICAL CORP.; PINNACLE (US) ACQUISITION CO LIMITED; PARADIGM GEOSERVICES CANADA LTD.; PARADIGM LTD.; PARADIGM SCIENCES LTD.; PARADIGM WORLDWIDE LTD.; PINNACLE (GIBRALTAR) ACQUISITION CO LIMITED; PARADIGM GEOPHYSICAL LIMITED; PARADIGM LUXEMBOURG HOLDINGS S.A.R.L.; PARADIGM GEOPHYSICAL (LUXEMBOURG), S.A.R.L.
To: ROYAL BANK OF CANADA, AS COLLATERAL AGENT
Reel/Frame 028734/0651 →
SECOND LIEN IP SECURITY AGREEMENT Recorded Aug 6, 2012
From: PINNACLE MIDCO S.A.R.L.; PINNACLE HOLDCO S.A.R.L.; PARADIGM SERVICES CORP.; PARADIGM GEOPHYSICAL CORP.; PINNACLE (US) ACQUISITION CO LIMITED; PARADIGM GEOSERVICES CANADA LTD.; PARADIGM LTD.; PARADIGM SCIENCES LTD.; PARADIGM WORLDWIDE LTD.; PINNACLE (GIBRALTAR) ACQUISITION CO LIMITED; PARADIGM GEOPHYSICAL LIMITED; PARADIGM LUXEMBOURG HOLDINGS S.A.R.L.; PARADIGM GEOPHYSICAL (LUXEMBOURG), S.A.R.L.
To: ROYAL BANK OF CANADA, AS COLLATERAL AGENT
Reel/Frame 028734/0805 →
SECOND LIEN SHORT FORM IP SECURITY AGREEMENT Recorded Aug 6, 2012
From: PARADIGM GEOPHYSICAL CORP.; PARADIGM GEOPHYSICAL LIMITED; PARADIGM GEOPHYSICAL (LUXEMBOURG), S.A.R.L.; PARADIGM SCIENCES LTD.
To: ROYAL BANK OF CANADA, AS COLLATERAL AGENT
Reel/Frame 028734/0910 →
FIRST LIEN SHORT FORM IP SEC. AGREEMENT Recorded Aug 3, 2012
From: PARADIGM GEOPHYSICAL CORP.; PARADIGM GEOPHYSICAL LIMITED; PARADIGM GEOPHYSICAL (LUXEMBOURG), S.A R.L.; PARADIGM SCIENCES LTD.
To: UBS AG, STAMFORD BRANCH, AS COLLATERAL AGENT
Reel/Frame 028719/0099 →
FIRST LIEN SECURITY AGREEMENT Recorded Aug 3, 2012
From: PINNACLE MIDCO S.A R.L.; PINNACLE HOLDCO S.A R.L.; PARADIGM SERVICES CORP.; PARADIGM GEOPHYSICAL CORP.; PINNACLE (US) ACQUISITION CO LIMITED; PARADIGM GEOSERVICES CANADA LTD.; PARADIGM LTD.; PARADIGM SCIENCES LTD.; PARADIGM WORLDWIDE LTD.; PINNACLE (GIBRALTAR) ACQUISITION CO LIMITED; PARADIGM GEOPHYSICAL LIMITED; PARADIGM LUXEMBOURG HOLDINGS S.A R.L.; PARADIGM GEOPHYSICAL (LUXEMBOURG), S.A R.L.; PARADIGM B.V.
To: UGS AG, STAMFORD BRANCH, AS COLLATERAL AGENT
Reel/Frame 028720/0088 →
FIRST LIEN IP SECURITY AGREEMENT Recorded Aug 3, 2012
From: PINNACLE MIDCO S.A R.L.; PINNACLE HOLDCO S.A R.L.; PARADIGM SERVICES CORP.; PARADIGM GEOPHYSICAL CORP.; PINNACLE (US) ACQUISITION CO LIMITED; PARADIGM GEOSERVICES CANADA LTD.; PARADIGM LTD.; PARADIGM SCIENCES LTD.; PARADIGM WORLDWIDE LTD.; PINNACLE (GIBRALTAR) ACQUISITION CO LIMITED; PARADIGM GEOPHYSICAL LIMITED; PARADIGM LUXEMBOURG HOLDINGS S.A R.L.; PARADIGM GEOPHYSICAL (LUXEMBOURG), S.A R.L.
To: UBS AG, STAMFORD BRANCH, AS COLLATERAL AGENT
Reel/Frame 028719/0308 →