planimeter for area depth

3
"AREA/DEPTH" VOLUMETRICS WORKBOOK USER NOTES Purpose This spreadsheet was designed to eliminate much of the drudgery in determining geometry factors for volumetrics estimation. Specifically, it: 1) eliminates manual drawing and planimetering of Area vs. Dep Plots, and 2) accurately calculates reservoir volumes and geometry factors. How to Use 1) As with normal volumetrics work, first determine: a) minimum, median, and maximum gross reservoir thicknesses, b) minimum, median, and maximum hydrocarbon column heights, c) cumulative planimetered areas within prospective map contours, and d) depths corresponding to those contours. 2) Startup the "Area/Depth" Excel workbook which contains a "Prospect Volumetrics "spreadsheet and a mac sheet 3) Enter the Prospect Name/Location, the prospective horizon, then minimum, median, and maximum estimate gross reservoir thickness and hydrocarbon column height. [The spreadsheet is protected so you can only values in the cells designed for data input 4) Advance to the area / depth cells and input the measured pairs for the prospective map contours (dete in step 1c). 5) As your area/depth data pairs are entered, all values are calculated and the Area vs. Depth Plot is d automatically. You still have to sort the Gross Pay and Geometry Factors, and format the depth axis. Thi done automatically by clicking on the "Sort" and "Scale Plot" buttons in the lower right area of the spreadsheet. 6) Parameter Calculation Techniques The measured Area/Depth pairs (from 1c above) define the uppermost (Dtop) curve on the Area vs. Depth Pl Slopes between successive Area / Depth input pairs are calculated as straight line segments from: Slope (Dt2-Dt1) / (Area2-Area1) The depth corresponding to "Zero" area is the "0" axis slope intercept of the line connecting the first Area/Depth pairs: Dt0 = Dt1 - (m * Area1) Depths to Min, Med, and Max HC/water contacts (DHCon) are calculated from the HC Column (HCol) values re to Dt0: DHCon= Dt0 - HCol Corresponding Area (Ax) values for intermediate Depth points (Dx) are calculated from the slope equation

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Volumetric method for oiip

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Page 1: PlaniMeter for area depth

"AREA/DEPTH" VOLUMETRICS WORKBOOKUSER NOTESPurposeThis spreadsheet was designed to eliminate much of the drudgery in determining geometry factors for volumetrics estimation. Specifically, it: 1) eliminates manual drawing and planimetering of Area vs. Depth Plots, and 2) accurately calculates reservoir volumes and geometry factors.How to Use1) As with normal volumetrics work, first determine:a) minimum, median, and maximum gross reservoir thicknesses,b) minimum, median, and maximum hydrocarbon column heights,c) cumulative planimetered areas within prospective map contours, andd) depths corresponding to those contours.2) Startup the "Area/Depth" Excel workbook which contains a "Prospect Volumetrics "spreadsheet and a macro sheet3) Enter the Prospect Name/Location, the prospective horizon, then minimum, median, and maximum estimates for gross reservoir thickness and hydrocarbon column height. [The spreadsheet is protected so you can only enter values in the cells designed for data input4) Advance to the area / depth cells and input the measured pairs for the prospective map contours (determined in step 1c).5) As your area/depth data pairs are entered, all values are calculated and the Area vs. Depth Plot is drawn automatically. You still have to sort the Gross Pay and Geometry Factors, and format the depth axis. This is done automatically by clicking on the "Sort" and "Scale Plot" buttons in the lower right area of the spreadsheet.6) Parameter Calculation TechniquesThe measured Area/Depth pairs (from 1c above) define the uppermost (Dtop) curve on the Area vs. Depth Plot.Slopes between successive Area / Depth input pairs are calculated as straight line segments from: Slope = m = (Dt2-Dt1) / (Area2-Area1)The depth corresponding to "Zero" area is the "0" axis slope intercept of the line connecting the first two Area/Depth pairs: Dt0 = Dt1 - (m * Area1)

Depths to Min, Med, and Max HC/water contacts (DHCon) are calculated from the HC Column (HCol) values relative to Dt0: DHCon= Dt0 - HColCorresponding Area (Ax) values for intermediate Depth points (Dx) are calculated from the slope equation: Ax = m * (Dx-1-Dx) / Ax-1The Volume under successive segments of the Area / Depth curves for the reservoir top and each bed thickness are calculated as the area of a parallelogram: Volumei = (Depthi-Depthi-1) * (Areai + Areai-1) / 2Reservoir volumes are obtained by summing the successive parallelogram volumes under the reservoir top, and under each limiting bed thickness, down to the respective HCol cutoffs, and then taking the difference of those total volumes: ResVol(minbed/mincol) = Vtop - Vminbed ...etc.Bulk Volumes are determined as the product of each limiting bed thickness and the map area for each limiting HCol:BlkVol(minbed/mincol) = Thkminbed * Areamincol ...etc.Finally, the Geometry Factor for each bed-HCol combination is the quotient of the respective Reservoir Volume and Bulk Volume:Geometry Factor = Reservoir Volume / Bulk Volume

Lloyd E. DeKay Chevron Nigeria Ltd. 12 June 1993

Page 2: PlaniMeter for area depth

document.xls

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Prospect: Example ProspectHorizon: Formation Tk/Col GrossPay ResVol

P01 P10 P50 P90 P99 mn/mn 310 604265Resvr.Thickness (ft) 411 445 490 540 584 mn/md 411 2225940HC Column (ft) 310 403 555 765 993 mn/mx 411 8358512H/WC (depth) 13640 13733 13885 14095 14323 <--OK md/mn 310 604265Pay Area (acres) 4118 6032 11534 17851 31332 md/md 490 2329134Area Distribution 13% 19% 37% 57% 100% md/mx 490 9223816

mx/mn 310 604265For Assistance Contact: mx/md 555 2355540

Spreadsheet Concept: L.E.DeKay mx/mx 584 9925160

NOTE: Input values in yellow cells, then click "Sort" macro, then click "SCALE PLOT". Read off blue font results to place on 3-point volumetrics sheets.Input 'Area / Depth' pairs from structure map.

Area Dt Dmn Dmd Dmx IntVol TotVol Sorted Gross Pay0 13330 13741 13820 13914 0 0 <--OK

1500 13450 13861 13940 14034 90000 90000 <--OK3500 13610 14021 14100 14194 400000 4900007000 13780 14191 14270 14364 892500 1382500

11750 13890 14301 14380 14474 1031250 2413750 Minimum > 31018000 14100 14511 14590 14684 3123750 5537500 31031750 14330 14741 14820 14914 5721250 11258750 310

411Median > 411

490490555

Maximum > 584

F6
dbwa: Note: This depth must not exceed the lowest of the area/depth pairs shown below.
A33
dbwa: Note: Recommend 'pinning' culmination at desired depth by pairing with a very small area.
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document.xls

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Maximum Depth 14330Plot Minimum 13300Plot Maximum 15000

Prospect: Example ProspectHorizon: Formation

0 5000 10000 15000 20000 25000 30000 35000

13300

13500

13700

13900

14100

14300

14500

14700

14900

14323

14095

13885

13733

13640

Area vs. Depth Plot

Area (acres)

Depth

(fe

et)

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document.xls

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BulkVol12764714740511

1287725512764715651705

1535244612764716401420

18297609

Sorted Gross Pay

0.3680.4120.4700.4730.4730.4730.5420.6010.649

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document.xls

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0 5000 10000 15000 20000 25000 30000 35000

13300

13500

13700

13900

14100

14300

14500

14700

14900

14323

14095

13885

13733

13640

Area vs. Depth Plot

Area (acres)

Depth

(fe

et)