# US 10,371,858 B2 · Method of subsurface modelling

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- Number: US 10,371,858 B2
- Document ID: US10371858B2
- Status: Granted
- Kind: B2
- Application number: 15/039,130
- Filed: 2014-11-20
- Published: 2017-01-26
- Granted: 2019-08-06
- Earliest claimed: 2013-11-26
- Assignees: Total SA
- Applicants: Total S.A.
- Inventors: Pierre Bergey
- Web page: https://patentgrep.com/patent/US10371858B2

## CPC

- G01V 20/00: Geomodelling in general
- G06F 17/11: for solving equations {, e.g. nonlinear equations, general mathematical optimization problems (optimization specially adapted for a specific administrative, business or logistic context G06Q10/04)}
- G01V: GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS (means for indicating the location of accidentally buried, e.g. snow-buried, persons A63B29/02)
- G06F: ELECTRIC DIGITAL DATA PROCESSING (computer systems based on specific computational models G06N)

## Abstract

Disclosed is a method of modelling a subsurface volume. History data for one or more parameters over a first period of time is obtained. The first period of time comprises a plurality of schedule periods, each schedule period having associated with it a sampled value of the considered parameter at the corresponding time. A merge error value is attributed to plural pairs of consecutive schedule periods, the merge error value representing a magnitude of the error in a merged value of each parameter over the duration corresponding to a pair of schedule periods being considered, relative to the sampled values for said pair of schedule periods being considered. The pair of schedule periods which have the smallest error value attributed thereto is merged, and the merged schedule period has attributed to it, the corresponding merged value of the corresponding parameter. The error value calculation and merger steps are repeated so as to reduce the total number of schedule periods.

## Claims

### Claim 1

A method of extracting hydrocarbons from a subsurface reservoir, the method comprising:
obtaining history data of at least a first parameter over a first period of time, said first parameter relating to a fluid rate within the subsurface hydrocarbon reservoir, said first period of time comprising a plurality of schedule periods, each schedule period having an associated sampled value of the first parameter at a corresponding time;
attributing a merge error value to plural pairs of consecutive schedule periods, said merge error value representing a magnitude of the error in a merged value of said first parameter over a duration corresponding to a pair of schedule periods being considered, relative to the sampled values for said pair of schedule periods being considered;
merging the pair of schedule periods which have the smallest error value attributed thereto, and attributing to this merged schedule period a corresponding merged value of said first parameter;
repeating steps 2) and 3) thereby to generate a new schedule with a reduced number of schedule periods, thereby reducing simulation computation time;
modelling the subsurface hydrocarbon reservoir to obtain model data relating to the first period of time;
using the history data described in terms of the reduced number of schedule periods in a history matching process which matches the modelled data with the history data, so as to predict fluid flow properties relating to the first parameter within the subsurface hydrocarbon reservoir; and
using the predicted fluid flow properties to extract hydrocarbons from the subsurface hydrocarbon reservoir.

### Claim 2 (depends on 1)

The method as claimed in claim 1, wherein said merged value of said first parameter comprises an average value of said first parameter over the duration corresponding to the pair of schedule periods being considered.

### Claim 3 (depends on 1)

The method as claimed in claim 1, wherein during a first iteration of steps 2) and 3), step 2) comprises:
calculating a merge error value for each of said plural pairs of consecutive schedule periods; and
subsequent to the first iteration of steps 2) and 3), step 2) comprises:
only calculating a merge error value for the pairs of consecutive schedule periods comprising the schedule period formed by a merger performed in a previous iteration; and
attributing previously calculated merge error values to the remaining pairs of said plural pairs of consecutive schedule periods.

### Claim 4 (depends on 1)

The method as claimed in claim 1, wherein said steps 2) and 3) of said method are repeated until the total number of schedule periods is reduced to a predetermined number, or by a predetermined factor.

### Claim 5 (depends on 4)

The method as claimed in claim 4, wherein said predetermined number is between 10 and 100.

### Claim 6 (depends on 4)

The method as claimed in claim 4, wherein said predetermined number is in a region of 30.

### Claim 7 (depends on 1)

The method as claimed in claim 1 comprising the step of normalising said sampled values of at least said first parameter to estimated reservoir or bottom hole conditions.

### Claim 8 (depends on 7)

The method as claimed in claim 7, wherein said normalisation is performed on said sampled values of parameters of a similar nature.

### Claim 9 (depends on 8)

The method as claimed in claim 8, wherein said normalisation comprises a summation of said parameters estimated to reservoir or bottom hole conditions.

### Claim 10 (depends on 7)

The method as claimed in claim 7, wherein said at least a first parameter comprises two or more of water rate, gas rate and oil rate at surface conditions, and said normalisation results in a single multiphase rate at estimated reservoir or bottom hole conditions.

### Claim 11 (depends on 1)

The method as claimed in claim 1 comprising the step of normalising said sampled values of said at least said first parameter, wherein said at least said first parameter comprises parameters of differing natures.

### Claim 12 (depends on 11)

The method as claimed in claim 11, wherein rates are used as reference when normalising said sampled values of parameters of differing natures.

### Claim 13 (depends on 12)

The method as claimed in claim 12, wherein said normalising said sampled values of parameters of differing natures is performed by way of a transform using a weighting constant reflecting importance given to a considered parameter's variations compared to a reference rates' variations.

### Claim 14 (depends on 7)

The method as claimed in claim 7, wherein step 2) is performed on normalised values and step 3) is performed on the original unnormalised sampled values.

### Claim 15 (depends on 1)

The method as claimed in claim 1, wherein said plural pairs of consecutive schedule periods comprise every pair of consecutive schedule periods for which merger is allowed.

### Claim 16 (depends on 1)

The method as claimed in claim 1, wherein said subsurface hydrocarbon reservoir is a reservoir comprising a plurality of wells and a merge error value is evaluated for each of plural pairs of consecutive schedule periods at every well, and summed up for each potential merge across all wells.

### Claim 17 (depends on 1)

The method as claimed in claim 1 further comprising the step of using results of said method to aid hydrocarbon recovery from a reservoir.

### Claim 18 (depends on 1)

A computer program comprising computer readable instructions which, when run on suitable computer apparatus, cause the computer apparatus to perform the method of claim 1.

### Claim 19 (depends on 18)

A computer program carrier comprising the computer program of claim 18.

### Claim 20 (depends on 1)

A computer apparatus specifically adapted to carry out the steps of the method as claimed in claim 1.
