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Isatis Multiple-point Statistics (MPS) - Geovariances

Isatis Multiple-point Statistics (MPS) - Geovariances

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<strong>Multiple</strong>-<strong>point</strong> <strong>Statistics</strong> (<strong>MPS</strong>)<br />

Get realistic images of the internal structure of your reservoir<br />

<strong>Isatis</strong> offers a powerful implementation of the<br />

<strong>Multiple</strong>-<strong>point</strong> <strong>Statistics</strong> (<strong>MPS</strong>) algorithm which<br />

integrates the optimized Impala 1 v2.0 library by<br />

Ephesia Consult.<br />

<strong>Multiple</strong>-<strong>point</strong> <strong>Statistics</strong> is a facies modeling technique<br />

based on multiple-<strong>point</strong> statistics instead of the<br />

conventional variogram-based techniques founded on<br />

bi-<strong>point</strong> statistics. It offers another way to model<br />

complex and heterogeneous geological environments<br />

through the use of a training image which describes<br />

the geometrical characteristics of the facies to model.<br />

The method allows capturing geological elements like<br />

channels, reefs, bars, dikes or differently oriented<br />

facies, while honouring data information.<br />

<strong>Isatis</strong>, with Impala, powers <strong>MPS</strong> technique<br />

implementation as it allows generating complex yet<br />

realistic geological patterns in an easy and efficient<br />

way.<br />

Training image<br />

depicting a channel<br />

<strong>MPS</strong> simulation in <strong>Isatis</strong> using<br />

the previous training image<br />

1 Acronym for Improved <strong>Multiple</strong>-<strong>point</strong> Parallel Algorithm using a List Approach.


Impala algorithm has been optimized in many ways:<br />

It offers a new and efficient strategy for recording<br />

matching configuration. Multi-<strong>point</strong> statistics are stored<br />

in hybrid tree-list structures rather than search trees,<br />

thus resulting in a substantial reduction in memory<br />

requirements and in a higher calculation speed.<br />

Being fully parallelized, it benefits from multiprocessors,<br />

which also drastically improves the<br />

calculation performances.<br />

It uses a multi-grid approach to capture structures<br />

within the training image that are defined at different<br />

scales, which avoids considering a huge pattern.<br />

Unlike classical <strong>MPS</strong> algorithms which tend to<br />

reproduce the global proportions of the training image,<br />

<strong>Isatis</strong> Impala-based <strong>MPS</strong> uses soft local proportions to<br />

simulate non stationary environment.<br />

It may take into account external continuous<br />

conditioning data which can be diagraphy, seismic or<br />

well information, but also a gradient (i.e. distance to<br />

the coast, distance to specific topographic object, etc.).<br />

This allows refining and enhancing the realistic aspect<br />

of the simulations and enables the simulation of non<br />

stationary deposit environment.<br />

Besides, <strong>Isatis</strong> provides functionalities to create 2D<br />

training images from imported images and considers<br />

object-based or plurigaussian non conditional simulations<br />

as potential 3D training images.<br />

<strong>Isatis</strong> <strong>MPS</strong> Key Points<br />

High performances<br />

Parallel algorithm (CPU performances)<br />

Based on lists (RAM performances) and<br />

trees (speed performances)<br />

Unique features<br />

Multi-grid approach for capturing efficiently<br />

large scale features<br />

Conditioning to hard data (seismic, facies<br />

proportions)<br />

Non–stationarity handled with continuous<br />

auxiliary variables or local proportions<br />

Advantages<br />

Intuitive use of training images (seismic,<br />

geological model, analogs, boolean<br />

simulations)<br />

Full control of parameters<br />

Proper modeling of non stationarity and local<br />

proportions<br />

More flexibility on search template size and<br />

number of facies<br />

Improved efficiency<br />

This Impala-based <strong>MPS</strong> algorithm complements <strong>Isatis</strong><br />

Plurigaussian Simulations (PGS) already used to<br />

model complex geology geometries. It enriches the<br />

exclusive range of facies modeling techniques <strong>Isatis</strong><br />

already offers (including object based simulations like<br />

Boolean, Dead Leaves or Dilution techniques, variogrambased<br />

simulations like SIS, TGS, PGS or training imagebased<br />

simulations like the Annealing Simulations).<br />

Simulation of dykes<br />

with <strong>Isatis</strong> new <strong>MPS</strong><br />

GEOVARIANCES offices<br />

France - Avon-Fontainebleau - +33 (0)1 6074 9090<br />

Australia - Wynnum-Brisbane, QLD - +61 (0)7 3348 5333<br />

info@geovariances.com - www.geovariances.com

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