Interwell sedimentary sequence research method based on Markov chain mathematic model

A Markov chain, mathematical model technology, applied in earthwork drilling, wellbore/well components, etc., can solve the problem of not establishing a sedimentary sequence model, etc.

Inactive Publication Date: 2016-05-11
CHINA PETROLEUM & CHEM CORP +1
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Problems solved by technology

For complex stratigraphic sections with certain sedimentary rules, the vertical facies model of structural analysis is a random process, which conforms to the mathematical model of "Markov chain". For example, Wu Anbin et al. (1995) applied the Markov chain method to the West In the analysis of the Devonian sedimentary facies in the or...

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  • Interwell sedimentary sequence research method based on Markov chain mathematic model
  • Interwell sedimentary sequence research method based on Markov chain mathematic model
  • Interwell sedimentary sequence research method based on Markov chain mathematic model

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[0025] In order to make the above and other objects, features and advantages of the present invention more comprehensible, preferred embodiments are listed below and described in detail in conjunction with the accompanying drawings.

[0026] Such as figure 1 as shown, figure 1 It is a flow chart of the method for studying the interwell deposition sequence based on the Markov chain mathematical model of the present invention.

[0027] Step 101: First, use the core, logging, and logging data to count the types of lithofacies that appear, define lithofacies, and the number of lithofacies is n, count the frequency of each lithofacies upward transformation into another lithofacies, and establish n× The transition frequency matrix N of n. See Table 1, which is the lithofacies type of the Lower Sha4 Member in a certain sag, and then go to step 102

[0028] Table 1 Lithofacies definition table

[0029]

[0030] Step 102: Count the frequency of upward transfer of each lithofacie...

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Abstract

The invention provides an interwell sedimentary sequence research method based on a Markov chain mathematic model. The method comprises: counting frequency number on each kind of lithofacies transferring to another kind of lithofacies, establishing an upward transfer frequency matrix N; transferring the upward transfer frequency matrix N to a random sequence transition probability matrix S, and transferring the upward transfer frequency matrix N to an upward transition probability matrix P; according to the random sequence transition probability matrix S and the upward transition probability matrix P, obtaining a single well state difference value matrix K; simplifying the upward transition probability matrix P, to obtained a simplified upward transition probability matrix P'; and establishing a sedimentary sequence mode through the simplified upward transition probability matrix P'. For a stratigraphic section which is complex in lithological changes but has certain deposition law, the interwell sedimentary sequence research method based on a Markov chain mathematic model can predict change rules of lithological characters on a vertical direction of adjacent domains of the well according to lithological changes of a drilled well.

Description

technical field [0001] The invention relates to the technical field of oilfield development, in particular to a method for studying interwell deposition sequences based on a Markov chain mathematical model. Background technique [0002] Markov chain is a Markov process that occurs in discrete time intervals and discrete state spaces. Its original model was proposed by A.A. Markov in 1907. This method is commonly used to model modeling in queuing theory and statistics, and can also be used as a signal model for entropy coding techniques, such as algorithmic coding. The most recent application of Markov chains is in geostatistics for stochastic simulations of two- to three-dimensional discrete variables based on observational data. [0003] In recent years, scholars at home and abroad are also exploring the use of Markov chain mathematics to analyze sedimentary facies. According to geological theory, the sedimentary lithology at a certain moment is only related to the lithol...

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Application Information

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IPC IPC(8): E21B49/00
Inventor 李文涛杨显成高阳李孝军焦婷婷陈旭辉耿春雁隋青林宋海燕曲长胜王巍郭琴段海凤李凤娟郭瑾于岚刘晓丽
Owner CHINA PETROLEUM & CHEM CORP
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