WO2022198363A1 - Method and device for predicting elastic parameters of shale reservoir, and storage medium - Google Patents

Method and device for predicting elastic parameters of shale reservoir, and storage medium Download PDF

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WO2022198363A1
WO2022198363A1 PCT/CN2021/082006 CN2021082006W WO2022198363A1 WO 2022198363 A1 WO2022198363 A1 WO 2022198363A1 CN 2021082006 W CN2021082006 W CN 2021082006W WO 2022198363 A1 WO2022198363 A1 WO 2022198363A1
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modulus
shale
adsorbed gas
clay
effective
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PCT/CN2021/082006
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French (fr)
Chinese (zh)
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印兴耀
印林杰
宗兆云
吴国忱
张广智
曹丹平
张繁昌
梁锴
张佳佳
李坤
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中国石油大学(华东)
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Priority to PCT/CN2021/082006 priority Critical patent/WO2022198363A1/en
Publication of WO2022198363A1 publication Critical patent/WO2022198363A1/en

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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V1/00Seismology; Seismic or acoustic prospecting or detecting
    • G01V1/28Processing seismic data, e.g. for interpretation or for event detection
    • G01V1/30Analysis
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V1/00Seismology; Seismic or acoustic prospecting or detecting
    • G01V1/40Seismology; Seismic or acoustic prospecting or detecting specially adapted for well-logging
    • G01V1/44Seismology; Seismic or acoustic prospecting or detecting specially adapted for well-logging using generators and receivers in the same well
    • G01V1/48Processing data
    • G01V1/50Analysing data

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  • the present application relates to the field of oil and gas exploration, and in particular, to a method, device and storage medium for predicting elastic parameters of shale reservoirs.
  • rock elastic parameters (elastic modulus, velocity) is an important step in seismic exploration.
  • the relevant seismic convolution model or wave equation is a function of rock compressional wave velocity, shear wave velocity and density.
  • the current seismic exploration technology cannot directly obtain the elastic parameters of the underground medium. In order to better simulate the actual situation or obtain the physical properties of the underground reservoir, it is necessary to obtain accurate rock elastic parameters by means of petrophysical methods.
  • Petrophysical modeling typically divides rocks into three parts: background minerals, pores, and pore fluids. Accordingly, the petrophysical modeling process can also be divided into three parts: 1) Calculate the elastic modulus of the background matrix; 2) Calculate the elastic modulus of the dry rock (matrix rock with dry pores); 3) Calculate the elastic modulus of the fluid-bearing rock quantity.
  • the complex characteristics of shale make it difficult to model petrophysically.
  • the pore types of shale reservoirs are various, and the shale elastic parameters calculated by the models in the related technologies will have certain errors.
  • the present application provides a method, a device and a storage medium for predicting elastic parameters of a shale reservoir.
  • the present application provides a method for predicting elastic parameters of a shale reservoir, comprising: acquiring logging data of shale, wherein the logging data includes elastic modulus of minerals, quartz content, clay content, Adsorbed gas fraction, density, and porosity; use the SCA model to determine the effective elastic modulus of the background matrix based on the quartz content and clay content of the minerals; use the inclusion model to add free gas to hard pores to determine the effective elastic modulus of the background matrix
  • the effective elastic modulus of the background matrix containing hard pores is determined according to the porosity of shale and the bulk modulus of free gas; the micro-nano surface elastic modulus is used with the proportion of adsorbed gas and the elastic modulus of adsorbed gas as the surface elastic parameters.
  • the pore model determines the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas according to the porosity of the shale, the proportion of adsorbed gas and the elastic modulus of the nanoporous organic matter.
  • the effect is positively related to the proportion of adsorbed gas; using the Gassmann equation, the porosity of saturated nanoporous organic matter considering adsorbed gas and free gas is determined based on porosity, bulk modulus of free gas, and effective elastic modulus of nanoporous organic matter considering adsorbed gas and free gas.
  • Effective elastic modulus using the anisotropic inclusion model, adding saturated nanoporous organic matter to the hard pore-bearing background matrix to obtain the equivalent elastic matrix of the shale; and determining the shale based on the equivalent elastic matrix and density of the shale The equivalent longitudinal wave velocity and the equivalent shear wave velocity.
  • the effective elastic modulus of the nanoporous organic matter considering adsorbed gas is determined as follows:
  • K1 and ⁇ 1 represent the bulk modulus and shear modulus of the nanoporous organic matter, respectively
  • K2 and ⁇ 2 represent the bulk modulus and shear modulus of the adsorbed gas, respectively
  • ⁇ K represents the volume of the nanoporous organic matter The difference between the modulus and the bulk modulus of the adsorbed gas
  • K eff represents the effective bulk modulus of the nanoporous organic matter considering the adsorbed gas
  • represents the proportion of the adsorbed gas.
  • the effective elastic modulus of the background matrix is determined as follows:
  • P *Qua and Q *Qua are the geometric factors of quartz
  • P *Clay and Q *Clay are the geometric factors of clay
  • Qua and Clay represent the quartz content and Clay content
  • K Qua is the bulk modulus of quartz
  • ⁇ Qua is the shear modulus of quartz
  • K Clay is the bulk modulus of clay
  • ⁇ Clay is the shear modulus of clay.
  • the inclusion model for determining the effective elastic modulus of the hard pore-containing background matrix includes: the SCA model, the KT model, or the DEM model.
  • the present application provides an apparatus for predicting elastic parameters of a shale reservoir, comprising: an acquisition module configured to acquire logging data of shale, wherein the logging data includes elastic modulus of minerals, Quartz content, clay content, proportion of adsorbed gas, density and porosity; a first determination module, configured to use the SCA model, to determine the effective elastic modulus of the background matrix based on the quartz content and clay content of the minerals; a second determination module, Configured to perform free gas addition to hard pores using an inclusion model, with the effective elastic modulus of the background matrix as an initial value, the effective elastic modulus of the background matrix containing hard pores is determined from the porosity of the shale and the bulk modulus of free gas
  • the third determination module is configured to use the micro-nano pore model with the proportion of adsorbed gas and the elastic modulus of the adsorbed gas as the surface elastic parameters, according to the porosity of the shale, the proportion of adsorbed gas and the elasticity of the nanopor
  • the third determination module is configured to determine the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas in the following manner:
  • K1 and ⁇ 1 represent the bulk modulus and shear modulus of the nanoporous organic matter, respectively
  • K2 and ⁇ 2 represent the bulk modulus and shear modulus of the adsorbed gas, respectively
  • ⁇ K represents the volume of the nanoporous organic matter The difference between the modulus and the bulk modulus of the adsorbed gas
  • K eff represents the effective bulk modulus of the nanoporous organic matter considering the adsorbed gas
  • represents the proportion of the adsorbed gas.
  • the first determination module is configured to determine the effective elastic modulus of the background matrix in the following manner:
  • P *Qua and Q *Qua are the geometric factors of quartz
  • P *Clay and Q *Clay are the geometric factors of clay
  • Qua and Clay represent the quartz content and Clay content
  • K Qua is the bulk modulus of quartz
  • ⁇ Qua is the shear modulus of quartz
  • K Clay is the bulk modulus of clay
  • ⁇ Clay is the shear modulus of clay.
  • the inclusion model for determining the effective elastic modulus of the hard pore-containing background matrix includes: the SCA model, the KT model, or the DEM model.
  • the present application provides a computer device comprising: a memory, a processor, and a computer program stored in the memory and executable on the processor; when the computer program is executed by the processor, predicting shale storage is realized.
  • the steps of the method for layer elasticity parameters are described in detail below.
  • the present application provides a computer-readable storage medium, where a program for predicting elastic parameters of a shale reservoir is stored, and the program for predicting elastic parameters of a shale reservoir is executed by a processor to achieve prediction Steps of a method for elastic parameters of a shale reservoir.
  • the above technical solutions provided in the embodiments of the present application have the following advantages: the method provided in the embodiments of the present application combines the adsorption of micro-nano pores with organic matter to realize the overall rock elastic parameters of the shale reservoir. reasonable forecast.
  • Fig. 1 is the schematic diagram of adsorption phenomenon caused by surface effect
  • Figure 2 shows the relationship between the effective bulk modulus and the proportion of adsorbed gas under different porosity
  • FIG. 3 is a flowchart of an embodiment of a method for predicting elastic parameters of a shale reservoir provided in an embodiment of the present application
  • FIG. 4 is a flowchart of a preferred embodiment of the method for predicting elastic parameters of a shale reservoir provided in the embodiment of the present application;
  • Fig. 5 shows the variation of p-wave velocity with the proportion of adsorbed gas and the corresponding logging data under different porosity
  • Fig. 6 shows the variation of p-wave velocity with the proportion of adsorbed gas and the corresponding logging data under different TOCs
  • FIG. 7 is a structural block diagram of an embodiment of the apparatus for predicting elastic parameters of shale reservoirs provided by the embodiment of the present application.
  • FIG. 8 is a schematic hardware diagram of an implementation manner of a computer device provided in an embodiment of the present application.
  • the present application provides a method to avoid the above problems and defects, and provides a method to consider the adsorption effect of micro-nano pores, so as to realize the prediction of elastic parameters of shale reservoirs.
  • the adsorption of micro-nano pores is combined with organic matter, so as to realize a reasonable prediction of the overall rock elastic parameters of the shale reservoir.
  • the effective elastic modulus of the medium is obtained by introducing the surface elastic parameter, as shown in formula (1).
  • pores developed in organic matter are usually nano-scale.
  • adsorption occurs on the pore surface, adsorbing gas molecules of a certain thickness until the energy balance on both sides of the pore surface.
  • the adsorption thickness is determined by the surface elastic modulus, as shown in the following formula (3).
  • ⁇ 2 , ⁇ 2 are the Lame constants of the adsorbed gas
  • h 2 is the thickness of the adsorbed gas
  • K s is the surface bulk modulus
  • ⁇ s and ⁇ s are the surface Lame parameters. It is worth noting that the shear modulus of the gas is zero under normal conditions, while the adsorbed gas molecules are directional and exhibit solid-like properties. It can be considered that this part of the gas has a certain shear modulus.
  • the gases in the pores are divided into two categories: one is adsorbed on the surface of the pores, and the other is freely distributed in the remaining pore space, which are called adsorbed gas and free gas respectively. gas), as shown in Figure 1.
  • h 1 is the thickness of the surface atoms different from the bulk elasticity
  • h 2 is the thickness of the adsorbed gas
  • R represents the pore size. Then the volume ratio of free gas to total gas is expressed as formula (4).
  • V free and V total are the free gas volume and total gas volume in a single pore, respectively, ⁇ is the proportion of adsorbed gas, R represents the pore size, and h 2 is the thickness of adsorbed gas.
  • is the proportion of adsorbed gas
  • R represents the pore size
  • K 2 and ⁇ 2 are the bulk modulus and shear modulus of the inclusions
  • k is defined as shown in formula (5).
  • K 1 and ⁇ 1 are the bulk modulus and shear modulus of the nanoporous organic matter
  • K 2 and ⁇ 2 are the bulk modulus and shear modulus of the inclusions (adsorbed gas in the embodiment of the present application)
  • ⁇ K is the difference between the bulk modulus of the nanoporous organic matter and the bulk modulus of the inclusions
  • k and Q are defined as formula (6)
  • K eff is the effective bulk modulus of the nanoporous organic matter containing adsorbed gas
  • is The proportion of adsorbed gas.
  • the surface effect of micro-nanopores is characterized by the proportion of adsorbed gas ( ⁇ -dependent) rather than surface elastic modulus and pore size (size-dependent). That is, the adsorbed gas ratio affects the overall elastic properties of nanoporous shale.
  • An embodiment of the present application provides a method for predicting elastic parameters of a shale reservoir. As shown in FIG. 3 , the method includes steps S302 to S314.
  • the surface adsorption of nano-scale pores is mainly considered.
  • the shale matrix is mainly composed of quartz and clay, and the pores are mainly developed in the matrix, and the pore size is much larger than the nano-scale intergranular pores (hard pores) and nano-scale organic pores. Hard pores are only filled with free gas, while nanopores are filled with both free gas and adsorbed gas due to surface effects.
  • Step S302 acquiring logging data of shale.
  • the logging data includes elastic modulus of minerals, quartz content, clay content, proportion of adsorbed gas, density and porosity.
  • step S304 the SCA model is used to determine the effective elastic modulus of the background matrix according to the quartz content and the clay content of the minerals.
  • Step S306 use the inclusion model to add free gas to the hard pores, take the effective elastic modulus of the background matrix as the initial value, and determine the effective elastic modulus of the background matrix containing hard pores according to the porosity of the shale and the bulk modulus of free gas. quantity.
  • Step S308 using the micro-nano pore model with the proportion of adsorbed gas and the elastic modulus of the adsorbed gas as the surface elastic parameters, and according to the porosity of the shale, the proportion of adsorbed gas and the elastic modulus of the nano-porous organic matter, it is determined to consider the adsorbed gas.
  • the effective elastic modulus of nanoporous organic matter is determined to consider the adsorbed gas.
  • micro-nano pore model the surface effect of micro-nano pores is positively correlated with the proportion of adsorbed gas.
  • Step S310 using the Gassmann equation, according to the porosity, the bulk modulus of the free gas, and the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas, to determine the effective elastic modulus of the saturated nanoporous organic matter considering the adsorbed gas and the free gas.
  • Step S312 using the anisotropic inclusion model, adding saturated nanoporous organic matter into the background matrix containing hard pores to obtain an equivalent elastic matrix of shale.
  • step S314 the equivalent longitudinal wave velocity and the equivalent shear wave velocity of the shale are determined according to the equivalent elastic matrix and the density of the shale.
  • the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas is determined according to formula (6), wherein, represents the porosity, K1 and ⁇ 1 represent the bulk modulus and shear modulus of the nanoporous organic matter, respectively, K2 and ⁇ 2 represent the bulk modulus and shear modulus of the adsorbed gas, respectively, ⁇ K represents the volume of the nanoporous organic matter The difference between the modulus and the bulk modulus of the adsorbed gas, K eff represents the effective bulk modulus of the nanoporous organic matter considering the adsorbed gas, and ⁇ represents the proportion of the adsorbed gas.
  • the inclusion model for determining the effective elastic modulus of the hard pore-containing background matrix includes: the SCA model, the KT model, or the DEM model.
  • step S402 it mainly includes determining the effective elastic modulus of the background matrix (step S402 ), determining the effective elastic modulus of the background matrix containing hard pores (step S404 ), and determining the effective elastic modulus of the nanoporous organic matter (step S406 ). and saturated shale equivalent velocity estimation (step S408).
  • Step S402 determining the effective elastic modulus of the background matrix.
  • the elastic modulus of the background matrix was solved using the SCA model, where the aspect ratios were 1.0 and 0.5, respectively.
  • the SCA model is shown in formula (7).
  • P *Qua and Q *Qua are the geometric factors of quartz
  • P *Clay and Q *Clay are the geometric factors of clay
  • Qua and Clay represent the quartz content and Clay content
  • K Qua is the bulk modulus of quartz
  • ⁇ Qua is the shear modulus of quartz
  • K Clay is the bulk modulus of clay
  • ⁇ Clay is the shear modulus of clay.
  • Step S404 determining the effective elastic modulus of the hard pore-containing background matrix.
  • ⁇ p is the hard porosity
  • K f is the bulk modulus of free gas
  • the calculation result and are the effective shear modulus and effective bulk modulus of the background matrix with hard pores, respectively, Iterative initial value for the effective bulk modulus of the matrix with hard pore background, P * ( ⁇ p ) geometric factor for pore shape.
  • Step S406 determining the effective elastic modulus of the nanoporous organic matter.
  • the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas is first obtained by formula (6). It is worth noting that the modulus calculated by Equation (6) only considers the effect of adsorbed gas, and free gas should be added to the remaining pore space using the fluid replacement theory.
  • the elastic modulus applies the Gassmann equation to output the effective elastic modulus of the saturated (including adsorbed and free) nanoporous organic matter.
  • anisotropic SCA model (also DEM model) is used to add nanoporous organic matter into the background matrix containing hard pores, and the equivalent elastic matrix C SCA of shale is obtained.
  • the anisotropic SCA model is shown in formula (9).
  • v n is the volume fraction of each component
  • C is the elastic matrix of each component
  • Step S408 estimating the equivalent velocity of saturated shale.
  • the equivalent elastic matrix of saturated shale is obtained through the above steps, and the equivalent longitudinal wave velocity and equivalent shear wave velocity are derived according to formula (10).
  • step S406 where c 33 and c 55 are obtained in step S406, and ⁇ is the density.
  • Fig. 5 shows the variation trend of p-wave velocity with the proportion of adsorbed gas under different porosity and the corresponding logging data.
  • Fig. 6 shows the variation trend of p-wave velocity with the proportion of adsorbed gas under different TOC and corresponding logging data.
  • TOC changes, the change trend of p-wave velocity with ⁇ is similar to that in Fig. 5.
  • the apparatus includes: an acquisition module 702 configured to acquire logging data of shale, wherein the logging data includes: The elastic modulus, quartz content, clay content, proportion of adsorbed gas, density and porosity of the mineral; the first determination module 704, connected to the acquisition module 702, is configured to use the SCA model to determine the mineral's quartz content and clay content The effective elastic modulus of the background matrix; the second determination module 706, connected to the first determination module 704, is configured to use the inclusion model to perform free gas addition to the hard pores, with the effective elastic modulus of the background matrix as the initial value, according to The porosity of the shale and the bulk modulus of the free gas determine the effective elastic modulus of the hard pore-containing background matrix; a third determination module 708, connected to the acquisition module 702, is configured to use the percentage of adsorbed gas and the elasticity of adsorbed gas The micro-nano pore
  • the surface effect of the micro-nano pores in the micro-nano pore model is positively correlated with the proportion of adsorbed gas;
  • the fourth determination module 710 connected to the third determination module 708, is configured to use the Gassmann equation, according to the porosity, the bulk modulus of the free gas amount and the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas, determine the effective elastic modulus of the saturated nanoporous organic matter considering the adsorbed gas and the free gas;
  • the fifth determination module 712, the second determination module 706 and the fourth determination module 710 connected and configured to add saturated nanoporous organic matter to the hard pore containing background matrix using an anisotropic inclusion model to obtain an equivalent elastic matrix of shale;
  • a sixth determination module 714 which is connected with a fifth determination module 712 is connected and configured to determine the equivalent compressional wave velocity and the equivalent shear wave velocity of the shale according to the equivalent elastic matrix and density of the shale.
  • the computer device 20 in this embodiment at least includes but is not limited to: a memory 21 and a processor 22 that can be communicatively connected to each other through a system bus, as shown in FIG. 8 .
  • FIG. 8 only shows the computer device 20 having components 21-22, but it should be understood that it is not required to implement all of the illustrated components, and more or less components may be implemented instead.
  • the memory 21 (ie, a readable storage medium) includes a flash memory, a hard disk, a multimedia card, a card-type memory (eg, SD or DX memory, etc.), random access memory (RAM), static random access memory (SRAM), Read Only Memory (ROM), Electrically Erasable Programmable Read Only Memory (EEPROM), Programmable Read Only Memory (PROM), Magnetic Memory, Magnetic Disk, Optical Disk, etc.
  • the memory 21 may be an internal storage unit of the computer device 20 , such as a hard disk or a memory of the computer device 20 .
  • the memory 21 may also be an external storage device of the computer device 20, such as a plug-in hard disk, a smart memory card (Smart Media Card, SMC), a secure digital (Secure Digital, SD) card, flash memory card (Flash Card), etc.
  • the memory 21 may also include both the internal storage unit of the computer device 20 and its external storage device.
  • the memory 21 is generally used to store the operating system installed in the computer device 20 and various application software, such as program codes of a method for predicting elastic parameters of a shale reservoir, and the like.
  • the memory 21 can also be used to temporarily store various types of data that have been output or will be output.
  • the processor 22 may be a central processing unit (Central Processing Unit, CPU), a controller, a microcontroller, a microprocessor, or other data processing chips.
  • the processor 22 is typically used to control the overall operation of the computer device 20 .
  • the processor 22 is configured to run program codes or process data stored in the memory 21, such as program codes for predicting elastic parameters of shale reservoirs, so as to implement a method for predicting elastic parameters of shale reservoirs.
  • This embodiment also provides a computer-readable storage medium, such as a flash memory, a hard disk, a multimedia card, a card-type memory (for example, SD or DX memory, etc.), random access memory (RAM), static random access memory (SRAM), only Read-only memory (ROM), Electrically Erasable Programmable Read-Only Memory (EEPROM), Programmable Read-Only Memory (PROM), magnetic memory, magnetic disk, optical disk, server, App application mall, etc., on which computer programs are stored, When the program is executed by the processor, the corresponding function is realized.
  • the computer-readable storage medium of this embodiment is used for storing a program for predicting elastic parameters of shale reservoirs, and when executed by a processor, implements the steps of the method for predicting elastic parameters of shale reservoirs.
  • the method provided in the embodiment of the present application combines the adsorption of micro-nano pores with organic matter, and realizes the reasonable prediction of the overall rock elastic parameters of the shale reservoir, which has industrial practicability.

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Abstract

The present application provides a method and device for predicting elastic parameters of a shale reservoir, and a storage medium. The method comprises: acquiring well logging data of shale; using a SCA model to determine the effective elastic modulus of a background matrix; performing free gas addition on hard pores by using an inclusion model, so as to determine the effective elastic modulus of the background matrix containing hard pores; using a micro-nano pore model that uses an adsorption gas ratio and the elastic modulus of an adsorption gas as surface elastic parameters to determine the effective elastic modulus of a nano-porous organic substance considering the adsorption gas, the surface effect of micro-nano pores in the micro-nano pore model being positively correlated with the adsorption gas ratio; using a Gassmann equation to determine the effective elastic modulus of a saturated nanoporous organic substance; using an anisotropic inclusion model to obtain an equivalent elastic matrix of the shale; and determining, according to the equivalent elastic matrix and density of the shale, the equivalent longitudinal wave velocity and the equivalent transverse wave velocity of the shale. Thus, the reasonable prediction of elastic parameters of a shale reservoir is achieved.

Description

一种预测页岩储层弹性参数的方法、装置及存储介质A method, device and storage medium for predicting elastic parameters of shale reservoir 技术领域technical field
本申请涉及油气勘探领域,尤其涉及一种预测页岩储层弹性参数的方法、装置及存储介质。The present application relates to the field of oil and gas exploration, and in particular, to a method, device and storage medium for predicting elastic parameters of shale reservoirs.
背景技术Background technique
岩石弹性参数(弹性模量、速度)的获取是地震勘探的重要步骤。特别是在地震正反演方法中,相关的地震褶积模型或波动方程是岩石纵波速度、横波速度和密度的函数。目前的地震勘探技术不能直接获取地下介质的弹性参数。为了更好地模拟实际情况或获得地下储层的物性,需要利用岩石物理方法获得准确的岩石弹性参数。The acquisition of rock elastic parameters (elastic modulus, velocity) is an important step in seismic exploration. Especially in seismic forward and inversion methods, the relevant seismic convolution model or wave equation is a function of rock compressional wave velocity, shear wave velocity and density. The current seismic exploration technology cannot directly obtain the elastic parameters of the underground medium. In order to better simulate the actual situation or obtain the physical properties of the underground reservoir, it is necessary to obtain accurate rock elastic parameters by means of petrophysical methods.
目前,岩石物理方法获取岩石弹性参数的方法主要有两种类型,即1)基于实验室实测岩心获取,2)基于岩石物理建模方法的理论估算。后者是在合理假设的基础上将实际岩石等效为理想介质,利用物理学原理建立岩石物理参数与储层弹性参数之间的定量关系。这种方法因其便捷性,在地震勘探中经常被用于岩石弹性参数的预测。At present, there are mainly two types of methods for obtaining rock elastic parameters by petrophysical methods, namely 1) core acquisition based on laboratory measurements, and 2) theoretical estimation based on petrophysical modeling methods. The latter is based on reasonable assumptions that the actual rock is equivalent to an ideal medium, and the quantitative relationship between petrophysical parameters and reservoir elastic parameters is established by using the principles of physics. Because of its convenience, this method is often used in the prediction of rock elastic parameters in seismic exploration.
岩石物理建模通常将岩石分为三部分:背景矿物、孔隙和孔隙流体。据此,岩石物理建模过程也可分为三个部分:1)计算背景基体弹性模量;2)计算干燥岩石(含干孔隙的基质岩石)弹性模量;3)计算含流体岩石弹性模量。特别地,Xu and White,1995,‘A new velocity model for clay-sand mixtures’,Geophysical prospecting,43(1):91-118,首次提出了一种利用wyllie方程、DEM模型、KT模型和Gassmann方程建立碎屑岩储层岩石物理模型的方法,该方法已被广泛应用于碎屑岩储层等效弹性模量的定量估计。随着地震勘探的深入,勘探对象已从常规碎屑岩储层转向非常规储层,如页岩储层。这些储层中具有特殊物性的矿物和孔隙引起了学者们的关注,相应的岩石物理建模方法也得到了改进。Zhu,et al.,2012,‘Improved rock-physics model for shale gas reservoir’,SEG Annual Meeting,考虑页岩中TOC对岩石弹性特性的影响,建立了各向异性岩石物理模型。Zhao et al.,2016,‘Rock-physics modeling for the elastic properties of organic shale at different maturity stages’,Geophysics,81(5):D527-D541,考虑了页岩中TOC成熟度与内部孔隙发育的关系,构建相应的页岩岩石物理模型,分析了不同成熟度模型下TOC对页岩整体弹性特性的影响。Petrophysical modeling typically divides rocks into three parts: background minerals, pores, and pore fluids. Accordingly, the petrophysical modeling process can also be divided into three parts: 1) Calculate the elastic modulus of the background matrix; 2) Calculate the elastic modulus of the dry rock (matrix rock with dry pores); 3) Calculate the elastic modulus of the fluid-bearing rock quantity. In particular, Xu and White, 1995, 'A new velocity model for clay-sand mixtures', Geophysical prospecting, 43(1): 91-118, first proposed a new method using the wyllie equation, the DEM model, the KT model and the Gassmann equation A method for establishing petrophysical models of clastic rock reservoirs, which has been widely used in the quantitative estimation of the equivalent elastic modulus of clastic rock reservoirs. With the deepening of seismic exploration, exploration objects have shifted from conventional clastic reservoirs to unconventional reservoirs, such as shale reservoirs. The minerals and pores with special physical properties in these reservoirs have attracted the attention of scholars, and the corresponding petrophysical modeling methods have also been improved. Zhu, et al., 2012, ‘Improved rock-physics model for shale gas reservoir’, SEG Annual Meeting, established an anisotropic rock physics model considering the influence of TOC in shale on rock elastic properties. Zhao et al.,2016,'Rock-physics modeling for the elastic properties of organic shale at different maturity stages',Geophysics,81(5):D527-D541, considering the relationship between TOC maturity and internal pore development in shale , the corresponding shale petrophysical model was constructed, and the influence of TOC on the overall elastic properties of shale under different maturity models was analyzed.
页岩的复杂特征导致了对其进行岩石物理建模的难度较大。页岩储层的孔隙类型多样,相关技术中的模型计算的页岩弹性参数会产生一定误差。The complex characteristics of shale make it difficult to model petrophysically. The pore types of shale reservoirs are various, and the shale elastic parameters calculated by the models in the related technologies will have certain errors.
发明内容SUMMARY OF THE INVENTION
为了解决上述技术问题或者至少部分地解决上述技术问题,本申请提供了一种预测页岩储层弹性参数的方法、装置及存储介质。In order to solve the above technical problems or at least partially solve the above technical problems, the present application provides a method, a device and a storage medium for predicting elastic parameters of a shale reservoir.
第一方面,本申请提供了一种预测页岩储层弹性参数的方法,包括:获取页岩的测井数据,其中,所述测井数据包括矿物的弹性模量、石英含量、粘土含量、吸附气占比、密度和孔隙度;使用SCA模型,根据矿物的石英含量和粘土含量确定背景基质的有效弹性模量;使用包含物模型对硬孔隙进行游离气添加,以背景基质的有效弹性模量为初始值,根据页岩的孔隙度和游离气的体积模量确定含硬孔隙背景基质的有效弹性模量;使用以吸附气占比和吸附气的弹性模量为表面弹性参数的微纳米孔隙模型,根据页岩的孔隙度、吸附气占比和纳米多孔有机质的弹性模量,确定考虑吸附气的纳米多孔有机质的有效弹性模量,其中,在微纳米孔隙模型中微纳米孔隙的表面效应与吸附气占比正相关;使用Gassmann方程,根据孔隙度、游离气的体积模量和考虑吸附气的纳米多孔有机质的有效弹性模量,确定考虑吸附气和游离气的饱和纳米多孔有机质的有效弹性模量;使用各向异性包含物模型,将饱和纳米多孔有机质加入到含硬孔隙背景基质中,得到页岩的等效弹性矩阵;以及根据页岩的等效弹性矩阵和密度确定页岩的等效纵波速度和等效横波速度。In a first aspect, the present application provides a method for predicting elastic parameters of a shale reservoir, comprising: acquiring logging data of shale, wherein the logging data includes elastic modulus of minerals, quartz content, clay content, Adsorbed gas fraction, density, and porosity; use the SCA model to determine the effective elastic modulus of the background matrix based on the quartz content and clay content of the minerals; use the inclusion model to add free gas to hard pores to determine the effective elastic modulus of the background matrix The effective elastic modulus of the background matrix containing hard pores is determined according to the porosity of shale and the bulk modulus of free gas; the micro-nano surface elastic modulus is used with the proportion of adsorbed gas and the elastic modulus of adsorbed gas as the surface elastic parameters. The pore model determines the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas according to the porosity of the shale, the proportion of adsorbed gas and the elastic modulus of the nanoporous organic matter. The effect is positively related to the proportion of adsorbed gas; using the Gassmann equation, the porosity of saturated nanoporous organic matter considering adsorbed gas and free gas is determined based on porosity, bulk modulus of free gas, and effective elastic modulus of nanoporous organic matter considering adsorbed gas and free gas. Effective elastic modulus; using the anisotropic inclusion model, adding saturated nanoporous organic matter to the hard pore-bearing background matrix to obtain the equivalent elastic matrix of the shale; and determining the shale based on the equivalent elastic matrix and density of the shale The equivalent longitudinal wave velocity and the equivalent shear wave velocity.
在某些实施例中,按照以下方式确定考虑吸附气的纳米多孔有机质的有效弹性模量:In certain embodiments, the effective elastic modulus of the nanoporous organic matter considering adsorbed gas is determined as follows:
Figure PCTCN2021082006-appb-000001
其中
Figure PCTCN2021082006-appb-000001
in
Figure PCTCN2021082006-appb-000002
其中
Figure PCTCN2021082006-appb-000002
in
ΔK=K 1-K 2,
Figure PCTCN2021082006-appb-000003
ΔK=K 1 -K 2 ,
Figure PCTCN2021082006-appb-000003
其中,
Figure PCTCN2021082006-appb-000004
表示孔隙度,K 1和μ 1分别表示纳米多孔有机质的体积模量和剪切模量,K 2和μ 2分别表示吸附气的体积模量和剪切模量,ΔK表示纳米多孔有机质的体积模量与吸附气的体积模量之差,K eff表示考虑吸附气的纳米多孔有机质的有效体积模量,α表示吸附气占比。
in,
Figure PCTCN2021082006-appb-000004
represents the porosity, K1 and μ1 represent the bulk modulus and shear modulus of the nanoporous organic matter, respectively, K2 and μ2 represent the bulk modulus and shear modulus of the adsorbed gas, respectively, ΔK represents the volume of the nanoporous organic matter The difference between the modulus and the bulk modulus of the adsorbed gas, K eff represents the effective bulk modulus of the nanoporous organic matter considering the adsorbed gas, and α represents the proportion of the adsorbed gas.
在某些实施例中,按照以下方式确定背景基质的有效弹性模量:In certain embodiments, the effective elastic modulus of the background matrix is determined as follows:
Figure PCTCN2021082006-appb-000005
Figure PCTCN2021082006-appb-000005
Figure PCTCN2021082006-appb-000006
Figure PCTCN2021082006-appb-000006
其中,
Figure PCTCN2021082006-appb-000007
Figure PCTCN2021082006-appb-000008
分别表示背景基质的有效体积模量和有效剪切模量,P *Qua和Q *Qua为石英的几何因子,P *Clay和Q *Clay为粘土的几何因子,Qua和Clay分别表示石英含量和粘土含量,K Qua为石英的体积模量,μ Qua为石英的剪切模量,K Clay为粘土的体积模量,μ Clay为粘土的剪切模量。
in,
Figure PCTCN2021082006-appb-000007
and
Figure PCTCN2021082006-appb-000008
represent the effective bulk modulus and effective shear modulus of the background matrix, respectively, P *Qua and Q *Qua are the geometric factors of quartz, P *Clay and Q *Clay are the geometric factors of clay, Qua and Clay represent the quartz content and Clay content, K Qua is the bulk modulus of quartz, μ Qua is the shear modulus of quartz, K Clay is the bulk modulus of clay, and μ Clay is the shear modulus of clay.
在某些实施例中,确定含硬孔隙背景基质的有效弹性模量的包含物模型包括:SCA模型、KT 模型或DEM模型。In certain embodiments, the inclusion model for determining the effective elastic modulus of the hard pore-containing background matrix includes: the SCA model, the KT model, or the DEM model.
第二方面,本申请提供了一种预测页岩储层弹性参数的装置,包括:获取模块,被配置为获取页岩的测井数据,其中,所述测井数据包括矿物的弹性模量、石英含量、粘土含量、吸附气占比、密度和孔隙度;第一确定模块,被配置为使用SCA模型,根据矿物的石英含量和粘土含量确定背景基质的有效弹性模量;第二确定模块,被配置为使用包含物模型对硬孔隙进行游离气添加,以背景基质的有效弹性模量为初始值,根据页岩的孔隙度和游离气的体积模量确定含硬孔隙背景基质的有效弹性模量;第三确定模块,被配置为使用以吸附气占比和吸附气的弹性模量为表面弹性参数的微纳米孔隙模型,根据页岩的孔隙度、吸附气占比和纳米多孔有机质的弹性模量,确定考虑吸附气的纳米多孔有机质的有效弹性模量,其中,在所述微纳米孔隙模型中微纳米孔隙的表面效应与吸附气占比正相关;第四确定模块,被配置为使用Gassmann方程,根据孔隙度、游离气的体积模量和考虑吸附气的纳米多孔有机质的有效弹性模量,确定考虑吸附气和游离气的饱和纳米多孔有机质的有效弹性模量;第五确定模块,被配置为使用各向异性包含物模型,将饱和纳米多孔有机质加入到含硬孔隙背景基质中,得到页岩的等效弹性矩阵;以及第六确定模块,被配置为根据所述页岩的等效弹性矩阵和密度确定页岩的等效纵波速度和等效横波速度。In a second aspect, the present application provides an apparatus for predicting elastic parameters of a shale reservoir, comprising: an acquisition module configured to acquire logging data of shale, wherein the logging data includes elastic modulus of minerals, Quartz content, clay content, proportion of adsorbed gas, density and porosity; a first determination module, configured to use the SCA model, to determine the effective elastic modulus of the background matrix based on the quartz content and clay content of the minerals; a second determination module, Configured to perform free gas addition to hard pores using an inclusion model, with the effective elastic modulus of the background matrix as an initial value, the effective elastic modulus of the background matrix containing hard pores is determined from the porosity of the shale and the bulk modulus of free gas The third determination module is configured to use the micro-nano pore model with the proportion of adsorbed gas and the elastic modulus of the adsorbed gas as the surface elastic parameters, according to the porosity of the shale, the proportion of adsorbed gas and the elasticity of the nanoporous organic matter modulus, determining the effective elastic modulus of the nanoporous organic matter considering adsorbed gas, wherein in the micro-nanopore model, the surface effect of micro-nanopores is positively correlated with the proportion of adsorbed gas; a fourth determination module, configured to use Gassmann equation, according to the porosity, the bulk modulus of free gas and the effective elastic modulus of nanoporous organic matter considering adsorbed gas, to determine the effective elastic modulus of saturated nanoporous organic matter considering adsorbed gas and free gas; the fifth determination module, is configured to use an anisotropic inclusion model to add saturated nanoporous organic matter to the hard pore containing background matrix to obtain an equivalent elastic matrix of the shale; The effective elastic matrix and density determine the equivalent P-wave velocity and equivalent shear-wave velocity of the shale.
在某些实施例中,第三确定模块,被配置为按照以下方式确定考虑吸附气的纳米多孔有机质的有效弹性模量:In certain embodiments, the third determination module is configured to determine the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas in the following manner:
Figure PCTCN2021082006-appb-000009
其中
Figure PCTCN2021082006-appb-000009
in
Figure PCTCN2021082006-appb-000010
其中
Figure PCTCN2021082006-appb-000010
in
ΔK=K 1-K 2,
Figure PCTCN2021082006-appb-000011
ΔK=K 1 -K 2 ,
Figure PCTCN2021082006-appb-000011
其中,
Figure PCTCN2021082006-appb-000012
表示孔隙度,K 1和μ 1分别表示纳米多孔有机质的体积模量和剪切模量,K 2和μ 2分别表示吸附气的体积模量和剪切模量,ΔK表示纳米多孔有机质的体积模量与吸附气的体积模量之差,K eff表示考虑吸附气的纳米多孔有机质的有效体积模量,α表示吸附气占比。
in,
Figure PCTCN2021082006-appb-000012
represents the porosity, K1 and μ1 represent the bulk modulus and shear modulus of the nanoporous organic matter, respectively, K2 and μ2 represent the bulk modulus and shear modulus of the adsorbed gas, respectively, ΔK represents the volume of the nanoporous organic matter The difference between the modulus and the bulk modulus of the adsorbed gas, K eff represents the effective bulk modulus of the nanoporous organic matter considering the adsorbed gas, and α represents the proportion of the adsorbed gas.
在某些实施例中,第一确定模块,被配置为按照以下方式确定背景基质的有效弹性模量:In certain embodiments, the first determination module is configured to determine the effective elastic modulus of the background matrix in the following manner:
Figure PCTCN2021082006-appb-000013
Figure PCTCN2021082006-appb-000013
Figure PCTCN2021082006-appb-000014
Figure PCTCN2021082006-appb-000014
其中,
Figure PCTCN2021082006-appb-000015
Figure PCTCN2021082006-appb-000016
分别表示背景基质的有效体积模量和有效剪切模量,P *Qua和Q *Qua为石英的几 何因子,P *Clay和Q *Clay为粘土的几何因子,Qua和Clay分别表示石英含量和粘土含量,K Qua为石英的体积模量,μ Qua为石英的剪切模量,K Clay为粘土的体积模量,μ Clay为粘土的剪切模量。
in,
Figure PCTCN2021082006-appb-000015
and
Figure PCTCN2021082006-appb-000016
represent the effective bulk modulus and effective shear modulus of the background matrix, respectively, P *Qua and Q *Qua are the geometric factors of quartz, P *Clay and Q *Clay are the geometric factors of clay, Qua and Clay represent the quartz content and Clay content, K Qua is the bulk modulus of quartz, μ Qua is the shear modulus of quartz, K Clay is the bulk modulus of clay, and μ Clay is the shear modulus of clay.
在某些实施例中,确定含硬孔隙背景基质的有效弹性模量的包含物模型包括:SCA模型、KT模型或DEM模型。In certain embodiments, the inclusion model for determining the effective elastic modulus of the hard pore-containing background matrix includes: the SCA model, the KT model, or the DEM model.
第三方面,本申请提供了一种计算机设备,该计算机设备包括:存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序;计算机程序被处理器执行时实现预测页岩储层弹性参数的方法的步骤。In a third aspect, the present application provides a computer device comprising: a memory, a processor, and a computer program stored in the memory and executable on the processor; when the computer program is executed by the processor, predicting shale storage is realized. The steps of the method for layer elasticity parameters.
第四方面,本申请提供了一种计算机可读存储介质,计算机可读存储介质上存储有预测页岩储层弹性参数的程序,预测页岩储层弹性参数的程序被处理器执行时实现预测页岩储层弹性参数的方法的步骤。In a fourth aspect, the present application provides a computer-readable storage medium, where a program for predicting elastic parameters of a shale reservoir is stored, and the program for predicting elastic parameters of a shale reservoir is executed by a processor to achieve prediction Steps of a method for elastic parameters of a shale reservoir.
本申请实施例提供的上述技术方案与现有技术相比具有如下优点:本申请实施例提供的该方法,将微纳米孔隙的吸附作用与有机质相结合,实现了页岩储层整体岩石弹性参数的合理预测。Compared with the prior art, the above technical solutions provided in the embodiments of the present application have the following advantages: the method provided in the embodiments of the present application combines the adsorption of micro-nano pores with organic matter to realize the overall rock elastic parameters of the shale reservoir. reasonable forecast.
附图说明Description of drawings
此处的附图被并入说明书中并构成本说明书的一部分,示出了符合本申请的实施例,并与说明书一起用于解释本申请的原理。The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments consistent with the application and together with the description serve to explain the principles of the application.
为了更清楚地说明本申请实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,对于本领域普通技术人员而言,在不付出创造性劳动性的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the following briefly introduces the accompanying drawings that need to be used in the description of the embodiments or the prior art. In other words, on the premise of no creative labor, other drawings can also be obtained from these drawings.
图1为表面效应引起的吸附现象的示意图;Fig. 1 is the schematic diagram of adsorption phenomenon caused by surface effect;
图2显示了不同孔隙度下有效体积模量与吸附气占比的关系;Figure 2 shows the relationship between the effective bulk modulus and the proportion of adsorbed gas under different porosity;
图3为本申请实施例提供的预测页岩储层弹性参数的方法一种实施方式的流程图;3 is a flowchart of an embodiment of a method for predicting elastic parameters of a shale reservoir provided in an embodiment of the present application;
图4为本申请实施例提供的预测页岩储层弹性参数的方法一种优选实施方式的流程图;4 is a flowchart of a preferred embodiment of the method for predicting elastic parameters of a shale reservoir provided in the embodiment of the present application;
图5给出了不同孔隙度下p波速度随吸附气占比变化与对应测井数据;Fig. 5 shows the variation of p-wave velocity with the proportion of adsorbed gas and the corresponding logging data under different porosity;
图6显示了不同TOC下p波速度随着吸附气占比变化与对应测井数据;Fig. 6 shows the variation of p-wave velocity with the proportion of adsorbed gas and the corresponding logging data under different TOCs;
图7为本申请实施例提供的预测页岩储层弹性参数的装置一种实施方式的结构框图;以及FIG. 7 is a structural block diagram of an embodiment of the apparatus for predicting elastic parameters of shale reservoirs provided by the embodiment of the present application; and
图8为本申请实施例提供的计算机设备一种实施方式的硬件示意图。FIG. 8 is a schematic hardware diagram of an implementation manner of a computer device provided in an embodiment of the present application.
具体实施方式Detailed ways
应当理解,此处所描述的具体实施例仅仅用以解释本申请,并不用于限定本申请。It should be understood that the specific embodiments described herein are only used to explain the present application, but not to limit the present application.
在后续的描述中,使用用于表示元件的诸如“模块”、“部件”或“单元”的后缀仅为了有利于 本申请的说明,其本身没有特定的意义。因此,“模块”、“部件”或“单元”可以混合地使用。In the following description, suffixes such as "module", "component" or "unit" used to represent elements are used only to facilitate the description of the present application, and have no specific meaning per se. Thus, "module", "component" or "unit" may be used interchangeably.
在页岩有机质中发育了大量的微纳米孔隙。当孔径达到纳米级时,由于吸附效应和尺寸效应,其弹性性质会发生很大的变化。常规页岩物理模型未考虑上述因素,因此,本申请提供避免上述问题和缺陷的方法,并提供考虑微纳米孔隙吸附效应的方法,实现页岩储层弹性参数预测。本申请实施例中,将微纳米孔隙的吸附作用与有机质相结合,实现了页岩储层整体岩石弹性参数的合理预测。A large number of micro- and nano-pores are developed in shale organic matter. When the pore size reaches nanoscale, its elastic properties change greatly due to adsorption and size effects. Conventional shale physical models do not consider the above factors. Therefore, the present application provides a method to avoid the above problems and defects, and provides a method to consider the adsorption effect of micro-nano pores, so as to realize the prediction of elastic parameters of shale reservoirs. In the embodiment of the present application, the adsorption of micro-nano pores is combined with organic matter, so as to realize a reasonable prediction of the overall rock elastic parameters of the shale reservoir.
微纳米孔隙模型Micro-Nano Pore Model
一种由Sharma,et al.,2004,‘Size-Dependent Eshelby's Tensor for Embedded Nano-Inclusions Incorporating Surface/Interface Energies’,Journal of Applied Mechanics,72(4):663-671,建立的微纳米孔隙模型被用于表征含微纳米球形孔介质的表面效应。通过引入表面弹性参数得到介质的有效弹性模量,如式(1)所示。A micro-nano pore model established by Sharma, et al., 2004, 'Size-Dependent Eshelby's Tensor for Embedded Nano-Inclusions Incorporating Surface/Interface Energies', Journal of Applied Mechanics, 72(4):663-671, is It is used to characterize the surface effect of media containing micro-nano spherical pores. The effective elastic modulus of the medium is obtained by introducing the surface elastic parameter, as shown in formula (1).
Figure PCTCN2021082006-appb-000017
Figure PCTCN2021082006-appb-000017
其中in
Figure PCTCN2021082006-appb-000018
Figure PCTCN2021082006-appb-000018
公式(1)中,K s表示表面体积模量,定义为K s=2(λ ss),其中λ s和μ s定义为表面拉梅参数。
Figure PCTCN2021082006-appb-000019
为孔隙度,R代表孔径。K 1和μ 1为基质的体积模量和剪切模量,K 2和μ 2为包含物的体积模量和剪切模量。Q定义如公式(2)所示,ΔK为基质体积模量和包含物体积模量之差,K eff为有效体积模量。
In formula (1), K s represents the bulk modulus of the surface, which is defined as K s =2(λ s + μ s ), where λ s and μ s are defined as surface Lame parameters.
Figure PCTCN2021082006-appb-000019
is the porosity, and R represents the pore size. K 1 and μ 1 are the bulk and shear moduli of the matrix, and K 2 and μ 2 are the bulk and shear moduli of the inclusions. Q is defined as shown in formula (2), ΔK is the difference between the bulk modulus of the matrix and the bulk modulus of the inclusions, and Keff is the effective bulk modulus.
在页岩中,有机质中发育的孔隙通常为纳米级别,当充满页岩气时,孔隙表面发生吸附作用,吸附一定厚度的气体分子,直到孔隙表面两侧能量平衡。此时,吸附厚度由表面弹性模量决定,如下式(3)所示。In shale, pores developed in organic matter are usually nano-scale. When filled with shale gas, adsorption occurs on the pore surface, adsorbing gas molecules of a certain thickness until the energy balance on both sides of the pore surface. At this time, the adsorption thickness is determined by the surface elastic modulus, as shown in the following formula (3).
Figure PCTCN2021082006-appb-000020
Figure PCTCN2021082006-appb-000020
公式(3)中,λ 22为吸附气的拉梅常数,h 2是吸附气厚度,K s为表面体积模量,λ s和μ s为 表面拉梅参数。值得注意的是,正常状态下气体的剪切模量为零,而吸附气体分子具有定向性并表现出类固体性质,可以认为这部分气体具有一定的剪切模量。 In formula (3), λ 2 , μ 2 are the Lame constants of the adsorbed gas, h 2 is the thickness of the adsorbed gas, K s is the surface bulk modulus, and λ s and μ s are the surface Lame parameters. It is worth noting that the shear modulus of the gas is zero under normal conditions, while the adsorbed gas molecules are directional and exhibit solid-like properties. It can be considered that this part of the gas has a certain shear modulus.
因此,在本申请实施例中,将孔隙中的气体分为两类:一类吸附在孔隙表面,另一类自由分布在剩余孔隙空间,分别称为吸附气(adsorbed gas)和游离气(free gas),如图1所示。Therefore, in the embodiments of the present application, the gases in the pores are divided into two categories: one is adsorbed on the surface of the pores, and the other is freely distributed in the remaining pore space, which are called adsorbed gas and free gas respectively. gas), as shown in Figure 1.
参考图1所示,h 1为表面原子与体弹性不同的厚度,h 2为吸附气厚度,R代表孔径。则游离气与总气体体积比表示为公式(4)。 Referring to Fig. 1, h 1 is the thickness of the surface atoms different from the bulk elasticity, h 2 is the thickness of the adsorbed gas, and R represents the pore size. Then the volume ratio of free gas to total gas is expressed as formula (4).
Figure PCTCN2021082006-appb-000021
Figure PCTCN2021082006-appb-000021
在公式(4)中,V free和V total分别为单个孔隙中的游离气体积和总气体体积,α是吸附气占比,R代表孔径,h 2为吸附气厚度。 In formula (4), V free and V total are the free gas volume and total gas volume in a single pore, respectively, α is the proportion of adsorbed gas, R represents the pore size, and h 2 is the thickness of adsorbed gas.
将公式(4)代入公式(3)中得到公式(5):Substitute formula (4) into formula (3) to obtain formula (5):
Figure PCTCN2021082006-appb-000022
Figure PCTCN2021082006-appb-000022
其中,α是吸附气占比,R代表孔径,K 2和μ 2为包含物的体积模量和剪切模量,k定义如公式(5)所示。 Among them, α is the proportion of adsorbed gas, R represents the pore size, K 2 and μ 2 are the bulk modulus and shear modulus of the inclusions, and k is defined as shown in formula (5).
将公式(5)代入公式(1),得到有效体积模量为:Substituting formula (5) into formula (1), the effective bulk modulus is obtained as:
Figure PCTCN2021082006-appb-000023
Figure PCTCN2021082006-appb-000023
其中,
Figure PCTCN2021082006-appb-000024
为孔隙度,K 1和μ 1为纳米多孔有机质的体积模量和剪切模量,K 2和μ 2为包含物(本申请实施例中为吸附气)的体积模量和剪切模量,ΔK为纳米多孔有机质的体积模量和包含物的体积模量之差,k和Q定义如公式(6)所示,K eff为含吸附气的纳米多孔有机质的有效体积模量,α 是吸附气占比。
in,
Figure PCTCN2021082006-appb-000024
is the porosity, K 1 and μ 1 are the bulk modulus and shear modulus of the nanoporous organic matter, K 2 and μ 2 are the bulk modulus and shear modulus of the inclusions (adsorbed gas in the embodiment of the present application) , ΔK is the difference between the bulk modulus of the nanoporous organic matter and the bulk modulus of the inclusions, k and Q are defined as formula (6), K eff is the effective bulk modulus of the nanoporous organic matter containing adsorbed gas, α is The proportion of adsorbed gas.
这里,微纳米孔隙的表面效应以吸附气占比表征(α-dependent)而不是表面弹性模量和孔径(size-dependent)。也就是说,吸附气比影响了纳米多孔页岩的整体弹性特性。Here, the surface effect of micro-nanopores is characterized by the proportion of adsorbed gas (α-dependent) rather than surface elastic modulus and pore size (size-dependent). That is, the adsorbed gas ratio affects the overall elastic properties of nanoporous shale.
不同孔隙度下吸附气占比α对有效弹性模量的影响如图2所示。如图2所示,α的增加导致有效体积模量的减小,α越大,模量减小得越明显。The effect of the proportion of adsorbed gas α on the effective elastic modulus under different porosity is shown in Figure 2. As shown in Figure 2, an increase in α leads to a decrease in the effective bulk modulus, and the larger the α, the more pronounced the decrease in modulus.
预测页岩储层弹性参数Predicting elastic parameters of shale reservoirs
本申请实施例提供了一种预测页岩储层弹性参数的方法,如图3所示,该方法包括步骤S302至步骤S314。在本实施例中,主要考虑纳米级孔隙的表面吸附作用。页岩基质主要由石英和粘土组成,孔隙主要发育于基质中,孔径远大于纳米级的粒间孔(硬孔)和纳米级有机孔。硬孔中只充满游离气体,而纳米孔由于表面效应同时充满游离气和吸附气。An embodiment of the present application provides a method for predicting elastic parameters of a shale reservoir. As shown in FIG. 3 , the method includes steps S302 to S314. In this embodiment, the surface adsorption of nano-scale pores is mainly considered. The shale matrix is mainly composed of quartz and clay, and the pores are mainly developed in the matrix, and the pore size is much larger than the nano-scale intergranular pores (hard pores) and nano-scale organic pores. Hard pores are only filled with free gas, while nanopores are filled with both free gas and adsorbed gas due to surface effects.
步骤S302,获取页岩的测井数据。Step S302, acquiring logging data of shale.
其中,测井数据包括矿物的弹性模量、石英含量、粘土含量、吸附气占比、密度和孔隙度。Among them, the logging data includes elastic modulus of minerals, quartz content, clay content, proportion of adsorbed gas, density and porosity.
步骤S304,使用SCA模型,根据矿物的石英含量和粘土含量确定背景基质的有效弹性模量。In step S304, the SCA model is used to determine the effective elastic modulus of the background matrix according to the quartz content and the clay content of the minerals.
步骤S306,使用包含物模型对硬孔隙进行游离气添加,以背景基质的有效弹性模量为初始值,根据页岩的孔隙度和游离气的体积模量确定含硬孔隙背景基质的有效弹性模量。Step S306, use the inclusion model to add free gas to the hard pores, take the effective elastic modulus of the background matrix as the initial value, and determine the effective elastic modulus of the background matrix containing hard pores according to the porosity of the shale and the bulk modulus of free gas. quantity.
步骤S308,使用以吸附气占比和吸附气的弹性模量为表面弹性参数的微纳米孔隙模型,根据页岩的孔隙度、吸附气占比和纳米多孔有机质的弹性模量,确定考虑吸附气的纳米多孔有机质的有效弹性模量。Step S308 , using the micro-nano pore model with the proportion of adsorbed gas and the elastic modulus of the adsorbed gas as the surface elastic parameters, and according to the porosity of the shale, the proportion of adsorbed gas and the elastic modulus of the nano-porous organic matter, it is determined to consider the adsorbed gas. The effective elastic modulus of nanoporous organic matter.
其中,在微纳米孔隙模型中微纳米孔隙的表面效应与吸附气占比正相关。Among them, in the micro-nano pore model, the surface effect of micro-nano pores is positively correlated with the proportion of adsorbed gas.
步骤S310,使用Gassmann方程,根据孔隙度、游离气的体积模量和考虑吸附气的纳米多孔有机质的有效弹性模量,确定考虑吸附气和游离气的饱和纳米多孔有机质的有效弹性模量。Step S310 , using the Gassmann equation, according to the porosity, the bulk modulus of the free gas, and the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas, to determine the effective elastic modulus of the saturated nanoporous organic matter considering the adsorbed gas and the free gas.
步骤S312,使用各向异性包含物模型,将饱和纳米多孔有机质加入到含硬孔隙背景基质中,得到页岩的等效弹性矩阵。Step S312, using the anisotropic inclusion model, adding saturated nanoporous organic matter into the background matrix containing hard pores to obtain an equivalent elastic matrix of shale.
步骤S314,根据页岩的等效弹性矩阵和密度确定页岩的等效纵波速度和等效横波速度。In step S314, the equivalent longitudinal wave velocity and the equivalent shear wave velocity of the shale are determined according to the equivalent elastic matrix and the density of the shale.
在某些实施例中,上述步骤S308中按照公式(6)确定考虑吸附气的纳米多孔有机质的有效弹性模量,其中,
Figure PCTCN2021082006-appb-000025
表示孔隙度,K 1和μ 1分别表示纳米多孔有机质的体积模量和剪切模量,K 2和μ 2分别表示吸附气的体积模量和剪切模量,ΔK表示纳米多孔有机质的体积模量与吸附气的体积模量之差,K eff表示考虑吸附气的纳米多孔有机质的有效体积模量,α表示吸附气占比。
In some embodiments, in the above step S308, the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas is determined according to formula (6), wherein,
Figure PCTCN2021082006-appb-000025
represents the porosity, K1 and μ1 represent the bulk modulus and shear modulus of the nanoporous organic matter, respectively, K2 and μ2 represent the bulk modulus and shear modulus of the adsorbed gas, respectively, ΔK represents the volume of the nanoporous organic matter The difference between the modulus and the bulk modulus of the adsorbed gas, K eff represents the effective bulk modulus of the nanoporous organic matter considering the adsorbed gas, and α represents the proportion of the adsorbed gas.
在某些实施例中,确定含硬孔隙背景基质的有效弹性模量的包含物模型包括:SCA模型、KT 模型或DEM模型。In certain embodiments, the inclusion model for determining the effective elastic modulus of the hard pore-containing background matrix includes: the SCA model, the KT model, or the DEM model.
下面对本申请实施例的一个优选实施方式进行描述。如图4所示,主要包括确定背景基质的有效弹性模量(步骤S402)、确定含硬孔隙背景基质的有效弹性模量(步骤S404)、确定纳米多孔有机质的有效弹性模量(步骤S406)和饱和页岩等效速度估算(步骤S408)。A preferred implementation of the embodiments of the present application will be described below. As shown in FIG. 4 , it mainly includes determining the effective elastic modulus of the background matrix (step S402 ), determining the effective elastic modulus of the background matrix containing hard pores (step S404 ), and determining the effective elastic modulus of the nanoporous organic matter (step S406 ). and saturated shale equivalent velocity estimation (step S408).
步骤S402,确定背景基质的有效弹性模量。Step S402, determining the effective elastic modulus of the background matrix.
其成分为石英和粘土。采用SCA模型求解背景基质的弹性模量,其中长宽比分别为1.0和0.5。SCA模型如公式(7)所示。Its components are quartz and clay. The elastic modulus of the background matrix was solved using the SCA model, where the aspect ratios were 1.0 and 0.5, respectively. The SCA model is shown in formula (7).
Figure PCTCN2021082006-appb-000026
Figure PCTCN2021082006-appb-000026
其中,
Figure PCTCN2021082006-appb-000027
Figure PCTCN2021082006-appb-000028
分别表示背景基质的有效体积模量和有效剪切模量,P *Qua和Q *Qua为石英的几何因子,P *Clay和Q *Clay为粘土的几何因子,Qua和Clay分别表示石英含量和粘土含量,K Qua为石英的体积模量,μ Qua为石英的剪切模量,K Clay为粘土的体积模量,μ Clay为粘土的剪切模量。
in,
Figure PCTCN2021082006-appb-000027
and
Figure PCTCN2021082006-appb-000028
represent the effective bulk modulus and effective shear modulus of the background matrix, respectively, P *Qua and Q *Qua are the geometric factors of quartz, P *Clay and Q *Clay are the geometric factors of clay, Qua and Clay represent the quartz content and Clay content, K Qua is the bulk modulus of quartz, μ Qua is the shear modulus of quartz, K Clay is the bulk modulus of clay, and μ Clay is the shear modulus of clay.
步骤S404,确定含硬孔隙背景基质的有效弹性模量。Step S404, determining the effective elastic modulus of the hard pore-containing background matrix.
由于页岩的低渗、低孔隙度,常规流体替换理论如Gassmann方程不适用,采用DEM模型(也可以是SCA模型、KT模型等其他包含物模型)对含游离气的硬孔隙进行添加。孔隙纵横比设为0.5。DEM模型如公式(8)所示。Due to the low permeability and low porosity of shale, conventional fluid replacement theory such as Gassmann equation is not applicable, and the DEM model (or other inclusion models such as SCA model, KT model, etc.) is used to add free gas-containing hard pores. The pore aspect ratio was set to 0.5. The DEM model is shown in formula (8).
Figure PCTCN2021082006-appb-000029
Figure PCTCN2021082006-appb-000029
其中φ p为硬孔孔隙度,K f为游离气的体积模量,
Figure PCTCN2021082006-appb-000030
为步骤S402得到的背景基质的有效体积模量;计算结果
Figure PCTCN2021082006-appb-000031
Figure PCTCN2021082006-appb-000032
分别为含硬孔隙背景基质的有效剪切模量和有效体积模量,
Figure PCTCN2021082006-appb-000033
含硬孔隙背景基质的有效体积模量的迭代初始值,P *p)孔隙形状的几何因子。
where φ p is the hard porosity, K f is the bulk modulus of free gas,
Figure PCTCN2021082006-appb-000030
is the effective bulk modulus of the background matrix obtained in step S402; the calculation result
Figure PCTCN2021082006-appb-000031
and
Figure PCTCN2021082006-appb-000032
are the effective shear modulus and effective bulk modulus of the background matrix with hard pores, respectively,
Figure PCTCN2021082006-appb-000033
Iterative initial value for the effective bulk modulus of the matrix with hard pore background, P *p ) geometric factor for pore shape.
步骤S406,确定纳米多孔有机质的有效弹性模量。Step S406, determining the effective elastic modulus of the nanoporous organic matter.
由于吸附作用,有机质不能直接添加到背景基质中,同时,传统多孔介质理论也不适用。假设纳米孔隙为球形,首先通过公式(6)得到考虑吸附气的纳米多孔有机质的有效弹性模量。值得注意的是,式(6)计算的模量仅考虑吸附气体的影响,其余孔隙空间应采用流体替换理论加入游离 气体,由于纳米级孔隙的连通性较好,此处带入纳米多孔有机质的弹性模量适用Gassmann方程,输出饱和(包括吸附气和游离气)纳米多孔有机质的有效弹性模量。Due to adsorption, organic matter cannot be directly added to the background matrix, and at the same time, the traditional porous media theory is not applicable. Assuming that the nanopores are spherical, the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas is first obtained by formula (6). It is worth noting that the modulus calculated by Equation (6) only considers the effect of adsorbed gas, and free gas should be added to the remaining pore space using the fluid replacement theory. The elastic modulus applies the Gassmann equation to output the effective elastic modulus of the saturated (including adsorbed and free) nanoporous organic matter.
最后利用各向异性SCA模型(也可为DEM模型)将纳米多孔有机质加入到含硬孔隙背景基质中,得到页岩的等效弹性矩阵 C SCA。各向异性SCA模型如公式(9)所示。 Finally, the anisotropic SCA model (also DEM model) is used to add nanoporous organic matter into the background matrix containing hard pores, and the equivalent elastic matrix C SCA of shale is obtained. The anisotropic SCA model is shown in formula (9).
Figure PCTCN2021082006-appb-000034
Figure PCTCN2021082006-appb-000034
其中N=1,2分别代表到含硬孔隙背景基质和饱和纳米多孔有机质,v n为各组分体积分数, C为各组分弹性矩阵,
Figure PCTCN2021082006-appb-000035
为纳米多孔有机质的几何张量。
where N=1 and 2 represent the background matrix with hard pores and saturated nanoporous organic matter, respectively, v n is the volume fraction of each component, C is the elastic matrix of each component,
Figure PCTCN2021082006-appb-000035
is the geometric tensor of nanoporous organic matter.
步骤S408,估算饱和页岩等效速度。Step S408, estimating the equivalent velocity of saturated shale.
通过上述步骤得到饱和页岩的等效弹性矩阵,并根据公式(10)推导出等效纵波速度和等效横波速度。The equivalent elastic matrix of saturated shale is obtained through the above steps, and the equivalent longitudinal wave velocity and equivalent shear wave velocity are derived according to formula (10).
Figure PCTCN2021082006-appb-000036
Figure PCTCN2021082006-appb-000036
其中c 33和c 55由步骤S406得到,ρ为密度。 where c 33 and c 55 are obtained in step S406, and ρ is the density.
图5为不同孔隙度下p波速度随吸附气占比变化的趋势及对应的测井资料。随着吸附气占比α的增大,p波减小,且α越大,减小得越快,说明α越大,对页岩有效p波速度的影响越大。根据公式(2),表面弹性模量和孔隙半径转换为α,而页岩干酪根的表面弹性模量是不变的,高α意味着较小的孔隙半径,因此建立了纳米孔参数和纵波速度之间的关系:高吸附气占比意味着小孔径,也就意味着大的表面效应。此外,测井资料与理论曲线吻合较好。图6为不同TOC及相应测井资料下p波速度随吸附气占比变化的趋势。当TOC变化时,p波速度随α的变化趋势与图5相似。Fig. 5 shows the variation trend of p-wave velocity with the proportion of adsorbed gas under different porosity and the corresponding logging data. With the increase of the proportion of adsorbed gas α, the p-wave decreases, and the larger the α, the faster the decrease, indicating that the larger the α, the greater the impact on the effective p-wave velocity of shale. According to formula (2), the surface elastic modulus and pore radius are converted into α, while the surface elastic modulus of shale kerogen is constant, high α means smaller pore radius, so the nanopore parameters and longitudinal wave are established Relationship between velocities: A high proportion of adsorbed gas means a small pore size, which means a large surface effect. In addition, the logging data are in good agreement with the theoretical curve. Fig. 6 shows the variation trend of p-wave velocity with the proportion of adsorbed gas under different TOC and corresponding logging data. When TOC changes, the change trend of p-wave velocity with α is similar to that in Fig. 5.
本申请实施例还提供了一种预测页岩储层弹性参数的装置,如图7所示,该装置包括:获取模块702,被配置为获取页岩的测井数据,其中,测井数据包括矿物的弹性模量、石英含量、粘土含量、吸附气占比、密度和孔隙度;第一确定模块704,与获取模块702相连,被配置为使用SCA模型,根据矿物的石英含量和粘土含量确定背景基质的有效弹性模量;第二确定模块706,与第一确定模块704相连,被配置为使用包含物模型对硬孔隙进行游离气添加,以背景基质的有效弹性模量为初始值,根据页岩的孔隙度和游离气的体积模量确定含硬孔隙背景基质的有效弹性模量;第三确定模块708,与获取模块702相连,被配置为使用以吸附气占比和吸附气的弹性模量为表面弹性 参数的微纳米孔隙模型,根据页岩的孔隙度、吸附气占比和纳米多孔有机质的弹性模量,确定考虑吸附气的纳米多孔有机质的有效弹性模量,其中,在所述微纳米孔隙模型中微纳米孔隙的表面效应与吸附气占比正相关;第四确定模块710,与第三确定模块708相连,被配置为使用Gassmann方程,根据孔隙度、游离气的体积模量和考虑吸附气的纳米多孔有机质的有效弹性模量,确定考虑吸附气和游离气的饱和纳米多孔有机质的有效弹性模量;第五确定模块712,与第二确定模块706和第四确定模块710相连,被配置为使用各向异性包含物模型,将饱和纳米多孔有机质加入到含硬孔隙背景基质中,得到页岩的等效弹性矩阵;以及第六确定模块714,与第五确定模块712相连,被配置为根据页岩的等效弹性矩阵和密度确定页岩的等效纵波速度和等效横波速度。An embodiment of the present application further provides an apparatus for predicting elastic parameters of a shale reservoir. As shown in FIG. 7 , the apparatus includes: an acquisition module 702 configured to acquire logging data of shale, wherein the logging data includes: The elastic modulus, quartz content, clay content, proportion of adsorbed gas, density and porosity of the mineral; the first determination module 704, connected to the acquisition module 702, is configured to use the SCA model to determine the mineral's quartz content and clay content The effective elastic modulus of the background matrix; the second determination module 706, connected to the first determination module 704, is configured to use the inclusion model to perform free gas addition to the hard pores, with the effective elastic modulus of the background matrix as the initial value, according to The porosity of the shale and the bulk modulus of the free gas determine the effective elastic modulus of the hard pore-containing background matrix; a third determination module 708, connected to the acquisition module 702, is configured to use the percentage of adsorbed gas and the elasticity of adsorbed gas The micro-nano pore model whose modulus is the surface elastic parameter, according to the porosity of shale, the proportion of adsorbed gas and the elastic modulus of nano-porous organic matter, the effective elastic modulus of nano-porous organic matter considering adsorbed gas is determined. The surface effect of the micro-nano pores in the micro-nano pore model is positively correlated with the proportion of adsorbed gas; the fourth determination module 710, connected to the third determination module 708, is configured to use the Gassmann equation, according to the porosity, the bulk modulus of the free gas amount and the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas, determine the effective elastic modulus of the saturated nanoporous organic matter considering the adsorbed gas and the free gas; the fifth determination module 712, the second determination module 706 and the fourth determination module 710 connected and configured to add saturated nanoporous organic matter to the hard pore containing background matrix using an anisotropic inclusion model to obtain an equivalent elastic matrix of shale; and a sixth determination module 714 , which is connected with a fifth determination module 712 is connected and configured to determine the equivalent compressional wave velocity and the equivalent shear wave velocity of the shale according to the equivalent elastic matrix and density of the shale.
本实施例还提供一种计算机设备。本实施例的计算机设备20至少包括但不限于:可通过系统总线相互通信连接的存储器21、处理器22,如图8所示。需要指出的是,图8仅示出了具有组件21-22的计算机设备20,但是应理解的是,并不要求实施所有示出的组件,可以替代的实施更多或者更少的组件。This embodiment also provides a computer device. The computer device 20 in this embodiment at least includes but is not limited to: a memory 21 and a processor 22 that can be communicatively connected to each other through a system bus, as shown in FIG. 8 . It should be noted that FIG. 8 only shows the computer device 20 having components 21-22, but it should be understood that it is not required to implement all of the illustrated components, and more or less components may be implemented instead.
本实施例中,存储器21(即可读存储介质)包括闪存、硬盘、多媒体卡、卡型存储器(例如,SD或DX存储器等)、随机访问存储器(RAM)、静态随机访问存储器(SRAM)、只读存储器(ROM)、电可擦除可编程只读存储器(EEPROM)、可编程只读存储器(PROM)、磁性存储器、磁盘、光盘等。在一些实施例中,存储器21可以是计算机设备20的内部存储单元,例如该计算机设备20的硬盘或内存。在另一些实施例中,存储器21也可以是计算机设备20的外部存储设备,例如该计算机设备20上配备的插接式硬盘,智能存储卡(Smart Media Card,SMC),安全数字(Secure Digital,SD)卡,闪存卡(Flash Card)等。当然,存储器21还可以既包括计算机设备20的内部存储单元也包括其外部存储设备。本实施例中,存储器21通常用于存储安装于计算机设备20的操作系统和各类应用软件,例如预测页岩储层弹性参数的方法的程序代码等。此外,存储器21还可以用于暂时地存储已经输出或者将要输出的各类数据。In this embodiment, the memory 21 (ie, a readable storage medium) includes a flash memory, a hard disk, a multimedia card, a card-type memory (eg, SD or DX memory, etc.), random access memory (RAM), static random access memory (SRAM), Read Only Memory (ROM), Electrically Erasable Programmable Read Only Memory (EEPROM), Programmable Read Only Memory (PROM), Magnetic Memory, Magnetic Disk, Optical Disk, etc. In some embodiments, the memory 21 may be an internal storage unit of the computer device 20 , such as a hard disk or a memory of the computer device 20 . In other embodiments, the memory 21 may also be an external storage device of the computer device 20, such as a plug-in hard disk, a smart memory card (Smart Media Card, SMC), a secure digital (Secure Digital, SD) card, flash memory card (Flash Card), etc. Of course, the memory 21 may also include both the internal storage unit of the computer device 20 and its external storage device. In this embodiment, the memory 21 is generally used to store the operating system installed in the computer device 20 and various application software, such as program codes of a method for predicting elastic parameters of a shale reservoir, and the like. In addition, the memory 21 can also be used to temporarily store various types of data that have been output or will be output.
处理器22在一些实施例中可以是中央处理器(Central Processing Unit,CPU)、控制器、微控制器、微处理器、或其他数据处理芯片。该处理器22通常用于控制计算机设备20的总体操作。本实施例中,处理器22用于运行存储器21中存储的程序代码或者处理数据,例如预测页岩储层弹性参数的程序代码,以实现预测页岩储层弹性参数的方法。In some embodiments, the processor 22 may be a central processing unit (Central Processing Unit, CPU), a controller, a microcontroller, a microprocessor, or other data processing chips. The processor 22 is typically used to control the overall operation of the computer device 20 . In this embodiment, the processor 22 is configured to run program codes or process data stored in the memory 21, such as program codes for predicting elastic parameters of shale reservoirs, so as to implement a method for predicting elastic parameters of shale reservoirs.
本实施例还提供一种计算机可读存储介质,如闪存、硬盘、多媒体卡、卡型存储器(例如,SD或DX存储器等)、随机访问存储器(RAM)、静态随机访问存储器(SRAM)、只读存储器(ROM)、电可擦除可编程只读存储器(EEPROM)、可编程只读存储器(PROM)、磁性存储器、磁盘、光盘、服务器、App应用商城等等,其上存储有计算机程序,程序被处理器执行时实现相应功能。本实施 例的计算机可读存储介质用于存储预测页岩储层弹性参数的程序,被处理器执行时实现预测页岩储层弹性参数的方法的步骤。This embodiment also provides a computer-readable storage medium, such as a flash memory, a hard disk, a multimedia card, a card-type memory (for example, SD or DX memory, etc.), random access memory (RAM), static random access memory (SRAM), only Read-only memory (ROM), Electrically Erasable Programmable Read-Only Memory (EEPROM), Programmable Read-Only Memory (PROM), magnetic memory, magnetic disk, optical disk, server, App application mall, etc., on which computer programs are stored, When the program is executed by the processor, the corresponding function is realized. The computer-readable storage medium of this embodiment is used for storing a program for predicting elastic parameters of shale reservoirs, and when executed by a processor, implements the steps of the method for predicting elastic parameters of shale reservoirs.
需要说明的是,在本文中,术语“包括”、“包含”或者其任何其他变体意在涵盖非排他性的包含,从而使得包括一系列要素的过程、方法、物品或者装置不仅包括那些要素,而且还包括没有明确列出的其他要素,或者是还包括为这种过程、方法、物品或者装置所固有的要素。在没有更多限制的情况下,由语句“包括一个……”限定的要素,并不排除在包括该要素的过程、方法、物品或者装置中还存在另外的相同要素。It should be noted that, herein, the terms "comprising", "comprising" or any other variation thereof are intended to encompass non-exclusive inclusion, such that a process, method, article or device comprising a series of elements includes not only those elements, It also includes other elements not expressly listed or inherent to such a process, method, article or apparatus. Without further limitation, an element qualified by the phrase "comprising a..." does not preclude the presence of additional identical elements in a process, method, article or apparatus that includes the element.
上述本发明实施例序号仅仅为了描述,不代表实施例的优劣。The above-mentioned serial numbers of the embodiments of the present invention are only for description, and do not represent the advantages or disadvantages of the embodiments.
通过以上的实施方式的描述,本领域的技术人员可以清楚地了解到上述实施例方法可借助软件加必需的通用硬件平台的方式来实现,当然也可以通过硬件,但很多情况下前者是更佳的实施方式。基于这样的理解,本发明的技术方案本质上或者说对现有技术做出贡献的部分可以以软件产品的形式体现出来,该计算机软件产品存储在一个存储介质(如ROM/RAM、磁碟、光盘)中,包括若干指令用以使得一台终端(可以是手机,计算机,服务器,空调器,或者网络设备等)执行本发明各个实施例所述的方法。From the description of the above embodiments, those skilled in the art can clearly understand that the method of the above embodiment can be implemented by means of software plus a necessary general hardware platform, and of course can also be implemented by hardware, but in many cases the former is better implementation. Based on this understanding, the technical solutions of the present invention can be embodied in the form of software products in essence or the parts that make contributions to the prior art, and the computer software products are stored in a storage medium (such as ROM/RAM, magnetic disk, CD), including several instructions to make a terminal (which may be a mobile phone, a computer, a server, an air conditioner, or a network device, etc.) execute the methods described in the various embodiments of the present invention.
上面结合附图对本申请的实施例进行了描述,但是本申请并不局限于上述的具体实施方式,上述的具体实施方式仅仅是示意性的,而不是限制性的,本领域的普通技术人员在本申请的启示下,在不脱离本申请宗旨和权利要求所保护的范围情况下,还可做出很多形式,这些均属于本申请的保护之内。The embodiments of the present application have been described above in conjunction with the accompanying drawings, but the present application is not limited to the above-mentioned specific embodiments, which are merely illustrative rather than restrictive. Under the inspiration of this application, many forms can be made without departing from the scope of protection of the purpose of this application and the claims, which all fall within the protection of this application.
工业实用性Industrial Applicability
本申请实施例提供的该方法,将微纳米孔隙的吸附作用与有机质相结合,实现了页岩储层整体岩石弹性参数的合理预测,具有工业实用性。The method provided in the embodiment of the present application combines the adsorption of micro-nano pores with organic matter, and realizes the reasonable prediction of the overall rock elastic parameters of the shale reservoir, which has industrial practicability.

Claims (10)

  1. 一种预测页岩储层弹性参数的方法,包括:A method for predicting elastic parameters of a shale reservoir, comprising:
    获取页岩的测井数据,其中,所述测井数据包括矿物的弹性模量、石英含量、粘土含量、吸附气占比、密度和孔隙度;Obtaining logging data of shale, wherein the logging data includes elastic modulus, quartz content, clay content, proportion of adsorbed gas, density and porosity of minerals;
    使用SCA模型,根据矿物的石英含量和粘土含量确定背景基质的有效弹性模量;Use the SCA model to determine the effective elastic modulus of the background matrix based on the quartz content and clay content of the minerals;
    使用包含物模型对硬孔隙进行游离气添加,以背景基质的有效弹性模量为初始值,根据页岩的孔隙度和游离气的体积模量确定含硬孔隙背景基质的有效弹性模量;Using the inclusion model to add free gas to the hard pores, the effective elastic modulus of the background matrix is used as the initial value, and the effective elastic modulus of the background matrix containing hard pores is determined according to the porosity of the shale and the bulk modulus of free gas;
    使用以吸附气占比和吸附气的弹性模量为表面弹性参数的微纳米孔隙模型,根据页岩的孔隙度、吸附气占比和纳米多孔有机质的弹性模量,确定考虑吸附气的纳米多孔有机质的有效弹性模量,其中,在所述微纳米孔隙模型中微纳米孔隙的表面效应与吸附气占比正相关;Using the micro-nano pore model with the proportion of adsorbed gas and the elastic modulus of adsorbed gas as the surface elastic parameters, according to the porosity of shale, the proportion of adsorbed gas and the elastic modulus of nanoporous organic matter, the nanoporous pores considering adsorbed gas are determined. The effective elastic modulus of the organic matter, wherein in the micro-nano pore model, the surface effect of the micro-nano pores is positively correlated with the proportion of adsorbed gas;
    使用Gassmann方程,根据孔隙度、游离气的体积模量和考虑吸附气的纳米多孔有机质的有效弹性模量,确定考虑吸附气和游离气的饱和纳米多孔有机质的有效弹性模量;Using the Gassmann equation, determine the effective elastic modulus of saturated nanoporous organic matter considering adsorbed gas and free gas based on porosity, bulk modulus of free gas, and effective elastic modulus of nanoporous organic matter considering adsorbed gas;
    使用各向异性包含物模型,将饱和纳米多孔有机质加入到含硬孔隙背景基质中,得到页岩的等效弹性矩阵;以及Using an anisotropic inclusion model, adding saturated nanoporous organic matter to a hard pore-bearing background matrix yields an equivalent elastic matrix for shale; and
    根据所述页岩的等效弹性矩阵和密度确定页岩的等效纵波速度和等效横波速度。The equivalent longitudinal wave velocity and the equivalent shear wave velocity of the shale are determined according to the equivalent elastic matrix and density of the shale.
  2. 根据权利要求1所述的方法,其中,按照以下方式确定考虑吸附气的纳米多孔有机质的有效弹性模量:The method of claim 1, wherein the effective elastic modulus of the nanoporous organic matter taking into account adsorbed gas is determined as follows:
    Figure PCTCN2021082006-appb-100001
    其中
    Figure PCTCN2021082006-appb-100001
    in
    Figure PCTCN2021082006-appb-100002
    其中
    Figure PCTCN2021082006-appb-100002
    in
    ΔK=K 1-K 2,
    Figure PCTCN2021082006-appb-100003
    ΔK=K 1 -K 2 ,
    Figure PCTCN2021082006-appb-100003
    其中,
    Figure PCTCN2021082006-appb-100004
    表示孔隙度,K 1和μ 1分别表示纳米多孔有机质的体积模量和剪切模量,K 2和μ 2分别表示吸附气的体积模量和剪切模量,ΔK表示纳米多孔有机质的体积模量与吸附气的体积模量之差,K eff表示考虑吸附气的纳米多孔有机质的有效体积模量,α表示吸附气占比。
    in,
    Figure PCTCN2021082006-appb-100004
    represents the porosity, K1 and μ1 represent the bulk modulus and shear modulus of the nanoporous organic matter, respectively, K2 and μ2 represent the bulk modulus and shear modulus of the adsorbed gas, respectively, ΔK represents the volume of the nanoporous organic matter The difference between the modulus and the bulk modulus of the adsorbed gas, K eff represents the effective bulk modulus of the nanoporous organic matter considering the adsorbed gas, and α represents the proportion of the adsorbed gas.
  3. 根据权利要求1所述的方法,其中,按照以下方式确定背景基质的有效弹性模量:The method of claim 1, wherein the effective elastic modulus of the background matrix is determined as follows:
    Figure PCTCN2021082006-appb-100005
    Figure PCTCN2021082006-appb-100005
    Figure PCTCN2021082006-appb-100006
    Figure PCTCN2021082006-appb-100006
    其中,
    Figure PCTCN2021082006-appb-100007
    Figure PCTCN2021082006-appb-100008
    分别表示背景基质的有效体积模量和有效剪切模量,P *Qua和Q *Qua为石英的几何因 子,P *Clay和Q *Clay为粘土的几何因子,Qua和Clay分别表示石英含量和粘土含量,K Qua为石英的体积模量,μ Qua为石英的剪切模量,K Clay为粘土的体积模量,μ Clay为粘土的剪切模量。
    in,
    Figure PCTCN2021082006-appb-100007
    and
    Figure PCTCN2021082006-appb-100008
    represent the effective bulk modulus and effective shear modulus of the background matrix, respectively, P *Qua and Q *Qua are the geometric factors of quartz, P *Clay and Q *Clay are the geometric factors of clay, Qua and Clay represent the quartz content and Clay content, K Qua is the bulk modulus of quartz, μ Qua is the shear modulus of quartz, K Clay is the bulk modulus of clay, and μ Clay is the shear modulus of clay.
  4. 根据权利要求1所述的方法,其中,确定含硬孔隙背景基质的有效弹性模量的包含物模型包括:SCA模型、KT模型或DEM模型。The method of claim 1, wherein the inclusion model for determining the effective elastic modulus of the hard pore-containing background matrix comprises: an SCA model, a KT model, or a DEM model.
  5. 一种预测页岩储层弹性参数的装置,包括:A device for predicting elastic parameters of a shale reservoir, comprising:
    获取模块,被配置为获取页岩的测井数据,其中,所述测井数据包括矿物的弹性模量、石英含量、粘土含量、吸附气占比、密度和孔隙度;an acquisition module configured to acquire logging data of shale, wherein the logging data includes elastic modulus of minerals, quartz content, clay content, proportion of adsorbed gas, density and porosity;
    第一确定模块,被配置为使用SCA模型,根据矿物的石英含量和粘土含量确定背景基质的有效弹性模量;a first determination module configured to use the SCA model to determine the effective elastic modulus of the background matrix based on the mineral's quartz content and clay content;
    第二确定模块,被配置为使用包含物模型对硬孔隙进行游离气添加,以背景基质的有效弹性模量为初始值,根据页岩的孔隙度和游离气的体积模量确定含硬孔隙背景基质的有效弹性模量;The second determination module is configured to use the inclusion model to add free gas to the hard pores, with the effective elastic modulus of the background matrix as the initial value, and determine the background of the hard pores according to the porosity of the shale and the bulk modulus of the free gas the effective elastic modulus of the matrix;
    第三确定模块,被配置为使用以吸附气占比和吸附气的弹性模量为表面弹性参数的微纳米孔隙模型,根据页岩的孔隙度、吸附气占比和纳米多孔有机质的弹性模量,确定考虑吸附气的纳米多孔有机质的有效弹性模量,其中,在所述微纳米孔隙模型中微纳米孔隙的表面效应与吸附气占比正相关;The third determination module is configured to use the micro-nano pore model with the proportion of adsorbed gas and the elastic modulus of the adsorbed gas as the surface elastic parameters, according to the porosity of the shale, the proportion of adsorbed gas and the elastic modulus of the nanoporous organic matter , determine the effective elastic modulus of the nanoporous organic matter considering the adsorbed gas, wherein, in the micro-nano pore model, the surface effect of the micro-nano pore is positively correlated with the proportion of the adsorbed gas;
    第四确定模块,被配置为使用Gassmann方程,根据孔隙度、游离气的体积模量和考虑吸附气的纳米多孔有机质的有效弹性模量,确定考虑吸附气和游离气的饱和纳米多孔有机质的有效弹性模量;A fourth determination module is configured to use the Gassmann equation to determine the effectiveness of saturated nanoporous organic matter considering adsorbed gas and free gas based on porosity, bulk modulus of free gas, and effective elastic modulus of nanoporous organic matter considering adsorbed gas. Elastic Modulus;
    第五确定模块,被配置为使用各向异性包含物模型,将饱和纳米多孔有机质加入到含硬孔隙背景基质中,得到页岩的等效弹性矩阵;以及a fifth determination module configured to add saturated nanoporous organic matter to the hard pore-bearing background matrix to obtain an equivalent elastic matrix of the shale using an anisotropic inclusion model; and
    第六确定模块,被配置为根据所述页岩的等效弹性矩阵和密度确定页岩的等效纵波速度和等效横波速度。The sixth determination module is configured to determine the equivalent longitudinal wave velocity and the equivalent shear wave velocity of the shale according to the equivalent elastic matrix and the density of the shale.
  6. 根据权利要求5所述的装置,其中,所述第三确定模块,被配置为按照以下方式确定考虑吸附气的纳米多孔有机质的有效弹性模量:The apparatus of claim 5, wherein the third determination module is configured to determine the effective elastic modulus of the nanoporous organic matter considering adsorbed gas in the following manner:
    Figure PCTCN2021082006-appb-100009
    其中
    Figure PCTCN2021082006-appb-100009
    in
    Figure PCTCN2021082006-appb-100010
    其中
    Figure PCTCN2021082006-appb-100010
    in
    ΔK=K 1-K 2,
    Figure PCTCN2021082006-appb-100011
    ΔK=K 1 -K 2 ,
    Figure PCTCN2021082006-appb-100011
    其中,
    Figure PCTCN2021082006-appb-100012
    表示孔隙度,K 1和μ 1分别表示纳米多孔有机质的体积模量和剪切模量,K 2和μ 2分别表示吸附气的体积模量和剪切模量,ΔK表示纳米多孔有机质的体积模量与吸附气的体积模量之差, K eff表示考虑吸附气的纳米多孔有机质的有效体积模量,α表示吸附气占比。
    in,
    Figure PCTCN2021082006-appb-100012
    represents the porosity, K1 and μ1 represent the bulk modulus and shear modulus of the nanoporous organic matter, respectively, K2 and μ2 represent the bulk modulus and shear modulus of the adsorbed gas, respectively, ΔK represents the volume of the nanoporous organic matter The difference between the modulus and the bulk modulus of the adsorbed gas, K eff represents the effective bulk modulus of the nanoporous organic matter considering the adsorbed gas, and α represents the proportion of the adsorbed gas.
  7. 根据权利要求5所述的装置,其中,所述第一确定模块,被配置为按照以下方式确定背景基质的有效弹性模量:The apparatus of claim 5, wherein the first determining module is configured to determine the effective elastic modulus of the background matrix in the following manner:
    Figure PCTCN2021082006-appb-100013
    Figure PCTCN2021082006-appb-100013
    Figure PCTCN2021082006-appb-100014
    Figure PCTCN2021082006-appb-100014
    其中,
    Figure PCTCN2021082006-appb-100015
    Figure PCTCN2021082006-appb-100016
    分别表示背景基质的有效体积模量和有效剪切模量,P *Qua和Q *Qua为石英的几何因子,P *Clay和Q *Clay为粘土的几何因子,Qua和Clay分别表示石英含量和粘土含量,K Qua为石英的体积模量,μ Qua为石英的剪切模量,K Clay为粘土的体积模量,μ Clay为粘土的剪切模量。
    in,
    Figure PCTCN2021082006-appb-100015
    and
    Figure PCTCN2021082006-appb-100016
    represent the effective bulk modulus and effective shear modulus of the background matrix, respectively, P *Qua and Q *Qua are the geometric factors of quartz, P *Clay and Q *Clay are the geometric factors of clay, Qua and Clay represent the quartz content and Clay content, K Qua is the bulk modulus of quartz, μ Qua is the shear modulus of quartz, K Clay is the bulk modulus of clay, and μ Clay is the shear modulus of clay.
  8. 根据权利要求5所述的装置,其中,确定含硬孔隙背景基质的有效弹性模量的包含物模型包括:SCA模型、KT模型或DEM模型。6. The apparatus of claim 5, wherein the inclusion model for determining the effective elastic modulus of the hard pore-containing background matrix comprises: an SCA model, a KT model, or a DEM model.
  9. 一种计算机设备,所述计算机设备包括:A computer device comprising:
    存储器、处理器及存储在所述存储器上并可在所述处理器上运行的计算机程序;a memory, a processor, and a computer program stored on the memory and executable on the processor;
    所述计算机程序被所述处理器执行时实现如权利要求1至4中任一项所述的预测页岩储层弹性参数的方法的步骤。The computer program when executed by the processor implements the steps of the method for predicting elastic parameters of a shale reservoir as claimed in any one of claims 1 to 4.
  10. 一种计算机可读存储介质,所述计算机可读存储介质上存储有预测页岩储层弹性参数的程序,所述预测页岩储层弹性参数的程序被处理器执行时实现如权利要求1至4中任一项所述的预测页岩储层弹性参数的方法的步骤。A computer-readable storage medium on which a program for predicting elastic parameters of shale reservoirs is stored, and when the program for predicting elastic parameters of shale reservoirs is executed by a processor, the implementation as claimed in claim 1 to The steps of any one of 4 methods for predicting elastic parameters of a shale reservoir.
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