CN108133072B - Mica Ar-Ar chronology thermal history simulation method and system - Google Patents

Mica Ar-Ar chronology thermal history simulation method and system Download PDF

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CN108133072B
CN108133072B CN201711143921.3A CN201711143921A CN108133072B CN 108133072 B CN108133072 B CN 108133072B CN 201711143921 A CN201711143921 A CN 201711143921A CN 108133072 B CN108133072 B CN 108133072B
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丁汝鑫
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Abstract

The invention discloses a mica Ar-Ar chronology thermal history simulation method and a mica Ar-Ar chronology thermal history simulation system, wherein the method comprises the following steps: giving the blocking temperature of the mica Ar-Ar chronology; obtaining the equivalent radius of a spherulite diffusion model of mica Ar-Ar chronology according to the sealing temperature; establishing a spherulite diffusion equation of mica Ar-Ar chronology according to the equivalent radius of the spherulite diffusion model; establishing a relation between the age and the heat history of the mica Ar-Ar terrace through a spherulite diffusion equation; the mica Ar-Ar plateau age was combined with any data type for thermal history simulations based on the relationship between mica Ar-Ar plateau age and thermal history. According to the invention, the equivalent radius of the spherical particle diffusion model is obtained by firstly giving the chronology sealing temperature of mica Ar-Ar, and then the method for establishing the relationship between the age of the mica Ar-Ar plateau and the thermal history is established, so that the age of the mica Ar-Ar plateau can be directly used for recovering the thermal history, and more selectable ways can be provided for recovering the thermal history.

Description

Mica Ar-Ar chronology thermal history simulation method and system
Technical Field
The invention relates to the technical field of thermal history simulation, in particular to a mica Ar-Ar chronology thermal history simulation method and system.
Background
In the traditional mica Ar-Ar chronology, the geological phenomenon is explained mainly by using the age of a mica Ar-Ar plateau or the thermal history simulation obtained by other low-temperature chronology methods (such as fission tracks) is restrained by using the age of the mica Ar-Ar plateau and a closed temperature range, and the thermal history inversion cannot be directly carried out, so that the thermal history simulation function of the traditional mica Ar-Ar chronology method is not well exerted.
Disclosure of Invention
The present invention is directed to solving, at least to some extent, one of the technical problems in the related art described above.
Therefore, the invention aims to provide a mica Ar-Ar chronology thermal history simulation method. According to the mica Ar-Ar chronology thermal history simulation method, the equivalent radius of a spherical particle diffusion model is obtained by giving the mica Ar-Ar chronology closed temperature, and then the relationship between the age of a mica Ar-Ar plateau and the thermal history is established through a spherical particle diffusion equation, so that the age of the mica Ar-Ar plateau can be directly used for recovering the thermal history, and more selectable approaches can be provided for recovering the thermal history.
Another purpose of the invention is to provide a mica Ar-Ar chronology thermal history simulation system.
In order to achieve the above object, an aspect of the present invention discloses a mica Ar-Ar chronology thermal history simulation method, comprising: giving the blocking temperature of the mica Ar-Ar chronology; obtaining a spherulite diffusion model equivalent radius of the mica Ar-Ar chronology according to the blocking temperature of the mica Ar-Ar chronology; establishing a spherulite diffusion equation of the mica Ar-Ar chronology according to the equivalent radius of the spherulite diffusion model of the mica Ar-Ar chronology; establishing a relation between the age and the heat history of the mica Ar-Ar plateau through a spherulite diffusion equation of the mica Ar-Ar chronology; and combining the age of the mica Ar-Ar plateau with any data type to perform thermal history simulation according to the relationship between the age of the mica Ar-Ar plateau and the thermal history.
According to the mica Ar-Ar chronology thermal history simulation method, the mica Ar-Ar chronology closed temperature is given to obtain the equivalent radius of a spherical particle diffusion model, and then the relation between the mica Ar-Ar plateau age and the thermal history is established through a spherical particle diffusion equation, so that the mica Ar-Ar plateau age can be directly used for recovering the thermal history, and more selectable ways can be provided for recovering the thermal history.
In addition, the mica Ar-Ar chronology thermal history simulation method according to the above embodiment of the present invention may also have the following additional technical features:
further, the step of performing thermal history simulation on the age of the mica Ar-Ar plateau in combination with any data type specifically comprises: and (3) performing thermal simulation on the age of the mica Ar-Ar terrace, the age of the fission track, the age of U-Th/He, the length of the fission diameter track circumference track, the reflectivity of the vitrinite and one or more of the bedrock quartz light-release methods.
In another aspect of the invention, a mica Ar-Ar chronology thermal history simulation system is disclosed, comprising: a given module for a given mica Ar-Ar chronology blocking temperature; the solving module is connected with the given module and used for solving the spherical particle diffusion model equivalent radius of the mica Ar-Ar chronology according to the closed temperature of the mica Ar-Ar chronology; the establishing module is connected with the solving module and used for establishing a spherical particle diffusion equation of the mica Ar-Ar chronology according to the equivalent radius of the spherical particle diffusion model of the mica Ar-Ar chronology; the building module is connected with the building module and used for building the relationship between the age and the heat history of the mica Ar-Ar plateau through the spherulite diffusion equation of the mica Ar-Ar chronology; and the simulation module is connected with the building module and is used for combining the age of the mica Ar-Ar plateau and any data type to perform thermal history simulation according to the relationship between the age of the mica Ar-Ar plateau and the thermal history.
According to the mica Ar-Ar chronology thermal history simulation system, the mica Ar-Ar chronology closed temperature is given to obtain the equivalent radius of a spherical particle diffusion model, and then the relation between the mica Ar-Ar plateau age and the thermal history is established through a spherical particle diffusion equation, so that the mica Ar-Ar plateau age can be directly used for recovering the thermal history, and more selectable ways can be provided for recovering the thermal history.
In addition, the mica Ar-Ar chronology thermal history simulation system according to the above embodiment of the present invention may further have the following additional technical features:
further, the simulation module is specifically configured to: and (3) performing thermal simulation on the age of the mica Ar-Ar terrace, the age of the fission track, the age of U-Th/He, the length of the fission track circumference track, the reflectivity of a vitrinite and one or more of the light-release methods of the bedrock quartz.
Further, still include: and the display module is used for displaying the thermal history simulation result.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
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The above and/or additional aspects and advantages of the present invention will become apparent and readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which:
FIG. 1 is a flow chart of a mica Ar-Ar chronology thermal history simulation method according to one embodiment of the present invention;
FIG. 2 is a schematic diagram of a thermal history simulation data type combination selection;
FIG. 3 is a schematic diagram showing the combination of the age of the Ar-Ar plateau of mica, the age of the zircon fission track and the age of the apatite fission track;
FIG. 4 is a graphical representation of the combined input data for mica Ar-Ar plateau age, zircon fission track age, and apatite fission track age;
FIG. 5 is a default display interface of mica Ar-Ar plateau age, zircon fission track age, apatite fission track age combination simulation results;
FIG. 6 is a conventional display interface of mica Ar-Ar plateau age, zircon fission track age, apatite fission track age combination simulation results;
FIG. 7 is a block diagram of a mica Ar-Ar chronology thermal history simulation system according to one embodiment of the present invention.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the drawings are illustrative only and should not be construed as limiting the invention.
The method and system for simulating the mica Ar-Ar chronology thermal history according to the embodiment of the invention are described in the following with the accompanying drawings.
FIG. 1 is a flow chart of a mica Ar-Ar chronology thermal history simulation method according to one embodiment of the present invention.
As shown in fig. 1, a mica Ar-Ar chronology thermal history simulation method according to an embodiment of the present invention includes:
s110: the blocking temperature of the mica Ar-Ar chronology is given.
Wherein the chronologically blocking temperature of mica Ar-Ar is the temperature at which cooling of the mica Ar-Ar after formation to a temperature at which retention of the radiogenic isotope is substantially complete is indicated.
S120: and (4) solving the equivalent radius of the spherulite diffusion model of the mica Ar-Ar chronology according to the blocking temperature of the mica Ar-Ar chronology.
Specifically, firstly, a sealing temperature is given, and then the equivalent radius of the spherical particle diffusion model is obtained according to a sealing temperature calculation formula:
Figure BDA0001472066200000051
wherein a is the equivalent radius (mum) of the diffusion model of the spherulite, A is the geometric factor (55 in the case of spherulite), and T iscFor the blocking temperature (K), dT/dT is the cooling rate (. degree. C./Ma), EaFor activation energy (J/mol), D0Is the frequency factor (m) in the Alnerius equation2And/s), R is a gas constant (8.3145J/(mol. K)). Since the chronologic blocking temperature of mica Ar-Ar is usually a range, maximum and minimum values for the blocking temperature are given, so that correspondingly maximum and minimum equivalent radii are calculated. Thus the spherulite diffusion model equivalent radius is a range during thermal history simulations by mica Ar-Ar chronology.
S130: and establishing a spherulite diffusion equation of the mica Ar-Ar chronology according to the equivalent radius of the spherulite diffusion model of the mica Ar-Ar chronology.
Specifically, the following spherulite diffusion equation was used:
Figure RE-GDA0001624748020000052
where C is concentration,. kappa.is diffusion coefficient,. t is time, A0Is composed of40Ar generation rate, a is the sphere diffusion model equivalent radius. Knowing the diffusion radius, the equation can be solved.
S140: the relationship between the age of mica Ar-Ar plateau and the heat history is built through the spherulite diffusion equation of mica Ar-Ar chronology.
In particular, in the above diffusion equation, plateau age corresponds to40The generation rate of Ar is Tc=λ×CKtλ is40K generation40Decay constant of Ar, CKtIs composed of40Concentration of K at time t. And CKt=CK0×eλt,CK0Is nowadays40The concentration of K. CK0In practice, no measurement is required, it is only a quantity for comparison, a value (e.g. 100ppm) can be assumed, and the calculation is carried out40Ar is compared with the obtained value to obtain the age value. The diffusion coefficient is expressed by an arrhenius formula, and different thermal histories correspond to different temperature-time parameters, so that the obtained diffusion coefficients are different. Finally, the diffusion equation can be solved by a finite difference method, and the solution is obtained through calculation40The change in Ar concentration was calculated40And calculating the corresponding plateau age value by using methods such as interpolation function integration and the like according to the Ar total amount.
S150: the thermal history simulations were performed with mica Ar-Ar plateau age combined with any data type based on the relationship between mica Ar-Ar plateau age and thermal history.
Step S150 specifically includes: and (3) performing thermal simulation on the age of the mica Ar-Ar terrace, the age of the fission track, the age of U-Th/He, the length of the fission track circumference track, the reflectivity of a vitrinite and one or more of the light-release methods of the bedrock quartz.
In particular, the heat history is compared and screened by uniform acceptable or high accuracy fit, which results in any combination of comparable use between any methods and on that basis. Wherein for the mica Ar-Ar process, since a closed temperature range is given first, the age corresponding to each thermal history is also a range; if this range crosses the acceptable fitness range based on the age of the mica Ar-Ar plateau, the thermal history assumed by the Monte Carlo method during the thermal history inversion process is considered acceptable.
As shown in FIG. 2, the embodiment of the present application can be implemented by a Low-T Thermo software. When the software is used, the data type input interface comprises the following steps: apatite Fission Track Age (Apatite Fission Track Age), Apatite U-Th/He (Apatite U-Th/He), Zircon Fission Track Age (zirconia Fission Track Age), Mica Ar-Ar plateau Age (Mica Ar-Ar), vitrinite reflectance (% Ro), Apatite Fission Track perimeter Track Length (Apatite Fission Track Length), Zircon U-Th/He (zirconia U-Th/He), and Bedrock Quartz luminescence (Bedrock Quartz OSL).
Take three combinations as an example: a thermal history simulation was performed on a combination of the Zircon fissile Track Age (Zircon Fision Track Age), the Apatite fissile Track Age (Apatite Fision Track Age), and the Mica Ar-Ar plateau Age (Mica Ar-Ar).
As shown in fig. 3, a combination of the corresponding Zircon Fission Track Age (zirconia Fission Track Age), Apatite Fission Track Age (apatate Fission Track Age), and Mica Ar-Ar plateau Age (Mica Ar-Ar) was selected and subjected to thermal history simulation, and corresponding data types were input as shown in fig. 4, and for apatate Fission Track Age, the options Age and σ (standard error) were provided, and for Zircon Fission Track Age, the corresponding options Age and σ (standard error) were selected and input, and for Mica Ar-Ar, the corresponding options Age and σ (standard error), Ea (activation energy), D0 (diffusion coefficient at infinite temperature), and Tc (sealing temperature) were provided. In conjunction with FIG. 5, the software of the present application further includes a data results display, wherein the interface for default display of results, C1 represents simulated results, and wherein the thermal history curves are all acceptable thermal history curves, and wherein the black bold line (i.e., the average thermal history curve) represents the optimal thermal history simulation results. The age values for the optimal thermal history simulation curve (black bold line in the simulation results) are shown on the right. Referring to FIG. 6, C2 represents the final simulation result in the conventional display format, wherein the gray-white part range P1 is the acceptable range, and the gray-black part range P2 is the high precision range (GOF ≧ 0.5, where GOF represents the deviation degree of the simulation value from the experimental measured value). Wherein the black bold line (i.e., the average thermal history curve) represents the optimal thermal history simulation results. The age values for the optimal thermal history simulation curve (black bold line in the simulation results) are shown on the right.
According to the mica Ar-Ar chronology thermal history simulation method, the mica Ar-Ar chronology closed temperature is given to obtain the equivalent radius of a spherical particle diffusion model, and then the relation between the mica Ar-Ar plateau age and the thermal history is established through a spherical particle diffusion equation, so that the mica Ar-Ar plateau age can be directly used for recovering the thermal history, and more selectable ways can be provided for recovering the thermal history.
FIG. 7 is a block diagram of a mica Ar-Ar chronology thermal history simulation system according to one embodiment of the present invention.
As shown in FIG. 7, a mica Ar-Ar chronology thermal history simulation system 200 according to an embodiment of the present invention includes: a given module 210, a solving module 220, a building module 230, a building module 240, and a simulation module 250.
Where a given module 210 is used for a given mica Ar-Ar chronology blocking temperature. A solving module 220 is coupled to the given module 210 for solving a spherical particle diffusion model equivalent radius for the mica Ar-Ar chronology based on the blocking temperature for the mica Ar-Ar chronology. The establishing module 230 is connected with the solving module 220 and is used for establishing a spherical particle diffusion equation of the mica Ar-Ar chronology according to the equivalent radius of the spherical particle diffusion model of the mica Ar-Ar chronology. The building module 240 is connected with the building module 230 and is used for building the relationship between the age and the heat history of the mica Ar-Ar plateau through a spherical particle diffusion equation of mica Ar-Ar chronology. The simulation module 250 is connected with the building module 240 and is used for combining the age of the mica Ar-Ar plateau with any data type to carry out thermal history simulation according to the relationship between the age of the mica Ar-Ar plateau and the thermal history.
According to the mica Ar-Ar chronology thermal history simulation system, the mica Ar-Ar chronology closed temperature is given to obtain the equivalent radius of a spherical particle diffusion model, and then the relation between the mica Ar-Ar plateau age and the thermal history is established through a spherical particle diffusion equation, so that the mica Ar-Ar plateau age can be directly used for recovering the thermal history, and more selectable ways can be provided for recovering the thermal history.
In some embodiments, the simulation module 250 is specifically configured to: and performing thermal simulation on the age of the mica Ar-Ar terrace, the age of the fission track, the age of U-Th/He, the length of the fission track circumference track, the reflectivity of a vitrinite and one or more of the bedrock quartz light-release methods.
In some embodiments, further comprising: and the display module is used for displaying the thermal history simulation result.
It should be noted that a specific implementation manner of the mica Ar-Ar chronology thermal history simulation system in the embodiment of the present invention is similar to a specific implementation manner of the mica Ar-Ar chronology thermal history simulation method in the embodiment of the present invention, and please refer to the description of the mica Ar-Ar chronology thermal history simulation method, which is not repeated herein in order to reduce redundancy.
Furthermore, the terms "first", "second" and "first" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defined as "first" or "second" may explicitly or implicitly include at least one such feature. In the description of the present invention, "a plurality" means at least two, e.g., two, three, etc., unless specifically limited otherwise.
In the present invention, unless otherwise expressly stated or limited, the terms "mounted," "connected," "secured," and the like are to be construed broadly and can, for example, be fixedly connected, detachably connected, or integrally formed; can be mechanically or electrically connected; they may be directly connected or indirectly connected through intervening media, or they may be connected internally or in any other suitable relationship, unless expressly stated otherwise. Those skilled in the art can understand the specific meaning of the above terms in the present invention according to specific situations.
In the description herein, references to the description of the term "one embodiment," "some embodiments," "an example," "a specific example," or "some examples," etc., mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above are not necessarily intended to refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples. Furthermore, various embodiments or examples and features of different embodiments or examples described in this specification can be combined and combined by one skilled in the art without contradiction.
Although embodiments of the present invention have been shown and described above, it is understood that the above embodiments are exemplary and should not be construed as limiting the present invention, and that variations, modifications, substitutions and alterations can be made to the above embodiments by those of ordinary skill in the art within the scope of the present invention.

Claims (5)

1. A mica Ar-Ar chronology thermal history simulation method is characterized by comprising the following steps:
giving the blocking temperature of the mica Ar-Ar chronology;
calculating the equivalent radius of a spherulite diffusion model of the mica Ar-Ar chronology according to the blocking temperature of the mica Ar-Ar chronology, wherein the spherulite diffusion model is
Figure FDA0003069371350000011
Wherein a is the equivalent radius of the spherical particle diffusion model, A is the geometric factor, and TcFor sealing temperature, dT/dT is cooling rate, EaTo activation energy, D0Is a frequency factor in an Arrhenius formula, and R is a gas constant;
establishing a spherulite diffusion equation of the mica Ar-Ar chronology according to the equivalent radius of the spherulite diffusion model of the mica Ar-Ar chronology, wherein the spherulite diffusion equation is
Figure FDA0003069371350000012
Wherein C is concentration, κ is diffusion coefficient, t is time, A0Is composed of40Ar generation rate, a is the equivalent radius of the spherical particle diffusion model;
establishing a relation between the age and the thermal history of the mica Ar-Ar plateau through a spherulite diffusion equation of the mica Ar-Ar chronology;
and combining the age of the mica Ar-Ar plateau with any data type to perform thermal history simulation according to the relationship between the age of the mica Ar-Ar plateau and the thermal history.
2. The mica Ar-Ar chronology thermal history simulation method of claim 1, wherein the step of performing thermal history simulation combining the age of mica Ar-Ar plateau with any data type specifically comprises: and (3) performing thermal simulation on the age of the mica Ar-Ar terrace, the age of the fission track, the age of U-Th/He, the length of the fission track circumference track, the reflectivity of a vitrinite and one or more of the light-release methods of the bedrock quartz.
3. A mica Ar-Ar chronology thermal history simulation system is characterized by comprising:
a given module for giving a blocking temperature of mica Ar-Ar chronology;
a solving module connected with the given module and used for solving the equivalent radius of the spherical particle diffusion model of the mica Ar-Ar chronology according to the closed temperature of the mica Ar-Ar chronology, wherein the spherical particle diffusion model is
Figure FDA0003069371350000013
Wherein a is the equivalent radius of the spherical particle diffusion model, A is the geometric factor, and TcFor sealing temperature, dT/dT is cooling rate, EaTo activation energy, D0Is a frequency factor in an Arrhenius formula, and R is a gas constant;
the establishing module is connected with the solving module and used for establishing a spherulite diffusion equation of the mica Ar-Ar chronology according to the equivalent radius of the spherulite diffusion model of the mica Ar-Ar chronology, and the spherulite diffusion equation is
Figure FDA0003069371350000021
Wherein C is concentration, κ is diffusion coefficient, t is time, A0Is composed of40Ar generation rate, a is the equivalent radius of the spherical particle diffusion model;
the building module is connected with the building module and used for building the relationship between the age and the heat history of the mica Ar-Ar plateau through the spherulite diffusion equation of the mica Ar-Ar chronology;
and the simulation module is connected with the building module and is used for combining the age of the mica Ar-Ar plateau and any data type to perform thermal history simulation according to the relationship between the age of the mica Ar-Ar plateau and the thermal history.
4. The mica Ar-Ar chronology thermal history simulation system of claim 3, wherein the simulation module is specifically configured to: and (3) performing thermal simulation on the age of the mica Ar-Ar terrace, the age of the fission track, the age of U-Th/He, the length of the fission track circumference track, the reflectivity of a vitrinite and one or more of the light-release methods of the bedrock quartz.
5. The mica Ar-Ar chronology thermal history simulation system of claim 3, further comprising: and the display module is used for displaying the thermal history simulation result.
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