CN116825220A - Marine organic carbon degradation process evaluation method based on continuity distribution function - Google Patents
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Abstract
The invention discloses a method for evaluating a degradation process of marine organic carbon based on a continuous distribution function, which belongs to the field of geochemistry and marine geology research of marine sediments, and takes the influence of organic matter activity in the marine sediments on the degradation process of the organic matter into consideration, wherein the influence of factors such as sedimentation rate, compression process of the upper sediment on the lower sediment, biological disturbance and the like on the degradation process of the organic matter is reflected in a model by describing the activity distribution characteristics of the organic matter in different marine sites through lognormal distribution, and the degradation process of the organic matter in the sediment is quantitatively evaluated through a reaction-diffusion model. The method takes the influence of the organic matter autogenous activity factors on the degradation speed and the influence of the complex marine environment on the organic matter degradation process into consideration, and the method is used for constructing a marine sediment organic matter degradation model to analyze the difference of organic matter activity distribution in different sites, and has important significance in evaluating the influence of the marine sediment carbon circulation on the regional and even global carbon circulation.
Description
Technical Field
The invention belongs to the field of marine sediment geochemistry and marine geology research, and particularly relates to a marine organic carbon degradation process evaluation method based on a continuous distribution function.
Background
The ocean occupies more than 70% of the surface area of the global surface, being the largest active carbon reservoir in the earth's system. Studies have shown that the global ocean absorbs about 20 hundred million tons of CO from the atmosphere each year 2 30% -40% of the annual emission of the world, which is atmospheric CO in the past 200 years 2 The only net sink is that it regulates the atmosphere CO 2 The content level and the relief of global climate change play an important role.
Marine sediments are important sites for carbon burial in the marine system, and organic matter is an important component thereof. The degradation process of organic matters in marine sediments directly or indirectly participates in almost all geochemical processes (such as reduction reactions of nitrate, manganese, iron and sulfate radical) in sediments, and is a key factor for driving the carbon circulation of a marine system. In addition, the degradation process of the organic matters of the sediment determines the circulation of the source elements and the main process of the organic matters of the sediment stored in the sediment environment, controls the biogeochemical processes of the storage of the organic matters of the sediment, the remineralization, the regeneration of nutrient salts, the formation and dissolution of authigenic minerals and the like, and ensures that the organic matters are converted from organic matters to inorganic forms through the remineralization, thus forming an important ring in the energy conversion and the biogeochemical circulation of key source elements in the marine ecological system. Therefore, the modeling work for the organic matter degradation process is particularly important.
The degradation process of sediment organic matters is a main driving force of carbon circulation, and under the combined action of physical, chemical, biological and other processes, organic carbon is converted into Dissolved Inorganic Carbon (DIC) and released into an upper water column to serve as an important 'source' of seawater DIC. The biological geochemical circulation process of the ocean sediment carbon can be quantitatively simulated by taking the mathematical model into consideration, the biological geochemical circulation process is increasingly focused and valued by the academic community, and compared with the qualitative description of the organic matter degradation process by laboratory analysis and test, the mathematical model can break through the limitation of time and space, and quantitatively acquire the reaction rates and the carbon flux of different carbon circulation processes of the ocean sediment. Therefore, reasonably simulating the degradation process of organic matters in the sediment is important for understanding the feedback mechanism between the evolution of the climate environment and the carbon circulation process in depth, measuring the relative contribution of the feedback mechanism in the global carbon circulation, and accurately predicting the evolution trend of the future carbon circulation. However, the existing modeling work cannot fully show the difference of the activity of the organic matters in different sites, so that the degradation process of the organic matters in the sediment cannot be accurately simulated.
Disclosure of Invention
The invention provides a marine organic carbon degradation process evaluation method based on a continuity distribution function, which aims to solve the defect that the existing model can not accurately describe the activity distribution characteristics of organic matters in different sites, adopts lognormal distribution to describe the difference of the activities of the organic matters in sediments, considers the influence of sedimentation rate, compaction process and biological disturbance in the sediments on the degradation of the organic matters, and accurately evaluates the influence of complex marine sediment environment on the degradation process of the organic matters.
The invention is realized by adopting the following technical scheme: a marine organic carbon degradation process evaluation method based on a continuous distribution function comprises the following steps:
step A, constructing a continuous organic matter degradation model based on lognormal distribution by taking porosity change into consideration:
(1) Constructing a continuous organic matter degradation model based on lognormal distribution:
，
wherein G (t) represents the change of organic matter content with time, G (0) represents the content of organic matter at a sediment-seawater interface, k represents the activity of the organic matter, t represents time, sigma represents the activity range of the organic matter, lnmu is the average value of lnk, sigma 2 Is the variance of ln k, μ represents the overall size of the organic matter activity;
(2) The constructed continuous organic matter degradation model is perfected by considering the characteristic that the porosity in the sediment becomes lower with the depth, and the relation between the time term and the depth in the above formula is expressed as:
，
wherein phi is f Indicating the porosity of the underlying deposit,is the porosity of the deposit, w is the burial rate,indicating the sedimentation rate of the solid particles, x indicating the depth position;
the simplification is as follows:，
substituting the simplified relation between the time item and the depth into the model in the step (1), namely constructing a continuous organic matter degradation model based on lognormal distribution by taking the porosity change into consideration.
Step B, establishing an organic matter degradation and burial balance mode under the compaction effect, and establishing an organic matter degradation numerical model considering the sediment compaction process based on the organic matter degradation and burial balance mode;
compaction of the upper layer deposit against the lower layer deposit is expressed as follows:
，
wherein phi is f And w f Representing the porosity and the sedimentation rate of the solid particles in the underlying sediment, respectively, phi (x) and w (x) representing the pore water and sedimentation rate of the sediment at depth x;
considering compaction, the conservation of substance equation in the degradation of organic matter in the sediment is:
，
wherein C is OM Represents the content of organic matters, w f Represents the sedimentation rate of the underlying sediment, R OM Indicating the degradation rate of the organic matter.
And C, considering the influence of the sediment biological disturbance process on the organic matter degradation process, constructing an organic matter degradation mode under the consideration of biological disturbance factors, and establishing an organic matter degradation process model in a complex sedimentation environment to evaluate the organic carbon degradation process.
Further, in the step C, the biological disturbance is added to the conservation equation of matter when the degradation of the organic matter by the compaction is considered, and the conservation equation of matter is expressed as:
，
wherein C is OM (x, t) is the organic content, φ is the porosity of the deposit, x is the depth, t is the time, R OM Represents the degradation efficiency of organic matters, w is the burial rate, D b The biological disturbance coefficient is related to the depth of water in the region and meets the following requirementsZ represents the water depth.
Further, in the step C,
，
taking into account R OM The term being an integral term, in which case R is required OM Discrete summation processing is performed, specifically as follows:
(1) The activity of the organic matter is described by lognormal distribution, which is discretized into 1000 independent small components, wherein the activity of the organic matter is distributed from 10 -10 yr -1 –10 4 yr -1 Uniformly dividing, and rewriting a conservation equation of substances added with the influence of biological disturbance into:
，
wherein Ri OM represents the degradation rate of each active ingredient organic matter, expressed as follows:
，
wherein k is i The component representing activity i has a range of values: 10 -10 yr -1 –10 4 yr -1 ，f i The corresponding active organic matters account for the total percentage.
(2) According to the basic principle of statistics, the total area covered under the continuous distribution function is constant at 1, based on which, when 1<i<At 1000, each f i Expressed as:
，
wherein ρ is i Represents the abscissa k in the lognormal distribution i Corresponding ordinate values, when i=1 and i=1000, i.e. k 1 =10 -10 yr -1 And k 1000 =10 4 yr -1 ，f 1 =f 1000 = (1-0.9999983)/2, enterAnd by solving RiOM, quantitative calculation and analysis of the marine organic carbon degradation process based on lognormal distribution are realized.
Compared with the prior art, the invention has the advantages and positive effects that:
according to the scheme, distribution characteristics of organic matter activity in different sites are distinguished through lognormal distribution, a continuous organic matter degradation model based on lognormal distribution is established, meanwhile, the influence of a burying process, a compacting effect and a biological disturbance process on the organic matter degradation process is comprehensively considered by combining a reaction-diffusion model, the defect that other models cannot accurately describe the distribution characteristics of the organic matter activity in different sites is overcome, and the distribution characteristics of the organic matter activity are accurately depicted through lognormal distribution. Meanwhile, the scheme also provides modeling of the organic matter degradation process and a solving scheme when the sediment compaction effect is considered and the biological disturbance process is considered in the surface sediment;
the method is suitable for simulating the degradation process of the organic matters in the global complex settlement environment, the simulation result can clearly distinguish the activity distribution of the organic matters in different sites, and meanwhile, the method is favorable for evaluating the degradation process of the organic matters in an area or a global scale, and theoretical support is provided for quantifying the global sediment carbon circulation and evaluating the contribution of the sediment carbon circulation to the ocean water body and the global carbon circulation.
Drawings
Fig. 1 is a schematic flow chart of an evaluation method for the degradation process of marine organic carbon according to an embodiment of the invention.
Detailed Description
In order that the above objects, features and advantages of the invention will be more readily understood, a further description of the invention will be rendered by reference to specific embodiments thereof which are illustrated in the appended drawings. In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention, however, the present invention may be practiced otherwise than as described herein, and therefore the present invention is not limited to the specific embodiments disclosed below.
The embodiment provides a method for evaluating a marine organic carbon degradation process based on a continuous distribution function, as shown in fig. 1, comprising the following steps:
step A, constructing a continuous organic matter degradation model based on lognormal distribution by taking porosity change into consideration:
a1, describing the activity distribution of organic matters in the sediment through lognormal distribution, and constructing a continuous organic matter degradation model based on lognormal distribution by combining a decay equation;
the activity distribution of the organic matters is described through a continuous distribution function in the continuous organic matter degradation model, and the continuous organic matter degradation model is established according to a decay equation:
the decay equation is as follows:
（1）
the continuous organic matter degradation model is as follows:
（2）
wherein g (k, 0) is a distribution function of the organic matter activity at the sediment-seawater interface, and g (k, 0) is a lognormal distribution and is expressed as follows:
（3）
where lnμ is the average value of lnk, σ 2 Is the variance of ln k, μ represents the overall size of the organic matter activity (i.e., the higher the organic matter activity, the greater the μ value), σ represents the range of organic matter activity, and is related to how much of the organic matter component (i.e., the more components make up the organic matter, the greater σ). Substituting the formula (3) into the formula (2) can obtain a continuous organic matter degradation model based on lognormal distribution, and the continuous organic matter degradation model is as follows:
（4）
the time term of the formula (4) is integrated to obtain the net degradation rate of the organic matter, as follows,
（5）
step A2, taking the characteristic that the porosity in the sediment becomes lower along with the depth into consideration, establishing a corresponding relation between the depth in the sediment and time, and perfecting a continuous organic matter degradation model based on lognormal distribution constructed in the step A1;
the porosity of the top layer deposit is typically higher than in the bottom layer deposit, thus resulting in a time term in equation (4) that varies with depth that is not a simple linear relationship, and the pore water in the deposit is typically expressed as follows:
（6）
in phi f And phi 0 Respectively, the porosity of the sediment in the sediment of the bottom layer and at the sediment-seawater interface, lambda is the decay coefficient, describing the process of the porosity change from the surface layer to the bottom layer. The time term versus depth in equation (4) can be expressed as:
（7）
the simplification is as follows:
（8）
where x represents the depth position. Substituting the formula (8) into the formula (4) in the step A1, namely constructing a continuous organic matter degradation model based on lognormal distribution taking the porosity change into consideration.
And step B, considering the influence of the sediment compaction process on organic matter degradation:
step B1, under the influence of gravity, compacting the sediment newly settled on the upper layer to the sediment on the lower layer, and establishing an equilibrium mode of organic matter degradation and burial under the compacting effect;
under steady state conditions, the compaction of the upper layer deposit against the lower layer deposit can be written as:
（9）
namely:
（10）
in phi f And w f The porosity and the sedimentation rate of the solid particles in the underlying sediment are shown, respectively, and phi (x) and w (x) are the pore water and the sedimentation rate of the sediment at depth x. Equation (10) is the conservation equation of sediment porosity and sedimentation rate under the action of compaction.
Step B2, establishing an organic matter degradation model considering compaction based on the organic matter degradation buried balance mode constructed in the step B1;
considering compaction, the conservation of substance equation for degradation of organic matter in a deposit can be written as:
（11）
wherein C is OM Represents the content of organic matters, w f Represents the sedimentation rate of the underlying sediment, R OM The degradation rate of the organic matter is shown as a formula (5).
Step C, considering the influence of the sediment biological disturbance process on the organic matter degradation process, and establishing an organic matter degradation process model in a complex sedimentation environment;
(1) Organic matters in the surface sediment are used as important food sources of benthonic organisms, and an organic matter degradation mode under the consideration of biological disturbance factors is constructed;
in addition to compaction, biological disturbances caused by microorganisms or animal foraging in the surface deposits are also important factors affecting the degradation of organic matter. Thus, when the biological perturbation effect is considered in equation (11), the conservation equation of the substance can be written as:
（12）
wherein C is OM (x, t) is the organic content, φ is the porosity of the deposit, x is the depth, t is the time, R OM Represents the degradation efficiency of organic matters, w is the burial rate, D b And (5) a biological disturbance coefficient. The biological disturbance coefficient is related to the water depth in the region, and the research shows that the biological disturbance coefficient and the water depth satisfy the following empirical formula:
（13）
wherein Z represents the water depth (m).
(2) Combining a lognormal distribution continuous organic matter degradation mode, an organic matter degradation numerical model considering compaction effect and biological disturbance factors, comprehensively establishing an organic matter degradation model in sediment, and giving out a solving scheme;
substituting the formula (13) into the formula (12) to obtain the continuous organic matter degradation model based on lognormal distribution and considering compaction effect and biological disturbance factors. Considering R in formula (12) OM The term is an integral term, thus R is required OM And performing discrete summation processing. The specific method comprises the following steps:
the activity of the organic matter is described by a lognormal distribution, so the scheme disperses the lognormal distribution into 1000 independent small components, wherein the activity of the organic matter is distributed from 10 -10 yr -1 –10 4 yr -1 The uniform division, i.e., the rewrite of formula (12), is performed:
（14）
according to formula (3), ri OM can be written as follows:
（15）
wherein k is i The component (i) representing the activity i has a value of 10 -10 yr -1 –10 4 yr -1 ），f i For the corresponding percentage of active organic matter in the total, then:
（16）
according to the basic principle of statistics, the total area covered under the continuous distribution function is always 1. Based on this, when 1<i<At 1000, each f i Can be expressed as:
（17）
wherein ρ is i Represents the abscissa k in the lognormal distribution i Corresponding ordinate values. When i=1 and i=1000, i.e. k 1 =10 -10 yr -1 And k 1000 =10 4 yr -1 ，f 1 =f 1000 = (1-0.9999983)/2. Substituting the formula (17) into the formula (15) to solve the degradation process of organic matters in the complex sedimentation environment.
The present invention is not limited to the above-mentioned embodiments, and any equivalent embodiments which can be changed or modified by the technical content disclosed above can be applied to other fields, but any simple modification, equivalent changes and modification made to the above-mentioned embodiments according to the technical substance of the present invention without departing from the technical content of the present invention still belong to the protection scope of the technical solution of the present invention.
Claims (5)
1. The marine organic carbon degradation process evaluation method based on the continuous distribution function is characterized by comprising the following steps of:
step A, constructing a continuous organic matter degradation model based on lognormal distribution by taking porosity change into consideration:
step B, establishing an organic matter degradation and burial balance mode under the compaction effect, and establishing an organic matter degradation numerical model considering the sediment compaction process based on the organic matter degradation and burial balance mode;
and C, considering the influence of the sediment biological disturbance process on the organic matter degradation process, constructing an organic matter degradation mode under the consideration of biological disturbance factors, and establishing an organic matter degradation process model in a complex sedimentation environment to evaluate the organic carbon degradation process.
2. The method for evaluating the marine organic carbon degradation process based on the continuous distribution function according to claim 1, wherein: the step A specifically comprises the following steps:
(1) Constructing a continuous organic matter degradation model based on lognormal distribution:
，
wherein G (t) represents the change of organic matter content with time, G (0) represents the content of organic matter at a sediment-seawater interface, k represents the activity of the organic matter, t represents time, sigma represents the activity range of the organic matter, lnmu is the average value of lnk, sigma 2 Is the variance of ln k, μ represents the overall size of the organic matter activity;
(2) The constructed continuous organic matter degradation model is perfected by considering the characteristic that the porosity in the sediment becomes lower with the depth, and the relation between the time term and the depth in the above formula is expressed as:
，
wherein phi is f Indicating the porosity of the underlying deposit,is the porosity of the deposit, w is the burial rate,>indicating the sedimentation rate of the solid particles, x indicating the depth position;
the simplification is as follows:，
substituting the simplified relation between the time item and the depth into the model in the step (1), namely constructing a continuous organic matter degradation model based on lognormal distribution by taking the porosity change into consideration.
3. The method for evaluating the marine organic carbon degradation process based on the continuous distribution function according to claim 2, wherein: in the step B, the compaction effect of the upper layer sediment on the lower layer sediment is expressed as follows:
，
wherein phi is f And w f Representing the porosity and the sedimentation rate of the solid particles in the underlying sediment, respectively, phi (x) and w (x) representing the pore water and sedimentation rate of the sediment at depth x;
considering compaction, the conservation of substance equation in the degradation of organic matter in the sediment is:
，
wherein C is OM Represents the content of organic matters, w f Represents the sedimentation rate of the underlying sediment, R OM Indicating the degradation rate of the organic matter.
4. A method for evaluating a marine organic carbon degradation process based on a continuous distribution function according to claim 3, wherein: in the step C, the biological disturbance effect is added to the conservation equation of matter when the degradation of the organic matter by compaction is considered, and the conservation equation of matter is expressed as:
，
wherein C is OM (x, t) is the organic content, φ is the porosity of the deposit, x is the depth, t is the time, R OM Represents the degradation efficiency of organic matters, w is the burial rate, D b The biological disturbance coefficient is related to the depth of water in the region and meets the following requirementsZ represents the water depth.
5. The method for evaluating the marine organic carbon degradation process based on the continuous distribution function according to claim 4, wherein: in the step C, a step of, in the step C,
，
taking into account R OM The term being an integral term, in which case R is required OM Discrete summation processing is performed, specifically as follows:
(1) The activity of the organic matter is described by lognormal distribution, which is discretized into 1000 independent small components, wherein the activity of the organic matter is distributed from 10 -10 yr -1 –10 4 yr -1 Uniformly dividing, and rewriting a conservation equation of substances added with the influence of biological disturbance into:
，
wherein Ri OM represents the degradation rate of each active ingredient organic matter, expressed as follows:
，
wherein k is i The component representing activity i has a range of values: 10 -10 yr -1 –10 4 yr -1 ，f i The corresponding active organic matters account for the total percentage;
(2) According to the basic principle of statistics, the total area covered under the continuous distribution function is constant at 1, based on which, when 1<i<At 1000, each f i Expressed as:
，
wherein ρ is i Represents the abscissa k in the lognormal distribution i Corresponding ordinate values, when i=1 and i=1000, i.e. k 1 =10 -10 yr -1 And k 1000 =10 4 yr -1 ，f 1 =f 1000 = (1-0.9999983)/2, and further, by solving Ri OM, quantitative calculation and analysis of the marine organic carbon degradation process based on lognormal distribution are achieved.
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