Method for evaluating an pretreatment effect for organic solid waste based on fractal dimension

Abstract

Provided is a method for evaluating a pretreatment effect for organic solid waste based on fractal dimension, relating to biological conversion of organic solid waste. Samples of the organic solid waste are collected, and dried and broken up to obtain dried samples. The mixtures obtained are analyzed using a laser particle size analyzer, so as to measure a wave vector Q and a scattering intensity I of each of the mixtures. According to a fractal theory, the wave vector Q and the scattering intensity I obtained are analyzed using a data processing software to obtain a two-dimensional fractal dimension D.sub.f of each of the samples. Based on data from documents and experiments, a total organic carbon or an apparent activated energy is evaluated, so as to evaluate the pretreatment effects of samples of the organic solid waste.

Claims

1. A method for evaluating a pretreatment effect for organic solid waste based on fractal dimension, comprising: 1) collecting samples of the organic solid waste, and drying and breaking up the samples to obtain dried samples; 2) adding water into the dried samples obtained in step (1) followed by stirring to obtain mixtures, respectively; 3) analyzing the mixtures obtained in step (2) using a laser particle size analyzer, so as to measure a wave vector Q and a scattering intensity I of each of the mixtures; 4) according to a fractal theory, analyzing the wave vector Q and the scattering intensity I obtained in step (3) using a data processing software; and obtaining a two-dimensional fractal dimension D.sub.f of each of the samples according to a formula I∝Q.sup.−D.sup.f; 5) constructing a calculation model of the D.sub.f and a total organic carbon (TOC.sub.max) or an apparent activated energy (AAE) using linear regression; and 6) plugging the D.sub.f of each of the samples into the calculation model obtained in step (5) to obtain the TOC.sub.max or the AAE of each of the samples, so as to evaluate the pretreatment effects for samples of the organic solid waste; wherein in step (4), the formula I∝Q.sup.−D.sup.f is an equation I=k.Math.Q.sup.−D.sup.f, wherein k is a slope; both sides of the equation take natural logarithm to obtain: ln I=ln(k.Math.Q.sup.−D.sup.f); then the equation is simplified as: ln I=−D.sub.f ln Q+ln k; the I and the Q obtained in step (3) take the natural logarithm to obtain ln I and ln Q which are taken as a dependent variable and an independent variable of the equation, respectively, and the ln I and the ln Q are inputted into the data processing software to determine the D.sub.f of each of the samples using stochastic gradient descent; in step 5, the calculation model of the D.sub.f and the TOC.sub.max or AAE of each of the samples is:
Y=A−BX; wherein X is the fractal dimension D.sub.f, Y is the TOC.sub.max or the AAE of each of the samples; A and B are coefficients of the calculation model of the TOC.sub.max or AAE; and in step 6, the TOC.sub.max is a maximum dissolution value of total organic carbon of each of the samples in an aqueous phase.

2. The method of claim 1, wherein in step 1, the samples are samples which are pretreated.

3. The method of claim 2, wherein in step 1, the samples are samples with different sizes or samples pretreated by different methods.

4. The method of claim 3, wherein the samples are broken up as particle sizes ranging from 0.01 to 3500 microns.

5. The method of claim 1, wherein in step 2, each of the dried samples is diluted with pure water in a container to obtain a mixture with a solid content of less than 5%; the mixture is stirred by an external magnetic stirrer having a magnetic stirring bar; and the container and the magnetic stirring bar are cleaned and dried before use.

6. The method of claim 1, wherein in step (3), a light source of the laser particle size analyzer is a helium-neon laser emitting at 633 nm; a refractive index of a dispersant is 1.330; an absorption rate of particles in the dispersant is 0.100; a density of the dispersant is greater than 1; the dispersant is water; time for a background measurement is 10 s; time for measuring the mixture is 10-12 s; time for measuring the mixture with uneven dispersion is 10-20 s; the mixture is measured 3 times; during a measurement, a shading range of the mixture containing particles having a diameter of tens of microns is 10-20%; a shading range of the mixture containing particles having a diameter of a few microns is 6-10%; a shading range of the mixture containing particles have a diameter of hundreds of nanometers is 4-6%; a stirring speed is 2000-3000 r/min; and after the mixture is measured, a cleaning system of the laser particle size analyzer is operated.

7. The method of claim 6, wherein the time for measuring the mixture with uneven disperse is set to 10-20 s, and the shading range thereof is 10-20%.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) Advantages and features of the present disclosure will be obvious from the following description in conjunction with the embodiments. It is apparent that the drawings in the following description are only some embodiments of the present disclosure. For those of ordinary skill in the art, other drawings can be obtained without creative efforts.

(2) FIG. 1 shows fitting curves for evaluating pretreatment effects for rice straws with different sizes based on fractal dimension according to an embodiment of the present disclosure.

(3) FIG. 2 shows fitting curves for evaluating pretreatment effects of rice straws pretreated by different methods according to an embodiment of the present disclosure.

DETAILED DESCRIPTION OF EMBODIMENTS

(4) The exemplary embodiments of the present application are described in detail below, which are only illustrative and are not intended to limit the scope of the application.

(5) It should be understood that the terms of the application are only used to describe specific embodiments, and are not intended to limit the scope of the application. In addition, the numerical range of the application also specifically should be understood as including each intermediate value between the upper limit and the lower limit of the range. Each smaller range between any stated value and any other stated values or between an intermediate value and any other intermediates value within the stated range is also included in the present application. The upper and lower limits of these smaller ranges can be independently included or excluded from the range.

(6) Unless otherwise mentioned, all technologies and scientific terms used herein have the same meanings as that understood by those of ordinary skill in the art. Based on the preferred methods and materials of the present application, any similar or equivalent methods and materials can also be used in the practice or testing of the present application. All documents mentioned in the description are incorporated by reference to disclose and describe methods and/or materials related to the documents.

(7) In case of conflict with any incorporated document, the contents of this description shall prevail.

(8) It is obvious for those skilled in the art to make any improvement and change within the spirit and principle of this application and other embodiments based on the description of the present application. The description and embodiments of the application are only exemplary.

Embodiment 1

(9) A method for evaluating a pretreatment effect for organic solid waste based on fractal dimension includes the following steps.

(10) 1) A sample of the organic solid waste was collected, and was fully dried and broken up to 0.05-3 mm to obtain a dried sample.

(11) 2) The dried sample obtained in step (1) was diluted with pure water in a container to obtain a mixture with a solid content less than 5%, and the mixture was fully stirred by an external magnetic stirrer having a magnetic stirring bar. The container and the magnetic stirring bar were cleaned and dried before use.

(12) 3) The mixture obtained in step (2) was analyzed using a laser particle size analyzer, so as to measure a wave vector Q and a scattering intensity I of the mixture. A light source of the laser particle size analyzer was a helium-neon laser emitting at 633 nm. A refractive index of a dispersant was 1.330. An absorption rate of particles in the dispersant was 0.100. A density of the dispersant was greater than 1. The dispersant was water. Time for a background measurement was 10 s. Time for measuring the mixture was 10-12 s. Time for measuring the mixture with uneven dispersion was 10-20 s. Each mixture was measured 3 times. During a measurement, a shading range of a mixture containing particles having a diameter of tens of microns was 10-20%; a shading range of a mixture containing particles having a diameter of a few microns was 6-10%; a shading range of a mixture containing particles have a diameter of hundreds of nanometers was 4-6%; and a shading range of a mixture with uneven dispersion was 10-20%. A stirring speed was 2000-3000 r/min. After each mixture was measured, a cleaning system of the laser particle size analyzer is operated before the following measurement.

(13) 4) Based on fractal theory, the wave vector Q and the scattering light intensity I obtained in step (3) were analyzed using a data processing software. According to the formula I∝Q.sup.−D.sup.f, an equation I=k.Math.Q.sup.−D.sup.f was obtained, where k was a slope. Both sides of the equation took the natural logarithm to obtain: ln I=ln(k.Math.Q.sup.−D.sup.f), and then the equation was simplified as: ln I=−D.sub.f ln Q+ln k. The I and Q obtained in step (3) took the natural logarithm to obtain ln I and ln Q which were taken as a dependent variable and an independent variable, respectively, and the fractal dimension D.sub.f of the sample was obtained using linear fitting.

(14) 5) According to data from documents and experiments, the fractal dimensions D.sub.f of different kinds of straws, and corresponding TOC.sub.max and AAE were obtained, and then were input into a data processing software to carry out the linear fitting to establish a model:
Y=A−BX,

(15) where X was the fractal dimension D.sub.f; Y was TOC.sub.max or AAE of the sample; and A and B were coefficients of the model corresponding to the TOC.sub.max or the AAE.

(16) 6) The fractal dimension D.sub.f of each kind of straw was plugged into the model established in step (5), and the TOC.sub.max and the AAE thereof were calculated.

(17) Specifically, the organic solid waste includes but is not limited to straws. Further, the straws can be rice straws.

(18) The AAE can be calculated by a deformation of Arrhenius equation:

(19) $k_{\mathrm{dissolution}}=A_0.Math.e^{-\frac{AAE}{RT}}$

(20) where k.sub.dissolution is a rate constant of dissolution of organic matter, min.sup.−1; A.sub.0 is a pre-exponential factor; R is a molar gas constant, J/mol.Math.K; T is a thermodynamic temperature, K; and AAE is an apparent activated energy of dissolution of organic matter, kJ/mol.

(21) The particle diameters of the broken rice straws, corresponding predicted D.sub.f, TOC.sub.max and AAE are shown in Table 1.

(22) TABLE-US-00001 TABLE 1 Size (mm) D.sub.f TOC.sub.max AAE 3 1.8712 475.6 31.1572 1 1.8151 590.4 27.3970 0.9 1.7282 600.7 27.1265 0.7 1.7042 637.9 26.8463 0.6 1.6968 654.1 26.6742 0.5 1.6928 710.6 26.5651 0.2 1.6805 921.6 26.1108 0.1 1.6792 958.4 25.7248 0.05 1.6538 972.4 25.5362

(23) FIG. 1 shows fitting curves for evaluating pretreatment effects for rice straws with different sizes based on fractal dimension.

Embodiment 2

(24) A method for evaluating a pretreatment effect for organic solid waste based on fractal dimension includes the following steps.

(25) 1) A sample of organic solid waste was collected, and was fully dried and broken up to 2.8 mm to obtain a dried sample.

(26) 2) The dried sample obtained in step (1) was diluted with pure water in a container to obtain a mixture with a solid content less than 5%, and the mixture was fully stirred by an external magnetic stirrer having a magnetic stirring bar. The container and the magnetic stirring bar were cleaned and dried before use.

(27) 3) The mixture obtained in step (2) was analyzed using a laser particle size analyzer, so as to measure a wave vector Q and a scattering intensity I of the mixture.

(28) A light source of the laser particle size analyzer was a helium-neon laser emitting at 633 nm. A refractive index of a dispersant was 1.330. An absorption rate of particles in the dispersant was 0.100. A density of the dispersant was greater than 1. The dispersant was water. Time for a background measurement was 10 s. Time for measuring the mixture was 10-12 s. Time for measuring the mixture with uneven dispersion was 10-20 s. Each mixture was measured 3 times. During a measurement, a shading range of a mixture containing particles having a diameter of tens of microns was 10-20%; a shading range of a mixture containing particles having a diameter of a few microns was 6-10%; a shading range of a mixture containing particles have a diameter of hundreds of nanometers was 4-6%; and a shading range of a mixture with uneven dispersion was 10-20%. A stirring speed was 2000-3000 r/min. After each mixture was measured, a cleaning system of the laser particle size analyzer is operated before the following measurement.

(29) 4) Based on fractal theory, the wave vector Q and the scattering light intensity I obtained in step (3) were analyzed using a data processing software. According to the formula I∝Q.sup.−D.sup.f, an equation I=k.Math.Q.sup.−D.sup.f was obtained, where k was a slope. Both sides of the equation took the natural logarithm to obtain: ln I=ln(k.Math.Q.sup.−D.sup.f), and then the equation was simplified as: ln I=−D.sub.f ln Q+ln k. The I and the Q obtained in step (3) took the natural logarithm to obtain ln I and ln Q which were taken as a dependent variable and an independent variable, respectively, and the ln I and the ln Q are inputted into the data processing software to determine the fractal dimension D.sub.f of the sample using stochastic gradient descent.

(30) 5) According to data from documents and experiments, the D.sub.f of different kinds of straws, and corresponding TOC.sub.max and AAE were obtained, and then were inputted into the data processing software to carry out the linear fitting to establish a model:
Y=A−BX,

(31) where X was the D.sub.f of the sample; Y was TOC.sub.max or AAE of the sample; and A and B were coefficients of the model corresponding to the TOC.sub.max or the AAE.

(32) 6) The fractal dimension D.sub.f of each kind of straw was plugged into the model established in step (5), and the TOC.sub.max and the AAE thereof were outputted by the model.

(33) Specifically, the organic solid waste includes but is not limited to straws. Further, the straws may be rice straws.

(34) The AAE can be calculated by a deformation of Arrhenius equation:

(35) $k_{dissolution}=A_0.Math.e^{-\frac{AAE}{RT}},$

(36) where k.sub.dissolution is a rate constant of dissolution of organic matter, min.sup.−1; A.sub.0 is a pre-exponential factor; R is a molar gas constant, J/mol.Math.K; T is a thermodynamic temperature, K; and AAE is an apparent activated energy of dissolution of organic matter, kJ/mol.

(37) The pretreatments in this embodiment are shown in Table 2. The pretreatments of the organic solid waste and corresponding predicted D.sub.f, TOC.sub.max and AAE are shown in Table 2.

(38) TABLE-US-00002 TABLE 2 Evaluated Evaluated Method D.sub.f TOC.sub.max AAE No pretreatment 1.9375 299.3063 31.5557 Hydrothermal 1.8908 392.6362 30.55968 pretreatment Hydrothermal 1.8016 570.9024 28.65722 pretreatment + potassium hydroxide Hydrothermal 1.7406 692.8109 27.35622 pretreatment + potassium hydroxide + sodium sulfite Hydrothermal 1.8065 561.1098 28.76173 pretreatment + sodium sulfite Hydrothermal 1.8253 523.538 29.1627 pretreatment + acetic acid Hydrothermal 1.8194 535.3291 29.03686 pretreatment + formaldehyde Hydrothermal 1.7488 676.4232 27.53111 pretreatment + hydrochloric acid Hydrothermal 1.7831 607.8747 28.26266 pretreatment + ferrous chloride Hydrothermal 1.7839 606.2759 28.27972 pretreatment + tetrahydrofuran

(39) FIG. 2 shows fining curves for evaluating pretreatment effects of rice straws pretreated by different methods.

(40) The above are only preferred embodiments of this application, and are not intended to limit the scope of this application. Any modification, equivalent replacement and improvement made by those skilled in the art within the spirit and principle of this application shall fall within the protection scope of this application.