A METHOD FOR MATHEMATICAL CALCULATION OF COMPRESSIVE STRENGTH USING WASTE MATERIALS FOR SOIL STABILIZATION WITH MICROSTRUCTURAL ANALYSIS

Abstract

Disclosed herein is a method for mathematical calculation of compressive strength using waste materials for soil stabilization with microstructural analysis (100) comprises blending waste materials with soil in predetermined proportions (102) to improve the compressive strength properties of the soil; creating a mathematical model (104) to predict the compressive strength of the stabilized soil. The method includes performing a microstructural analysis of the stabilized soil matrix (106) using techniques to assess and quantify bonding characteristics, particle arrangement, and chemical transformations in the matrix. The method also includes integrating the empirical data from the microstructural analysis into the mathematical model (108) to refine and validate compressive strength predictions across various soil types and environmental conditions. The method also includes optimizing the proportion of waste materials in the soil mixture based on the refined compressive strength predictions (110) to achieve customized stabilization for specific geotechnical applications. The method also includes validating the compressive strength predictions of the mathematical model by cross-referencing with microstructural analysis findings (112), to ensure that the bonding mechanisms within the soil matrix support the predicted compressive strength outcomes.

Specification

Description:FIELD OF DISCLOSURE
[0001] The present disclosure relates generally relates to the field of civil engineering more specifically to methods and compositions used for soil stabilization in construction and infrastructure projects. More specifically, it pertains to a method for mathematical calculation of compressive strength using waste materials for soil stabilization with microstructural analysis.
BACKGROUND OF THE DISCLOSURE
[0002] Soil stabilization is a crucial component in construction and geotechnical engineering, as it enhances the load-bearing capacity and durability of soils used as a foundation for roads, buildings and other infrastructure.
[0003] Traditionally, this process has involved the addition of various stabilizing agents such as cement, lime or bitumen to the soil to improve its mechanical properties. These agents chemically interact with soil particles, resulting in a matrix that is more resistant to external pressures, climate variability and soil displacement under loads.
[0004] Despite their effectiveness, conventional stabilizers have environmental and economic drawbacks. Cement production, for instance is a major contributor to carbon dioxide emissions and the extraction and processing of lime can lead to environmental degradation.
[0005] An increasing global demand for sustainable construction practices has led researchers to explore alternative materials and methods for soil stabilization. One promising area is the use of waste materials as stabilizing agents.
[0006] Waste by-products from industrial, agricultural or domestic sources offer a dual advantage: they reduce the environmental burden of waste disposal and minimize the need for newly produced stabilizing agents.
[0007] Waste materials such as fly ash, rice husk ash, blast furnace slag, plastic waste and glass powder have shown potential in enhancing soil properties. These materials often possess pozzolanic properties or other qualities that can improve the compressive strength and stability of soil when mixed under appropriate conditions.
[0008] As a result, incorporating waste materials into soil stabilization practices aligns with sustainability goals, particularly those targeting the circular economy and reduction of greenhouse gas emissions.
[0009] However, using waste materials in soil stabilization comes with several challenges. Not all waste materials are equally effective and their performance can vary based on factors like chemical composition, particle size and reactivity.
[0010] Moreover, waste materials are often inconsistent in quality due to variations in source and production processes. Therefore, understanding the fundamental mechanisms by which these materials influence soil stabilization, including their interactions at the microstructural level is essential.
[0011] This is where microstructural analysis plays a critical role. Microstructural analysis techniques such as scanning electron microscopy (SEM), X-ray diffraction (XRD) and energy-dispersive X-ray spectroscopy (EDX), allow researchers to examine the bonding and particle arrangement within stabilized soils.
[0012] These insights help identify how waste-derived stabilizers contribute to enhanced compressive strength, reduced permeability and improved durability. A significant aspect of soil stabilization research involves predicting the compressive strength of soil after stabilization.
[0013] Compressive strength is a key indicator of the soil's load-bearing capacity and overall performance in construction. The ability to accurately estimate this property based on the composition and proportion of materials used can streamline the design and implementation of stabilized soils in construction projects.
[0014] Traditional methods of testing compressive strength are often time-consuming and require laboratory testing, which may not always be feasible, especially for large-scale or remote projects.
[0015] To address this challenge, mathematical modeling has emerged as a valuable tool in predicting the compressive strength of stabilized soils. Models can incorporate variables such as soil type, stabilizer type, particle size distribution, moisture content and curing time, allowing for the calculation of compressive strength without extensive physical testing.
[0016] Mathematical models developed for this purpose often draw on principles from mechanics, materials science and statistical analysis. They may include empirical models based on laboratory data or more complex predictive models that simulate the behavior of stabilized soil under various conditions.
[0017] Some common approaches include regression models, artificial neural networks (ANNs) and finite element methods (FEMs), each with its strengths in addressing specific soil stabilization scenarios.
[0018] These models not only reduce the time and resources needed for experimentation but also enable engineers to optimize stabilizer compositions and application methods to achieve desired strength outcomes.
[0019] Integrating waste materials into these models requires an understanding of their distinct properties and how they interact with soil at different scales. For instance, fly ash a by-product of coal combustion has pozzolanic characteristics, meaning it can react with water and calcium hydroxide to form cementitious compounds that bind soil particles together.
[0020] Rice husk ash, on the other hand is rich in silica and can enhance soil strength through similar pozzolanic reactions. Blast furnace slag contains calcium, silicon and aluminium oxides, which contribute to the formation of hydration products that strengthen soil.
[0021] The effectiveness of these waste materials also depends on factors such as the particle size and specific surface area, which influence the rate and extent of chemical reactions within the soil matrix. Microstructural analysis is essential for understanding these complex interactions at the microscopic level.
[0022] By examining the microstructure of stabilized soil, researchers can observe how particles of waste material bond with soil particles, the formation of cementitious compounds and changes in pore structure.
[0023] For example, SEM can reveal the morphology of soil and stabilizer particles, highlighting features such as roughness, angularity and bonding points. XRD can identify crystalline phases within the stabilized soil, offering insights into the chemical transformations that occur during stabilization.
[0024] EDX analysis provides elemental composition data, allowing researchers to confirm the presence of stabilizing elements like calcium, silicon and aluminium. These analyses provide a detailed understanding of the mechanisms by which waste materials enhance soil stability and compressive strength, ultimately informing the design of more effective soil stabilization techniques.
[0025] The integration of mathematical models with microstructural analysis represents an innovative approach to soil stabilization. By combining predictive modeling with empirical data from microstructural studies, researchers can develop more accurate models that account for the unique properties of waste-derived stabilizers.
[0026] This approach enables the customization of stabilizer blends for specific soil types and construction requirements, maximizing the effectiveness of waste materials in soil stabilization.
[0027] Furthermore, mathematical models informed by microstructural analysis can assist in identifying optimal curing times and conditions, which are critical for achieving the desired compressive strength and durability in stabilized soil.
[0028] In summary, the use of waste materials for soil stabilization represents a sustainable and economically viable alternative to traditional stabilizing agents. Waste-derived stabilizers reduce environmental impacts, lower construction costs and support the principles of the circular economy.
[0029] However, achieving reliable and consistent performance with these materials requires a comprehensive understanding of their behavior at both macroscopic and microscopic levels.
[0030] Mathematical models, in conjunction with microstructural analysis, provide a robust framework for predicting the compressive strength of stabilized soils, allowing engineers to make informed decisions in the design and application of soil stabilizers.
[0031] This approach not only enhances the performance of soil in construction projects but also contributes to broader environmental and sustainability goals in the construction industry.
[0032] The application of mathematical calculations in determining the compressive strength of soil stabilized with waste materials addresses key challenges in sustainable construction and geotechnical engineering.
[0033] By incorporating waste by-products like fly ash, rice husk ash and blast furnace slag as stabilizers, this approach not only reduces environmental impact but also utilizes locally available materials, reducing costs and dependency on traditional stabilizers like cement and lime.
[0034] The scope of this research extends to infrastructure projects where stable, load-bearing soils are essential such as in road construction, foundation stabilization and embankment reinforcement.
[0035] Mathematical models, informed by microstructural analysis, enable the prediction of compressive strength based on soil composition, stabilizer properties, curing conditions and other variables, thereby minimizing the need for exhaustive physical testing.
[0036] This method provides engineers with a reliable, efficient and adaptable tool to design soil stabilization solutions tailored to specific environmental and project requirements.
[0037] Moreover, this approach aligns with sustainable construction practices and contributes to waste management goals by repurposing industrial by-products.
[0038] Ultimately, it offers a scalable solution for enhancing soil properties in diverse geotechnical applications, particularly in regions with limited resources for traditional construction materials.
[0039] Thus, in light of the above-stated discussion, there exists a need for a method for mathematical calculation of compressive strength using waste materials for soil stabilization with microstructural analysis.
SUMMARY OF THE DISCLOSURE
[0040] The following is a summary description of illustrative embodiments of the invention. It is provided as a preface to assist those skilled in the art to more rapidly assimilate the detailed design discussion which ensues and is not intended in any way to limit the scope of the claims which are appended hereto in order to particularly point out the invention.
[0041] According to illustrative embodiments, the present disclosure focuses on a method for mathematical calculation of compressive strength using waste materials for soil stabilization with microstructural analysis which overcomes the above-mentioned disadvantages or provide the users with a useful or commercial choice.
[0042] An objective of the present disclosure is to develop a sustainable soil stabilization method that utilizes waste materials, reducing dependency on traditional stabilizers like cement and lime, thereby lowering carbon emissions and resource depletion.
[0043] Another objective of the present disclosure is to mathematically model the compressive strength of soil treated with waste-derived stabilizers, incorporating variables such as soil type, waste composition, particle size, moisture content, and curing time.
[0044] Another objective of the present disclosure is to analyze the pozzolanic properties of waste materials (e.g., fly ash, rice husk ash, blast furnace slag) and their reactivity with soil to enhance compressive strength and stability.
[0045] Another objective of the present disclosure is to employ microstructural analysis techniques such as scanning electron microscopy (SEM) and X-ray diffraction (XRD) to examine the bonding and particle arrangements within stabilized soil.
[0046] Another objective of the present disclosure is to reduce the need for extensive laboratory testing by creating predictive models that estimate compressive strength based on input variables, saving time and resources.
[0047] Another objective of the present disclosure is to tailor soil stabilization solutions to specific construction requirements, offering customizable strength parameters that can adapt to various soil types and environmental conditions.
[0048] Another objective of the present disclosure is to explore the environmental and economic benefits of waste-based soil stabilization as an eco-friendly alternative, making soil stabilization more viable and accessible across different geotechnical applications.
[0049] Another objective of the present disclosure is to understand the microstructural interactions at the particle level that contribute to improved soil cohesion and compressive strength through detailed microscopic analysis.
[0050] Another objective of the present disclosure is to enable scalable applications of the method for construction projects such as road foundations, embankment reinforcement, and other geotechnical structures.
[0051] Yet another objective of the present disclosure is to advance eco-friendly soil stabilization technology by providing a resource-efficient, sustainable method that enhances soil performance while minimizing environmental impact.
[0052] In light of the above, a method for mathematical calculation of compressive strength using waste materials for soil stabilization with microstructural analysis comprises blending waste materials with soil in predetermined proportions to improve the compressive strength properties of the soil. The method includes creating a mathematical model to predict the compressive strength of the stabilized soil. The method also includes performing a microstructural analysis of the stabilized soil matrix using techniques to assess and quantify bonding characteristics, particle arrangement, and chemical transformations in the matrix. The method also includes integrating the empirical data from the microstructural analysis into the mathematical model to refine and validate compressive strength predictions across various soil types and environmental conditions. The method also includes optimizing the proportion of waste materials in the soil mixture based on the refined compressive strength predictions to achieve customized stabilization for specific geotechnical applications. The method also includes validating the compressive strength predictions of the mathematical model by cross-referencing with microstructural analysis findings, to ensure that the bonding mechanisms within the soil matrix support the predicted compressive strength outcomes.
[0053] In one embodiment, the predetermined proportions of waste materials blended with the soil include specific ratios of fly ash, rice husk ash, and blast furnace slag, optimized to enhance compressive strength for soil stabilization.
[0054] In one embodiment, the mathematical model to predict compressive strength incorporates variables including soil type, waste material composition, particle size distribution, moisture content, and curing duration to ensure accurate strength prediction across diverse soil compositions.
[0055] In one embodiment, the mathematical model further considers additional environmental variables, including ambient temperature and humidity, to improve the accuracy of compressive strength predictions.
[0056] In one embodiment, the microstructural analysis is performed using Scanning Electron Microscopy (SEM), X-ray Diffraction (XRD), and Energy Dispersive X-ray Spectroscopy (EDX) to evaluate bonding characteristics, particle arrangement, and chemical transformations within the stabilized soil matrix.
[0057] In one embodiment, the integration of microstructural analysis data into the mathematical model enables real-time adjustment of compressive strength predictions to account for changes in soil or waste material properties.
[0058] In one embodiment, the empirical data from microstructural analysis is integrated into the mathematical model to improve the model's accuracy in predicting compressive strength across different environmental conditions and soil types.
[0059] In one embodiment, the optimization of waste material proportions is achieved by iteratively adjusting the blend ratios within the soil mixture to achieve compressive strength outcomes tailored for specific construction and geotechnical applications, such as road foundations and embankments.
[0060] In one embodiment, the validation process includes comparing predicted compressive strength values with observed bonding mechanisms in the soil matrix, as determined by microstructural analysis, to ensure accurate correlation with actual strength measurements.
[0061] In one embodiment, the validation of compressive strength predictions is conducted by comparing model outputs with laboratory-tested compressive strength results of soil samples stabilized with similar waste material compositions.
[0062] These and other advantages will be apparent from the present application of the embodiments described herein.
[0063] The preceding is a simplified summary to provide an understanding of some embodiments of the present invention. This summary is neither an extensive nor exhaustive overview of the present invention and its various embodiments. The summary presents selected concepts of the embodiments of the present invention in a simplified form as an introduction to the more detailed description presented below. As will be appreciated, other embodiments of the present invention are possible utilizing, alone or in combination, one or more of the features set forth above or described in detail below.
[0064] These elements, together with the other aspects of the present disclosure and various features are pointed out with particularity in the claims annexed hereto and form a part of the present disclosure. For a better understanding of the present disclosure, its operating advantages, and the specified object attained by its uses, reference should be made to the accompanying drawings and descriptive matter in which there are illustrated exemplary embodiments of the present disclosure.
BRIEF DESCRIPTION OF THE DRAWINGS
[0065] To describe the technical solutions in the embodiments of the present disclosure or in the prior art more clearly, the following briefly describes the accompanying drawings required for describing the embodiments or the prior art. Apparently, the accompanying drawings in the following description merely show some embodiments of the present disclosure, and a person of ordinary skill in the art can derive other implementations from these accompanying drawings without creative efforts. All of the embodiments or the implementations shall fall within the protection scope of the present disclosure.
[0066] The advantages and features of the present disclosure will become better understood with reference to the following detailed description taken in conjunction with the accompanying drawing, in which:
[0067] FIG. 1 illustrates a flowchart outlining sequential step involved in a method for mathematical calculation of compressive strength using waste materials for soil stabilization with microstructural analysis, in accordance with an exemplary embodiment of the present disclosure;
[0068] FIG. 2 illustrates a schematic overview of the process for calculating compressive strength in soil stabilization using waste materials, alongside microstructural analysis, in accordance with an exemplary embodiment of the present disclosure.
[0069] Like reference, numerals refer to like parts throughout the description of several views of the drawing.
[0070] The method for mathematical calculation of compressive strength using waste materials for soil stabilization with microstructural analysis, which like reference letters indicate corresponding parts in the various figures. It should be noted that the accompanying figure is intended to present illustrations of exemplary embodiments of the present disclosure. This figure is not intended to limit the scope of the present disclosure. It should also be noted that the accompanying figure is not necessarily drawn to scale.
DETAILED DESCRIPTION OF THE DISCLOSURE
[0071] The following is a detailed description of embodiments of the disclosure depicted in the accompanying drawings. The embodiments are in such detail as to communicate the disclosure. However, the amount of detail offered is not intended to limit the anticipated variations of embodiments; on the contrary, the intention is to cover all modifications, equivalents, and alternatives falling within the spirit and scope of the present disclosure.
[0072] In the following description, numerous specific details are set forth in order to provide a thorough understanding of the embodiments of the present disclosure. It may be apparent to one skilled in the art that embodiments of the present disclosure may be practiced without some of these specific details.
[0073] Various terms as used herein are shown below. To the extent a term is used, it should be given the broadest definition persons in the pertinent art have given that term as reflected in printed publications and issued patents at the time of filing.
[0074] The terms "a" and "an" herein do not denote a limitation of quantity, but rather denote the presence of at least one of the referenced items.
[0075] The terms "having", "comprising", "including", and variations thereof signify the presence of a component.
[0076] Referring now to FIG. 1 to FIG. 2 describe various exemplary embodiments of the present disclosure. FIG. 1 illustrates a flowchart outlining sequential step involved in a method for mathematical calculation of compressive strength using waste materials for soil stabilization with microstructural analysis, in accordance with an exemplary embodiment of the present disclosure.
[0077] A method for mathematical calculation of compressive strength using waste materials for soil stabilization with microstructural analysis 100 comprises blending waste materials with soil in predetermined proportions 102 to improve the compressive strength properties of the soil. The predetermined proportions of waste materials blended with the soil include specific ratios of fly ash, rice husk ash, and blast furnace slag, optimized to enhance compressive strength for soil stabilization 102.
[0078] The method includes creating a mathematical model 104 to predict the compressive strength of the stabilized soil. The mathematical model to predict compressive strength incorporates variables including soil type, waste material composition, particle size distribution, moisture content, and curing duration to ensure accurate strength prediction across diverse soil compositions 104. The mathematical model 104 further considers additional environmental variables, including ambient temperature and humidity, to improve the accuracy of compressive strength predictions.
[0079] The method also includes performing a microstructural analysis of the stabilized soil matrix 106 using techniques to assess and quantify bonding characteristics, particle arrangement, and chemical transformations in the matrix. The microstructural analysis is performed using Scanning Electron Microscopy (SEM), X-ray Diffraction (XRD), and Energy Dispersive X-ray Spectroscopy (EDX) to evaluate bonding characteristics, particle arrangement, and chemical transformations within the stabilized soil matrix 106. The integration of microstructural analysis data into the mathematical model 106 enables real-time adjustment of compressive strength predictions to account for changes in soil or waste material properties.
[0080] The method also includes integrating the empirical data from the microstructural analysis into the mathematical model 108 to refine and validate compressive strength predictions across various soil types and environmental conditions. The empirical data from microstructural analysis is integrated into the mathematical model to improve the model's accuracy in predicting compressive strength across different environmental conditions and soil types 108.
[0081] The method also includes optimizing the proportion of waste materials in the soil mixture based on the refined compressive strength predictions 110 to achieve customized stabilization for specific geotechnical applications. The optimization of waste material proportions is achieved by iteratively adjusting the blend ratios within the soil mixture to achieve compressive strength outcomes tailored for specific construction and geotechnical applications, such as road foundations and embankments 110.
[0082] The method also includes validating the compressive strength predictions of the mathematical model by cross-referencing with microstructural analysis findings 112, to ensure that the bonding mechanisms within the soil matrix support the predicted compressive strength outcomes. The validation process includes comparing predicted compressive strength values with observed bonding mechanisms in the soil matrix, as determined by microstructural analysis, to ensure accurate correlation with actual strength measurements 112. The validation of compressive strength predictions 112 is conducted by comparing model outputs with laboratory-tested compressive strength results of soil samples stabilized with similar waste material compositions.
[0083] FIG. 1 illustrates a flowchart outlining sequential step involved in a method for mathematical calculation of compressive strength using waste materials for soil stabilization with microstructural analysis.
[0084] At 102, the process for calculating the compressive strength of soil stabilized with waste materials through a structured method begins with the initial blending of waste materials, such as fly ash, rice husk ash, and blast furnace slag, with soil in specified proportions. This step is crucial, as the composition of these waste materials in the soil matrix significantly impacts the compressive strength properties. By choosing appropriate proportions, this stage enhances soil's structural integrity and suitability for construction purposes.
[0085] At 104, next, a mathematical model is created to predict the compressive strength of the stabilized soil. This model incorporates various influencing factors such as soil type, waste material composition, particle size, moisture content, and curing duration. These variables are key to the model's accuracy and reduce the need for extensive physical testing. The model serves as a preliminary predictive tool for estimating how stabilized soil will perform under load-bearing conditions, considering the properties of both the soil and the waste additives.
[0086] At 106, following model creation, a microstructural analysis of the stabilized soil matrix is performed. Techniques such as Scanning Electron Microscopy (SEM), X-ray Diffraction (XRD), and Energy Dispersive X-ray Spectroscopy (EDX) are employed to assess and quantify the structural characteristics within the matrix. This analysis allows for a deeper understanding of the bonding, particle distribution, and chemical interactions between soil and waste materials. By identifying and measuring these microstructural components, the analysis provides insights into the mechanisms that enhance or limit compressive strength.
[0087] At 108, the empirical data gathered from the microstructural analysis is then integrated back into the mathematical model. This step refines and validates the model's predictions across different soil types and environmental conditions, enhancing its reliability. The integration of microstructural insights ensures that the model accounts for real-world bonding and arrangement behaviors, which impact compressive strength. This fusion of empirical and theoretical data results in a robust model that reflects the material's performance under varied conditions.
[0088] At 110, with the refined model in place, the next step involves optimizing the proportions of waste materials in the soil blend based on the predictive model's outputs. This optimization is intended to meet specific compressive strength targets suitable for various geotechnical applications. By adjusting the ratios of waste additives, customized formulations can be developed to provide the desired strength and stability for particular infrastructure needs, such as road foundations or embankments.
[0089] At 112, finally, the compressive strength predictions are validated by cross-referencing the mathematical model's outputs with microstructural analysis findings. This step ensures that the bonding and particle arrangement mechanisms observed at the microstructural level are aligned with the predicted strength values. This validation process is essential to confirm that the stabilized soil matrix behaves as anticipated, reinforcing the model's reliability and accuracy for practical application in construction and geotechnical projects. Through these sequential steps, the method provides a systematic approach to soil stabilization, leveraging waste materials and advanced analytical techniques to achieve sustainable and resilient construction materials.
[0090] FIG. 2 illustrates a schematic overview of the process for calculating compressive strength in soil stabilization using waste materials, alongside microstructural analysis.
[0091] At 202, obtain representative soil samples from target sites, ensuring varied soil types to test the model's applicability across different conditions.
[0092] Collect waste materials such as fly ash, rice husk ash and blast furnace slag. Analyze these materials for chemical composition, particle size distribution and moisture content. Sieving may be conducted to obtain uniform particle sizes for consistency in mixing and reactivity.
[0093] Create various soil-waste mixtures with different proportions of waste materials (e.g. 5%, 10% and 15% by weight) to determine the optimal percentage for compressive strength.
[0094] At 204, prepare cylindrical soil specimens (e.g., 50 mm diameter, 100 mm height) by mixing soil with predetermined quantities of waste material. Add moisture content based on optimum moisture levels for compaction.
[0095] Compact the mixtures into molds using standard procedures such as the Proctor compaction method to achieve consistent density.
[0096] Cure samples under controlled conditions (e.g., 7, 14 and 28 days) to evaluate the influence of curing time on strength development.
[0097] At 206, after curing, test the samples for unconfined compressive strength (UCS) using a compression testing machine. Record peak loads and calculate compressive strength values for each sample.
[0098] Document all data, noting variations due to different waste material compositions and curing durations.
[0099] At 208, based on collected data, develop a mathematical model for predicting compressive strength using variables such as soil type, waste material composition, particle size, moisture content and curing time.
[0100] Apply regression analysis or machine learning techniques (e.g. multiple linear regression, artificial neural networks) to build predictive models.
[0101] Validate the model by comparing predicted values to actual compressive strength results, refining the model as needed for higher accuracy.
[0102] At 210, use Scanning Electron Microscopy (SEM) to observe the morphology and bonding characteristics within the stabilized soil matrix. This helps identify how waste particles interact with soil at the microscopic level. Conduct X-ray Diffraction (XRD) to identify crystalline phases and hydration products formed during stabilization, providing insight into the chemical reactions that contribute to increased strength. Perform Energy-Dispersive X-ray Spectroscopy (EDX) to analyze the elemental composition of stabilized soils, confirming the presence and distribution of critical elements like calcium, silicon and aluminium that promote bonding.
[0103] At 212, analyze microstructural data in conjunction with compressive strength test results to understand the interactions between waste materials and soil at both macroscopic and microscopic scales. Interpret how each waste material contributes to strength development, adjusting the mathematical model accordingly based on microstructural findings.
[0104] At 214, optimize waste material proportions based on compressive strength outcomes and sustainability considerations. Perform additional tests to validate the optimized model, ensuring it consistently predicts compressive strength with high accuracy across varying soil and material conditions.
[0105] This methodology provides a comprehensive framework for predicting compressive strength, achieving both sustainable soil stabilization and reliable performance through a blend of experimental testing, modeling and microstructural analysis.
[0106] While the invention has been described in connection with what is presently considered to be the most practical and various embodiments, it will be understood that the invention is not to be limited to the disclosed embodiments, but on the contrary, is intended to cover various modifications and equivalent arrangements included within the scope of the appended claims.
[0107] A person of ordinary skill in the art may be aware that, in combination with the examples described in the embodiments disclosed in this specification, units and algorithm steps may be implemented by electronic hardware, computer software, or a combination thereof.
[0108] The foregoing descriptions of specific embodiments of the present disclosure have been presented for purposes of illustration and description. They are not intended to be exhaustive or to limit the present disclosure to the precise forms disclosed, and many modifications and variations are possible in light of the above teaching. The embodiments were chosen and described to best explain the principles of the present disclosure and its practical application, and to thereby enable others skilled in the art to best utilize the present disclosure and various embodiments with various modifications as are suited to the particular use contemplated. It is understood that various omissions and substitutions of equivalents are contemplated as circumstances may suggest or render expedient, but such omissions and substitutions are intended to cover the application or implementation without departing from the scope of the present disclosure.
[0109] Disjunctive language such as the phrase "at least one of X, Y, Z," unless specifically stated otherwise, is otherwise understood with the context as used in general to present that an item, term, etc., may be either X, Y, or Z, or any combination thereof (e.g., X, Y, and/or Z). Thus, such disjunctive language is not generally intended to, and should not, imply that certain embodiments require at least one of X, at least one of Y, or at least one of Z to each be present.
[0110] In a case that no conflict occurs, the embodiments in the present disclosure and the features in the embodiments may be mutually combined. The foregoing descriptions are merely specific implementations of the present disclosure, but are not intended to limit the protection scope of the present disclosure. Any variation or replacement readily figured out by a person skilled in the art within the technical scope disclosed in the present disclosure shall fall within the protection scope of the present disclosure. Therefore, the protection scope of the present disclosure shall be subject to the protection scope of the claims.
, Claims:I/We Claim:
1. A method for mathematical calculation of compressive strength using waste materials for soil stabilization with microstructural analysis (100) comprising:
blending waste materials with soil in predetermined proportions (102) to improve the compressive strength properties of the soil;
creating a mathematical model (104) to predict the compressive strength of the stabilized soil;
performing a microstructural analysis of the stabilized soil matrix (106) using techniques to assess and quantify bonding characteristics, particle arrangement, and chemical transformations in the matrix;
integrating the empirical data from the microstructural analysis into the mathematical model (108) to refine and validate compressive strength predictions across various soil types and environmental conditions;
optimizing the proportion of waste materials in the soil mixture based on the refined compressive strength predictions (110) to achieve customized stabilization for specific geotechnical applications;
validating the compressive strength predictions of the mathematical model by cross-referencing with microstructural analysis findings (112), to ensure that the bonding mechanisms within the soil matrix support the predicted compressive strength outcomes.
2. The method (100) as claimed in claim 1, wherein the predetermined proportions of waste materials blended with the soil include specific ratios of fly ash, rice husk ash, and blast furnace slag, optimized to enhance compressive strength for soil stabilization (102).
3. The method (100) as claimed in claim 1, wherein the mathematical model to predict compressive strength incorporates variables including soil type, waste material composition, particle size distribution, moisture content, and curing duration to ensure accurate strength prediction across diverse soil compositions (104).
4. The method (100) as claimed in claim 1, wherein the mathematical model (104) further considers additional environmental variables, including ambient temperature and humidity, to improve the accuracy of compressive strength predictions.
5. The method (100) as claimed in claim 1, wherein the microstructural analysis is performed using Scanning Electron Microscopy (SEM), X-ray Diffraction (XRD), and Energy Dispersive X-ray Spectroscopy (EDX) to evaluate bonding characteristics, particle arrangement, and chemical transformations within the stabilized soil matrix (106).
6. The method (100) as claimed in claim 1, wherein the integration of microstructural analysis data into the mathematical model (106) enables real-time adjustment of compressive strength predictions to account for changes in soil or waste material properties.
7. The method (100) as claimed in claim 1, wherein the empirical data from microstructural analysis is integrated into the mathematical model to improve the model's accuracy in predicting compressive strength across different environmental conditions and soil types (108).
8. The method (100) as claimed in claim 1, wherein the optimization of waste material proportions is achieved by iteratively adjusting the blend ratios within the soil mixture to achieve compressive strength outcomes tailored for specific construction and geotechnical applications, such as road foundations and embankments (110).
9. The method (100) as claimed in claim 1, wherein the validation process includes comparing predicted compressive strength values with observed bonding mechanisms in the soil matrix, as determined by microstructural analysis, to ensure accurate correlation with actual strength measurements (112).
10. The method (100) as claimed in claim 1, wherein the validation of compressive strength predictions (112) is conducted by comparing model outputs with laboratory-tested compressive strength results of soil samples stabilized with similar waste material compositions.

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