کاربرد تئوری فرکتالی در کمّی‌سازی ساختمان برخی از راسته‌های خاک در استان فارس

نوع مقاله : مقالات پژوهشی

نویسندگان

• علی داد کرمی ¹
• روح اله زارع ²
• وحید اله جهاندیده مهجن آبادی ³

¹ استادیار بخش تحقیقات خاک و آب، مرکز تحقیقات و آموزش کشاورزی و منابع طبیعی فارس، سازمان تحق

² بخش خاکشناسی، دانشگاه آزاد اسلامی واحد علوم و تحقیقات فارس، شیراز، ایران

³ دانشگاه شیراز

https://doi.org/10.22067/jsw.v31i4.57888

چکیده

ساختمان خاک و پایداری آن با بسیاری از فرآیندهای کشاورزی و زیست‌محیطی در ارتباط است. از این رو توصیف و کمّی‌سازی ساختمان خاک از اهمیت ویژه‌ای برخوردار است. ولی ساختمان خاک بصورت کیفی (مکعبی، دانه‌ای و ...) بیان می‌شود. هدف از این تحقیق تعیین پایداری خاکدانه‌ها و استفاده از هندسۀ فرکتالی و تعیین بُعد فرکتالی ساختمان خاک در برخیازراسته‌هایخاکبود که نتیجه در مدل‌های کاربردی برای بیان فرآیندهای خاک و مدل‌سازی قابل استفاده خواهد بود. بنابراین از افق‌های مشخصۀ هفت راستۀ خاک شامل انتی‌سول، ورتی‌سول، اریدی‌سول، مالی‌سول، الفی‌سول، هیستو‌سول و اینسپتی‌سول در استان فارس نمونه‌برداری خاک (27 نمونه) انجام گردید. ویژگی‌های خاک شامل توزیع اندازة خاکدانه‌ها، بافت، درصد رطوبت اشباع، کربن آلی، EC، pH، گچ و آهک اندازه‌گیری و میانگین وزنی قطر خاکدانه‌ها (MWD) و میانگین هندسی قطر خاکدانه‌ها (GMD) و بُعد فرکتالی خاکدانه‌ها محاسبه شد. نتایج نشان داد که همبستگی معنی‌داری بین بُعد فرکتالی مدل‌های ریو و اسپوزیتو (DnR) و تیلر و ویت‌کرافت (DmT) با MWD و GMD با ویژگی‌های خاک وجود داشت. این همبستگی بین پارامترهای فرکتالی با ماده آلی، جرم مخصوص ظاهری، درصد رس و درصد شن، قوی‌تر از دیگر ویژگی‌های خاک بود. همبستگی منفی و معنی‌داری (در سطح یک درصد) بین DnR و DmT با MWD و GMD وجود داشت. به‌طوری که راسته‌های خاکی که عدد بُعد فرکتالی کمتری داشتند، MWD و GMD بزرگتری داشتند. ضریب تبیین، میانگین خطاها، ریشة میانگین مربعات خطاها، مجذور مربعات باقی‌مانده‌ها، مجذور مربعات عدم برازش و آماره آکایک مطلوبیت بیشتر مدل تیلر و ویت‌کرافت را نشان داد. مدل ریو و اسپوزیتو نیز مدل مناسبی بود گرچه در مواردی بُعد فرکتالی را زیاد محاسبه کرد که دلیل آن احتمالاً حساسیت زیاد این مدل می‌باشد. به‌طور کلی بُعد فرکتالی از اهمیت ویژه‌ای برای مطالعه و کمّی‌سازی ساختمان خاک برخوردار است و مقدار آن به استثناء راستۀ هیستوسول در دیگر راسته‌ها در محدودۀ مناسب (3) بود.

کلیدواژه‌ها

• بُعد فرکتالی
• پایداری خاکدانه‌ها
• توزیع اندازۀ خاکدانه‌ها
• راستۀ خاک
• ساختمان خاک

20.1001.1.20084757.1396.31.4.6.9

عنوان مقاله [English]

Application of Fractal Theory to Quantify Structure from Some Soil Orders

نویسندگان [English]

• alidad karami ¹
• R. Zara ²
• vahid alah jahandideh mahjan abadi ³

¹

² Azad University, Marvdashat Branch

³

چکیده [English]

Introduction: Fractal geometry concepts have been widely applied as a useful tool to describe complex natural phenomena, in particular,for a better understanding of soil physical systems. However, limited information is available on the fractal characteristics of soil properties or soil aggregation. A soil aggregate is made of closely packed sand, silt, clayand organic particles building upsoil structure. Soil aggregation is a soil quality index integrating the chemical, physical, andbiological processes involved in the genesis of soil structure. Soil structure and its stability are important issuesfor many agronomic and environmental processes. Thus, quantitative description of soil structure is very important. Soil forming factors in different soils (various orders) and forms affect the soil structureformation. Characterizing aggregate size distribution for different soil orders using fractal theory is necessary for evaluating the impact of soil forming factors on soil structure and quantifying the relationship between fractal dimension and other important soil properties. Therefore, the aims of this research were quantifying the structure of different soil orders using fractal geometry, mean weight diameter of aggregates (MWD)and geometric mean diameter of aggregates (GMD). In addition, MWD and GMD indices and fractal parameters of soil aggregate size distribution were compared toevaluate soil structure and determinethe relationship between fractal parameters with MWD, GMDand other soil properties.
Materials and Methods: Fractal models which simulate soil structure are also used to better understand soil behaviors. Aggregate size distribution is determined by sieving a fixed amount of soil mass under mechanical stress and is commonly synthesized by the MWD, GMDand fractal dimensions such as the fragmentation fractal dimensions. Therefore, aggregate size distribution and its stability variation were evaluated using some fractal models and MWD and GMD (empirically indices).In the current study, the original data were obtained from analysis of diagnostic horizons of seven important soil orderslocated in Fars Province in the Southern Iran. Soil samples were collected from diagnostic horizons of seven soil orders includingEntisols, Vertisols, Aridisols, Mollisols, Alfisols, Histosols and Inceptisols. The measured physico-chemical properties of soil were aggregate size distribution, soil particle size percentage (sand, silt, and clay), saturation percentage (SP), organic carbon (OC), pH, calcium carbonate equivalent (TNV), gypsum content, soil electrical conductivity (EC) and soil bulk density (BD). The MWD and GMD indices, the fractal dimensions and fractal parameters of aggregates were then calculated. Relationships between soil properties with MWD, GMD and the fractal dimension were also determined.
Results and Discussion: The results showed that there was a significant correlation between fractal dimension of Riue and Sposito and Taylor and Wheatcraft models and soil aggregate stability indices (MWD and GMD indices of aggregates) with the other soil characteristics. This correlation between fractal parameters with organic matter, bulk density, clay and sand percentage was stronger than other soil properties. There was a significant and negative correlation (p< 0.01) between fractal dimension of Riue and Sposito and Taylor and Wheatcraft models with mean weight diameter of aggregates and geometric mean diameter of aggregates. Inverse correlation between fractal dimension and aggregate stability indices illustrateed thatlower fractal dimensionswere calculated for the soils with more stable aggregates which have the highest mean weight diameter of aggregates and geometric mean diameter of aggregates. Subsequently, the fractal dimension of aggregates could reflect the aggregate stability factors. The values of coefficient of determination (R2) and mean error (ME), root mean square error (RMSE), residual some of squares (RSS), mean square of non-fitted (Sr2) and Akaike) AIC (statistical criteria indicated that Taylor and Wheatcraft model had the better performance. Although largerfractal dimensions were estimated by Riue and Sposito modelwhich can be explained by the great model sensitivity, this model overall performed well.
Conclusion: The results indicated that fractal theory can be used to characterize soil structure at different soil orders and fractal dimensions of soil aggregate seems to be more effective in this regard, except forHistosols. Fractal dimension can be estimated using some easily available soil properties. Fractal theory can be applied to characterize and quantify soil structure in different soil orders of Fars Province.

کلیدواژه‌ها [English]

• Aggregates size distribution
• Aggregates stabilit
• Fractal models
• Soil orders
• Soil structure

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