## 1 Introduction  
Soil treatment is a challenging civil engineering task with many applications, such as soil stabilization [1, 2, 3, 4], soil remediation [5, 6, 7], and increasing soil permeability [8, 9, 10]. These tasks aim at improving geotechnical and environmental properties of soil prior to construction works [11; 12; 13; 14]. The stabilization of soil foundations with binders improves its strength properties [15; 16; 17; 18; 19], while soil washing removes the pollutants and contaminants from soil through separating it by particle size or leaching [20; 21; 22]. Improving the environmental properties of polluted soil aims at to removing the contaminants, which can be performed using diverse washing solutions [23; 24]. Leaching is then performed by cleaning the soil from organic and inorganic compounds that are bind to soil particles. At the same time, the granulometric type of soil affects its behaviour during leaching and stabilization [25; 26; 27]. Thus, soil texture affects the degree of contamination due to different permeability and capacity to retain pollutants. As a result, fine-grained silt and clays (particle size of 0.002 to 0.6 mm) typical in the cold environment of Norway [28; 29; 30] retain more contaminants due to to clogging of the pores compared to the middle-grained sand (0.6 to 2 mm) or coarse-grained gravel with >2 mm of particle size [31; 32]. A key ingredient for effective soil processing in environmental engineering is the development of the optimised design fit for experiments [33; 34; 35; 36; 37; 38], since methods of soil treatment differ depending on its type (fine-, middle-, or coarse-grained) and properties (water content, density, and temperature). Existing methods of soil remediation used in environmental engineering include the evaluation of leaching potential from soil and immobilization of contaminants [39; 40]. Diverse contaminants can be tested, such as toxic heavy metals, (As, Pb, Cd, Cr, Hg, Ni, and Zn) [41; 42; 43; 44], Polycyclic Aromatic Hydrocarbon (PAH) [45], Polychlorinated biphenyl (PCB) [46], and organotin compounds Tributyltin (TBT) [47; 48; 49; 50]. Depending on the approaches, soil leaching may be implemented with or without the renewed leachate [51], and using either dynamic or extraction tests [52]. A popular approach of the environmental engineering evaluation of soil properties includes the common leaching test [53; 54; 55]. Other examples use the water leach test [56; 57], toxicity characteristic leaching [58], column leach test [59; 60], or soil layering over the substance drainage system [61]. Existing methods follow the existing standards to make use of the well-known approaches in soil testing. Such methods focus on remediation of the ecologically degraded and contaminated soil, assuming that its properties conform to the models in the existing workflow [62; 63; 64]. As a consequence, none of the resulting approaches are tailored to a better understanding of how the variation of soil properties, such as soil moisture, grain size, and permeability, affect its behaviour in leaching. At the same time, soil quality is significantly affected by the the selection of binder types used for stabilization [65; 66; 67], the proportion of water-binder ratio [68] and binder content [69]. Modelling this information, as most dimensionality reduction methods do, introduces additional parameters, and therefore, improves the workflow of soil detoxification and removal of chemical pollutants. Workflow strategies of soil decontamination and remediation have high costs [70; 71; 72]. The process of soil decontamination includes a complex expensive chain of remediation techniques to remove pollutants, heavy metals, organic and inorganic toxins, and organotin compounds [73; 74; 75]. Normally, this includes both in situ (excavating the samples) and ex situ (batch-wise treatment of specimens using percolating water in a laboratory) [76; 77; 78].