  Coagulation-flocculation, the physicochemical process widely used for
purification a wastewater, is affected both by chemical details of involved
polymers and by the statistics of their conformations on a large scale. The
latter aspect is covered in this study by employing a coarse-grained modelling
approach based on a combination of two paradigms of statistical mechanics. One
is the self-avoiding walk (SAW) which generates a range of conformations for a
linear polymer of $N_{{\rm SAW}}$ monomers. Another one is a non-trivial
diffusion limited aggregation (DLA) process of $N_{{\rm DLA}}$ impurities
(referred thereafter as "particles") which describes their coagulation
occurring with the probability $0< p \leq 1$ ($p=1$ recovers a standard DLA).
DLA of diffusive particles is complemented by their irreversible adsorption on
the SAW monomers occurring with the probability equal to one, both processes
resulting in formation of the DLA-SAW agglomerates. The dynamics of formation
of such agglomerates, as well as their fractal dimensions and internal
structure are of practical interest. We consider a range of related
characteristics, such as: (i) absolute $N_a$ and relative $n_a$ adsorbing
efficiencies of SAW; (ii) effective gyration radius $R_{g {\rm DLA-SAW}}$ of
the DLA-SAW agglomerates; and (iii) the fractal dimension $D_{{\rm DLA-SAW}}$
of these aggregates. These are studied within a wide range for each parameter
from a set $\{p,N_{{\rm DLA}},N_{{\rm SAW}}\}$.
