Address: Naberezhnaya Severnoy Dviny, 17, Arkhangelsk, 163002, Russian Federation, Northern (Arctic) Federal University named after M.V.Lomonosov, office 1425

Phone: +7 (8182) 21-61-18

Lesnoy Zhurnal

Mathematical Modeling of Impregnation of Wood in Piezo Periodic Field

Версия для печати

O.A. Kunitskaya, S.S. Burmistrova, E.G. Khitrov, A.N. Minaev

Complete text of the article:

Download article (pdf, 0.5MB )






Nowadays much research has been done on the methods of wood modification aimed at obtaining new structural and protective materials which have better serviceability and technical and economic features of production in comparison with available materials of similar purposes. There are known methods for modifying wood, which allow replacing non-ferrous metals in friction couples and using modified wood-based materials for protection against neutron fluxes, etc. One of the most common ways of modifying wood along with compaction is impregnating by liquids with different properties. Equipment based on the piezo periodic filed effect for efficiency improvement of wood impregnation was created. The impregnation rate is higher in comparison with the other known methods since the samples are additionally exposed to pulse pressure intensification. The difference of parameters describing the filtration in wood capillaries and pores were not taken into account in previously developed mathematical models of operation of such equipment. The implementation of the developed mathematical model discovered that after 25 cycles of pressure increasing the sample will be impregnated by 25–30 cm depending on wood species. The process takes 60 seconds. This shows that the proposed designs of equipment for impregnation of wood with the use of water hammer as well as pressure – discharge – pressure principle exceed already known equipment. The results of the model implementation show that contributions of filtration in pores and capillaries are comparable. The filtration in pores is not as fast as in capillaries. We consider experiments aimed at obtaining additional data on wood permeability separately in pores and capillaries as a promising area for the further research. New experimental data will allow solving the issue of impregnation optimization in order to obtain uniformly impregnated samples in a minimum of treatment time.


O.A. Kunitskaya1, Doctor of Engineering Sciences, Professor
S.S. Burmistrova2, External Postgraduate Student
E.G. Khitrov3, Associate Professor
A.N. Minaev3, Doctor of Engineering Sciences, Professior


1Yakut State Agricultural Academy, sh. Sergelyakhskoye 3 km., 3. Yakutsk, 677007, Russian Federation; 
2Voronezh State University of Forestry and Technologies named after G.F. Morozov, ul. Timiryazeva, 8, Voronezh, 394087, Russian Federation; 
3Saint-Petersburg State Forest Technical University named after S.M. Kirov, pr. Institutskiy, 5, Saint-Petersburg, 194021, Russian Federation; 


water hammer, impregnation of wood, capillary filling, model of pore space of wood

For citation

Kunitskaya O.A., Burmistrova, S.S., Khitrov E.G., Minaev A.N. Mathematical Modeling of Impregnation of Wood in Piezo Periodic Field. Lesnoy Zhurnal [Forestry Journal], 2018, no. 5, pp. 168–180. DOI: 10.17238/issn0536-1036.2018.5.168


1. Grigor’yev I.V. Tekhnologicheskiye protsessy lesosechnykh rabot s uglublennoy obrabotkoy drevesiny [Technological Processes of Logging Operations with Advanced Wood Processing]. Fevral’skiye chteniya: sb. materialov nauch.-prakt. konf. prof.-prep. sostava Syktyvkar. lesn. in-ta po itogam NIR v 2015 g. Syktyvkar, 16–19 fevr. 2016 [Febru-ary readings. Proceedings of the Sci.-Pract. Conf. of the Faculty of the Syktyvkar Forest Institute According to the Research Work Results in 2015, Syktyvkar, February 16–19, 2016]. Syktyvkar, SLI Publ., 2016, pp. 121–126. 
2. Grigor’yev I.V. Povysheniye effektivnosti osvoyeniya lesosechnogo fonda maloy kontsentratsii [Improving of Logging Efficiency of Merchantable Volume of Low Concen-tration]. Povysheniye effektivnosti lesnogo kompleksa: materialy Vtoroy vseros. nauch.-prakt. konf. s mezhdunar. uchastiyem, posvyashchennoy 65-letiyu vyssh. lesn. obrazovaniya v Respublike Kareliya Petrozavodsk, 24 maya 2016 g. [Improving of Efficiency of the For-est Complex. Proceedings of the Second National Russian Sci.-Pract. Conf. with Interna-tional Part., Dedicated to the 65th Anniversary of Higher Forest Education in the Republic of Karelia, Petrozavodsk, May 26, 2016], Petrozavodsk, PetrGU Publ., 2016, pp. 62–65. 
3. Kunitskaya O.A. Modelirovaniye razlichnykh sposobov propitki drevesiny polimerami [Modeling of Different Methods of Wood Impregnation with Polymers]. Lesnoy Vestnik [Forestry Bulletin], 2011, no. 3, pp. 131–135. 
4. Kunitskaya O.A. Obosnovaniye napravleniy diversifikatsii obrabotki nizkoto-varnoy drevesiny na kompleksnykh lesopromyshlennykh predpriyatiyakh s ispol’zovaniyem innovatsionnykh tekhnologiy [Objectivation of the Diversification Directions of Low-Grade Wood Processing at the Integrated Forest Enterprises with the Use of Innovative Technologies]. Saint Petersburg, SPbGLTU Publ., 2015. 250 p. (In Russ.) 
5. Kunitskaya O.A., Bazarov S.M., Rzhavtsev A.A., Grigor’yev I.V. Konstruktsiya i teoriya rascheta ustanovki dlya propitki drevesiny vyazkotekuchimi komponentami v p’yezo pole [Design and Calculating Theory of the Equipment for Impregnation of Viscous-Flow Components in Piezo Shock Field]. Spravochnik. Inzhenernyi zhurnal [Handbook. An Engineering Journal]. 2011, no. 1, pp. 41–43. Available at: asp?id=8233 (accessed 01.06.18)
6. Kunitskaya O.A., Burmistrova S.S., Tikhonov I.I., Grigor’yev I.V. Ustroystvo dlya propitki drevesiny [Device for Impregnation of Wood]. Useful Model Patent. No. 119283. Published 20.08.2012. 
7. Kunitskaya O.A., Rzhavtsev A.A., Grigor’yev I.V., Sokolova V.A. Ustroystvo dlya propitki derevyannykh zagotovok [Device for Impregnation of Wood]. Useful Model Patent. No. 91927. Published 10.03.2010.
8. Patyakin V.I., Tishin Yu.G., Bazarov S.M. Tekhnicheskaya gidrodinamika drevesiny [Technical Hydrodynamics of Wood]. Moscow, Lesnaya promyshlennost’ Publ., 1990. 304 p. (In Russ.)
9. Baar J., Pařil P., Rozbořil T., Kúdela J. Colour Stability of Chemically Modified Oak Wood – Nanoiron and Ammonia Treatment. Proceedings of the “Eco-Efficient Re-source Wood with Special Focus on Hardwoods”. Sopron, September 8–9, 2016. Sopron, Hungary, 2016, pp. 35–36.
10. Grigorev I.V., Grigorev G.V., Nikiforova A.I., Kunitckaia O.A., Dmitrieva I.N., Khitrov E.G., Pásztory Z. Experimental Study of Impregnation Birch and Aspen Samples. BioResources, 2014, vol. 9, iss. 4, pp. 7018–7026. Available at: https://bioresources.cnr. VIANGP_ Ex-per_Impreg_Birch_Aspen_6136.pdf (accessed 06.10.2014).
11. Lisov V.Yu, Grigorev I.V. Determination Coefficient Filtration of Forest Soil. Proceedings of the IV International Research and Practice Conference “European Science and Technology”, Munich, April 10–11, 2013. Munich, Germany, Vela Verlag Waldkrai-burg, 2013, vol. I, pp. 268–274.
12. Pařil P., Brabec M., Maňák O., Rousek R., Rademacher P., Čermák P., Dejmal A. Comparison of Selected Physical and Mechanical Properties of Densified Beech Wood Plasticized by Ammonia and Saturated Steam. European Journal of Wood and Wood Products, 2014, vol. 72, iss. 5, pp. 583–591.
13. Pařil P., Dejmal A. Moisture Absorption and Dimensional Stability of Poplar Wood Impregnated with Sucrose and Sodium Chloride. Maderas. Ciencia y tecnología, 2014, vol. 16, no. 3, pp. 299–311.
14. Rademacher P., Pařil P., Baar J., Čermák P., Rousek R., Meier D., Koch G., Schmitt U. Improvement of Wood Properties due to Impregnation of Wood with Renewable Liquids from Different Process Residues of Native Origin. Proceedings of the First COST Action FP1307 International Conference – Life Cycle Assessment, EPDs, and Modified Wood, Koper, August 25–26, 2015. Koper, Slovenia, 2015, pp. 28–30.
15. Sablík P., Giagli K., Pařil P., Baar J., Rademacher P. Impact of Extractive Chemical Compounds from Durable Wood Species on Fungal Decay аfter Impregnation of Nondurable Wood Species. European Journal of Wood and Wood Products, 2016, vol. 74, iss. 2, pp. 231–236.

Received on June 01, 2018

Mathematical Modeling of Impregnation of Wood in Piezo Periodic Field


Make a Submission


Lesnoy Zhurnal (Russian Forestry Journal) was awarded the "Seal of Recognition for Active Data Provider of the Year 2024"