I. O. Bayuk, D. E. Beloborodov, M. A. Krasnova, T. E. Bagdasaryan, M. V. Pirogov
{"title":"On the Role of Taking into Account Microstructure in Constructing Models of the Effective Elastic Properties of Limestones","authors":"I. O. Bayuk, D. E. Beloborodov, M. A. Krasnova, T. E. Bagdasaryan, M. V. Pirogov","doi":"10.1134/S1069351325700466","DOIUrl":null,"url":null,"abstract":"<p><b>Abstract</b>—The study constructs parametric mathematical models of the effective elastic properties of carbonate rocks with complex structure, represented by fine-grained organogenic-detrital limestones of the Moscovian with traces of dissolution. Such models make it possible to link parameters characterizing the composition and microstructure of rocks with their macroscopic elastic properties. With measurements of elastic wave velocities on representative rock samples, it is possible to estimate the parameters of their microstructure. However, the solution to such an inverse problem is usually ambiguous, necessitating the search for ways to reduce the domain of possible solutions. In order to solve this problem, this study uses measurements of elastic wave velocities (longitudinal and transverse) obtained on a representative sample of studied rocks in three states of fluid saturation: dry, water-saturated, and glycerin-saturated. Based on the results of measuring the mass of a sample between successive different fluid saturations and at the end of the measurement cycle, the following conclusion was drawn: as a result of repeated drying of the sample and saturation with the next liquid, its porosity did not change. As a result, it can be assumed that in each state of fluid saturation, the same structurally unaltered rock was studied. It is shown that the solution to the inverse problem for velocities obtained on a sample saturated with only one fluid leads to a large area of ambiguity in the solution for determining the parameters of the microstructure of the model, although the number of unknown parameters of the model is equal to the number of independent velocity measurements. Using data on sample velocities in other fluid saturation states to solve the inverse problem significantly reduces the uncertainty of the solution. Examples of the application of the constructed mathematical model of elastic properties of rocks to solve the problem of fluid substitution and influence of cracks on the elastic wave velocities of rocks are given.</p>","PeriodicalId":602,"journal":{"name":"Izvestiya, Physics of the Solid Earth","volume":"61 4","pages":"661 - 675"},"PeriodicalIF":1.0000,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Izvestiya, Physics of the Solid Earth","FirstCategoryId":"89","ListUrlMain":"https://link.springer.com/article/10.1134/S1069351325700466","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"GEOCHEMISTRY & GEOPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract—The study constructs parametric mathematical models of the effective elastic properties of carbonate rocks with complex structure, represented by fine-grained organogenic-detrital limestones of the Moscovian with traces of dissolution. Such models make it possible to link parameters characterizing the composition and microstructure of rocks with their macroscopic elastic properties. With measurements of elastic wave velocities on representative rock samples, it is possible to estimate the parameters of their microstructure. However, the solution to such an inverse problem is usually ambiguous, necessitating the search for ways to reduce the domain of possible solutions. In order to solve this problem, this study uses measurements of elastic wave velocities (longitudinal and transverse) obtained on a representative sample of studied rocks in three states of fluid saturation: dry, water-saturated, and glycerin-saturated. Based on the results of measuring the mass of a sample between successive different fluid saturations and at the end of the measurement cycle, the following conclusion was drawn: as a result of repeated drying of the sample and saturation with the next liquid, its porosity did not change. As a result, it can be assumed that in each state of fluid saturation, the same structurally unaltered rock was studied. It is shown that the solution to the inverse problem for velocities obtained on a sample saturated with only one fluid leads to a large area of ambiguity in the solution for determining the parameters of the microstructure of the model, although the number of unknown parameters of the model is equal to the number of independent velocity measurements. Using data on sample velocities in other fluid saturation states to solve the inverse problem significantly reduces the uncertainty of the solution. Examples of the application of the constructed mathematical model of elastic properties of rocks to solve the problem of fluid substitution and influence of cracks on the elastic wave velocities of rocks are given.
期刊介绍：
Izvestiya, Physics of the Solid Earth is an international peer reviewed journal that publishes results of original theoretical and experimental research in relevant areas of the physics of the Earth''s interior and applied geophysics. The journal welcomes manuscripts from all countries in the English or Russian language.
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