Об одной математической модели разбухания глинистого сланца

  • № 3(21) 2019

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49

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56

Язык: русский

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Аннотация

Предложен модифицированный вариант линейной теории пороупругости для описания разбухания сланца водным электролитом. При этом, предполагается, что сланец ведет себя как изотропная, идеальная ионная мембрана, и в этом случае разбухание зависит только от полного тензора напряжения и от химического потенциала воды в порах породы. Составлены уравнения для напряжения сланца и диффузии для воды.

A modified version of the linear theory of poroelasticity is proposed for describing the swelling slate with an aqueous electrolyte. It is assumed that slate behaves as an isotropic, ideal ionic membrane, and in this case, the swelling depends only on the full stress tensor and on the chemical potential of water in the pores of the rock.

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