Актуальные вопросы исследований пластовых систем углеводородов

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Рис. 9. Пример прогноза распределения пластового давления на 6-й и 20-й годы

разработки для одной из реализаций строения резервуара Ач

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СБОРНИК НАУЧНЫХ СТАТЕЙ

ȼɫɟ ɛɟɡ ɢɫɤɥɸɱɟɧɢɹ ɷɬɚɩɵ ɫɨɡɞɚɧɢɹ ɦɨɞɟɥɢ ɨɛɴɟɤɬɚ ɞɨɥɠɧɵ

ɜɵɩɨɥɧɹɬɶɫɹ ɩɨɫɥɟɞɨɜɚɬɟɥɶɧɨ ɢ ɛɵɬɶ ɧɟɪɚɡɪɵɜɧɨ ɜɡɚɢɦɨɫɜɹɡɚɧɵ.

ȼ ɷɬɨɦ ɫɦɵɫɥɟ ɬɪɚɞɢɰɢɨɧɧɨɟ ɜɵɞɟɥɟɧɢɟ ɞɜɭɯ ɨɬɞɟɥɶɧɵɯ ɷɬɚɩɨɜ –

ɩɨɫɬɪɨɟɧɢɟ ɝɟɨɥɨɝɢɱɟɫɤɨɣ, ɚ ɡɚɬɟɦ – ɝɢɞɪɨɞɢɧɚɦɢɱɟɫɤɨɣ ɦɨɞɟ-

ɥɟɣ – ɧɟɰɟɥɟɫɨɨɛɪɚɡɧɨ ɢ ɜɪɟɞɧɨ.

ɇɨɜɵɦɢ ɜ ɩɪɚɤɬɢɤɟ ɩɪɨɟɤɬɢɪɨɜɚɧɢɹ ɫ ɩɪɢɦɟɧɟɧɢɟɦ ɢɧɬɟɝɪɚɥɶ-

ɧɨɝɨ ɩɨɞɯɨɞɚ, ɚ ɩɨɬɨɦɭ ɢ ɬɪɟɛɭɸɳɢɦɢ ɨɫɨɛɟɧɧɨɝɨ ɜɧɢɦɚɧɢɹ ɢ ɜɵ-

ɫɨɤɨɣ ɤɜɚɥɢɮɢɤɚɰɢɢ ɩɪɢɜ

ɥɟɤɚɟɦɵɯ ɧɚɭɱɧɵɯ ɤɨɥɥɟɤɬɢɜɨɜ, ɹɜɥɹɸɬ-

ɫɹ ɬɪɢ ɫɨɫɬɚɜɧɵɯ ɷɥɟɦɟɧɬɚ:

•

ɫɩɟɰɢɚɥɶɧɚɹ ɤɨɦɩɥɟɤɫɧɚɹ ɢɧɬɟɪɩɪɟɬɚɰɢɹ ɫɟɣɫɦɢɱɟɫɤɢɯ ɞɚɧ-

ɧɵɯ ɫɨɜɦɟɫɬɧɨ ɫ ɞɚɧɧɵɦɢ ɫɤɜɚɠɢɧɧɨɣ ɝɟɨɮɢɡɢɤɢ ɢ ɪɟɡɭɥɶɬɚɬɚɦɢ

ɢɡɭɱɟɧɢɹ ɤɟɪɧɚ;

•

ɢɫɩɨɥɶɡɨɜɚɧɢɟ ɦɟɬɨɞɨɜ ɤɨɥɢɱɟɫɬɜɟɧɧɨɣ ɨɰɟɧɤɢ ɧɟɨɩɪɟɞɟ-

ɥɟɧɧɨɫɬɟɣ ɢɧɮɨɪɦɚɰɢɢ ɪɚɡɥɢɱɧɵɯ ɜɢɞɨɜ;

•

ɫɨɡɞɚɧɢɟ ɫɬɨɯɚɫɬɢɱɟɫɤɨɣ ɰɢɮɪɨɜɨɣ ɦɨɞɟɥɢ ɨɛɴɟɤɬɚ, ɨɛɴɟɞɢ-

ɧɹɸɳɟɣ ɝɟɨɥɨɝɢɱɟɫɤɢɣ ɢ ɮɢɥɶɬɪɚɰɢɨɧɧɵɣ ɛɥɨɤɢ ɜ ɟɞɢɧɨɣ ɦɚɬɟɦɚ-

ɬɢɱɟɫɤɨɣ ɩɨɫɬɚɧɨɜɤɟ.

ɇɚɢɛɨɥɟɟ ɜɵɫɨɤɭɸ ɷɮɮɟɤɬɢɜɧɨɫɬɶ ɨɛɫɭɠɞɚɟɦɨɝɨ ɩɨɞɯɨɞɚ

ɦɨɠɧɨ ɨɠɢɞɚɬɶ ɨɬ ɩɪɢɦɟɧɟɧɢɹ ɟɝɨ ɧɚ ɦɨɪɫɤɢɯ ɨɛɴɟɤɬɚɯ, ɝɞɟ ɱɢɫ-

ɥɨ ɫɤɜɚɠɢɧ ɨɝɪɚɧɢɱɟɧɨ, ɚ ɫɟɣɫɦɢɤɚ ɨɬɥɢɱɚɟɬɫɹ ɛɨɥɟɟ ɜɵɫɨɤɢɦ ɤɚ-

ɱɟɫɬɜɨɦ, ɱɟɦ ɧɚ ɫɭɲɟ.

Список литературы

1. Ȼɪɚɬɚɲ Ȼ.ȼ. Ʉɨɦɩɥɟɤɫɧɨɟ ɦɨɞɟɥɢɪɨɜɚɧɢɟ ɩɥɚɫɬɨɜɵɯ ɫɢ-

ɫɬɟɦ ɫ ɩɪɢɦɟɧɟɧɢɟɦ ɫɬɨɯɚɫɬɢɱɟɫɤɢɯ ɦɟɬɨɞɨɜ ɞɥɹ ɡɚɞɚɧɢɹ ɤɨɥɥɟɤ-

ɬɨɪɫɤɢɯ ɫɜɨɣɫɬɜ / Ȼ.ȼ. Ȼɪɚɬɚɲ, Ⱥ.ȿ. Ɋɵɠɨɜ, ɇ.ȼ. ɋɚɜɱɟɧɤɨ ɢ ɞɪ. //

Ɏɭɧɞɚɦɟɧɬɚɥɶɧɵɟ ɩɪɨɛɥɟɦɵ ɧɟɮɬɢ ɢ ɝɚɡɚ: ɦɚɬɟɪɢɚɥɵ ȼɫɟɪɨɫɫ.

ɧɚɭɱ. ɤɨɧɮ. – Ɇ., 22–25 ɹɧɜɚɪɹ 1996. – Ɍ. 2. – ɋ. 239–250.

2. Ɋɵɠɨɜ Ⱥ.ȿ. Ɉɫɨɛɟɧɧɨɫɬɢ ɪɚɡɪɚɛɨɬɤɢ ɝɚɡɨɤɨɧɞɟɧɫɚɬɧɵɯ ɡɚɥɟ-

ɠɟɣ ɚ

ɱɢɦɨɜɫɤɢɯ ɨɬɥɨɠɟɧɢɣ / Ⱥ.ȿ. Ɋɵɠɨɜ, ɇ.ȼ. ɋɚɜɱɟɧɤɨ, ȿ.ȼ. ɒɟ-

ɛɟɪɫɬɨɜ // Ƚɚɡɨɜɚɹ ɩɪɨɦɵɲɥɟɧɧɨɫɬɶ. – 2005. –ʋ 1. – ɋ. 32–36.

3. Ʉɚɩɥɚɧ ɋ.Ⱥ. ȼɨɡɦɨɠɧɨɫɬɢ ɩɪɨɝɧɨɡɚ ɢɧɬɟɝɪɚɥɶɧɵɯ ɟɦɤɨɫɬ-

ɧɵɯ ɫɜɨɣɫɬɜ ɩɨ ɞɚɧɧɵɦ Ƚɂɋ ɢ ɫɟɣɫɦɨɪɚɡɜɟɞɤɢ / ɋ.Ⱥ. Ʉɚɩɥɚɧ,

ȿ.ȼ. Ɂɨ ɬɨɜɚ, ȿ.ɘ. ɒɟɥɚɜɢɧɚ ɢ ɞɪ. // Ƚɟɨɮɢɡɢɤɚ. – Ɇ.: ȿȺȽɈ, 1997. –

ʋ 5.

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4. Ƚɢɥɶɛɟɪɲɬɟɣɧ ɉ.Ƚ. Ⱥɞɚɩɬɢɜɧɵɣ ɢɧɬɟɝɪɢɪɨɜɚɧɧɵɣ ɚɧɚɥɢɡ

ɝɟɨɢɧɮɨɪɦɚɰɢɢ / ɉ.Ƚ. Ƚɢɥɶɛɟɪɲɬɟɣɧ, ɋ.Ⱥ. Ʉɚɩɥɚɧ, Ⱥ.ə. ɂɤɫɚɧɨɜ. –

Ɇ.: Ƚɟɨɢɧɮɨɪɦɚɬɢɤɚ, 1996. – ɋ. 90–94.

5. Ʉɚɩɥɚɧ ɋ.Ⱥ. Ɇɟɬɨɞɢɤɚ ɢɧɬɟɝɪɢɪɨɜɚɧɧɨɝɨ ɚɧɚɥɢɡɚ ɞɚɧɧɵɯ

Ƚɂɋ ɢ ɫɟɣɫɦɨɪɚɡɜɟɞɤɢ ɩɪɢ ɢɡɭɱɟɧɢɢ ɦɟɫɬɨɪɨɠɞɟɧɢɣ ɧɟɮɬɢ ɢ ɝɚɡɚ

[Ɍɟɤɫɬ]: ɚɜɬɨɪɟɮ. ɞɢɫ. … ɤɚɧɞ. ɬɟɯɧ. ɧɚɭɤ: 04.00.12 / ɋ.Ⱥ. Ʉɚɩɥɚɧ. –

Ɇ., 1994. – 44 ɫ.

6. Ɇɟɬɨɞɢɱɟɫɤɢɟ ɪɟɤɨɦɟɧɞɚɰɢɢ ɩɨ ɢɫɩɨ

ɥɶɡɨɜɚɧɢɸ ɦɚɬɟɪɢɚɥɨɜ

Ƚɂɋ, ɞɚɧɧɵɯ ɚɧɚɥɢɡɚ ɤɟɪɧɚ ɢ ɪɟɡɭɥɶɬɚɬɨɜ ɢɫɩɵɬɚɧɢɣ ɞɥɹ ɩɨɞɫɱɟɬɚ

ɡɚɩɚɫɨɜ ɝɚɡɚ ɢ ɧɟɮɬɢ ɜ ɩɪɨɞɭɤɬɢɜɧɵɯ ɨɬɥɨɠɟɧɢɹɯ ɚɱɢɦɨɜɫɤɨɣ ɬɨɥ-

ɳɢ ɍȽɄɆ. – Ɇ.: ɊȽɍ ɧɟɮɬɢ ɢ ɝɚɡɚ ɢɦ. ɂ.Ɇ. Ƚɭɛɤɢɧɚ, 1998.

7. Ɇɟɬɨɞɢɱɟɫɤɢɟ ɪɟɤɨɦɟɧɞɚɰɢɢ ɩɨ ɨɩɪɟɞɟɥɟɧɢɸ ɩɨɞɫɱɟɬ-

ɧɵɯ ɩɚɪɚɦɟɬɪɨɜ ɡɚɥɟɠɟɣ ɧɟɮɬɢ ɢ ɝɚɡɚ ɩɨ ɦɚɬɟɪɢɚɥɚɦ ɝɟɨɮɢɡɢɱɟ-

ɫɤɢɯ ɢɫɫɥɟɞɨɜɚɧɢɣ ɫɤɜɚɠɢɧ ɫ ɩɪɢɜ

ɥɟɱɟɧɢɟɦ ɪɟɡɭɥɶɬɚɬɨɜ ɚɧɚɥɢ-

ɡɚ ɤɟɪɧɚ, ɨɩɪɨɛɨɜɚɧɢɣ ɢ ɢɫɩɵɬɚɧɢɣ ɩɪɨɞɭɤɬɢɜɧɵɯ ɩɥɚɫɬɨɜ / ɩɨɞ

ɪɟɞ. Ȼ.ɘ. ȼɟɧɞɟɥɶɲɬɟɣɧɚ, ȼ.Ɏ. Ʉɨɡɹɪɚ ɢ Ƚ.Ƚ. əɰɟɧɤɨ. – Ʉɚɥɢɧɢɧ:

ɋɨɸɡɩɪɨɦɝɟɨɮɢɡɢɤɚ, 1990.

8. Ɋɭɞɧɢɰɤɚɹ Ⱦ.ɂ. Ɇɟɬɨɞɢɱɟɫɤɢɟ ɪɟɤɨɦɟɧɞɚɰɢɢ ɩɨ ɨɛɪɚɛɨɬ-

ɤɟ ɫɟɣɫɦɢɱɟɫɤɢɯ ɡɚɩɢɫɟɣ ɩɪɢ ɢɡɭɱɟɧɢɢ ɚɤɭɫɬɢɱɟɫɤɢɯ ɧɟɨɞɧɨɪɨɞ-

ɧɨɫɬɟɣ ɬɨɧɤɨɫɥɨɢɫɬɵɯ ɫɪɟɞ ɫ ɰɟɥɶɸ ɩɪɨɝɧɨɡɢɪɨɜɚɧɢɹ ɧɟɚɧɬɢɤɥɢ-

ɧɚɥɶɧɵɯ ɥɨɜɭɲɟɤ ɧɟɮɬɢ ɢ ɝɚɡɚ / Ⱦ.ɂ. Ɋɭ

ɞɧɢɰɤɚɹ, ȼ.ɂ. Ȼɟɪɢɥɤɨ,

Ƚ.Ⱥ. Ƚɨɪɨɯɨɜɚ ɢ ɞɪ. – ɇɨɜɨɫɢɛɢɪɫɤ: ɋɇɂɂȽȽɢɦɫ, 1983. – 58 ɫ.

9. Lucia F.J. Geologic / F.J. Lucia, G.E. Fogg // Stochastic Mapping

of Heterogenetyin a Carbonate Reservoir. JPT. – 1990. – ʋ 10. –

P. 1298–1303.

МЕТОДЫ РАСЧЕТА ТЕПЛОФИЗИЧЕСКИХ СВОЙСТВ НЕФТИ,

ГАЗОВЫХ КОНДЕНСАТОВ И ИХ ФРАКЦИЙ

Б.А. Григорьев (ООО «Газпром ВНИИГАЗ»),

А.А. Герасимов (Калининградский государственный

технический университет)

ȼ ɪɚɛɨɬɟ ɩɪɟɞɫɬɚɜɥɟɧɵ ɫɨɜɪɟɦɟɧɧɵɟ ɦɟɬɨɞɵ ɪɚɫɱɟɬɚ ɬɟɩɥɨ-

ɮɢɡɢɱɟɫɤɢɯ ɫɜɨɣɫɬɜ ɭɝɥɟɜɨɞɨɪɨɞɧɵɯ ɫɢɫɬɟɦ ɧɟɨɩɪɟɞɟɥɟɧɧɨɝɨ ɫɨ-

ɫɬɚɜɚ, ɪɚɡɪɚɛɨɬɚɧɧɵɟ ɚɜɬɨɪɚɦɢ ɧɚ ɨɫɧɨɜɟ ɧɚɢɛɨɥɟɟ ɧɚɞɟɠɧɵɯ ɢ

ɩɪɟɞɫɬɚɜɢɬɟɥɶɧɵɯ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɞɚɧɧɵɯ [1–13]. Ȼɚɡɚ ɷɤɫ-

ɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɞɚɧɧɵɯ ɜɤɥɸɱɚɥɚ ɬɟɩɥɨɮɢɡɢɱɟɫɤɭɸ ɢ ɮɢɡɢɤɨ-

ɯɢɦɢɱɟɫɤɭɸ ɢɧɮɨɪɦɚɰɢɸ ɛɨɥɟɟ ɱɟɦ ɨ 300-ɯ ɜɟɳɟɫɬɜɚɯ (ɧɟɮɬɶ

ɢ ɝɚɡɨɜɵɟ ɤɨɧɞɟɧɫɚɬɵ ɪɚɡɥɢɱɧɵɯ ɦɟɫɬɨɪɨɠɞɟɧɢɣ ɢ ɢɯ ɮɪɚɤɰɢɢ

ɪɚɡɥɢɱɧɨɝɨ ɫɩɨɫɨɛɚ ɩɟɪɟɪɚɛɨɬɤɢ). ȼɫɟ ɦɟɬɨɞɵ ɪɚɫɱɟɬɚ ɩɨɫɬɪɨɟ-

ɧɵ ɜ ɪɚɦɤɚɯ ɨɞɧɨɠɢɞɤɨɫɬɧɨɣ ɦɨɞɟɥɢ ɮɪɚɤɰɢɢ [14] ɫ ɢɫɩɨɥɶɡɨɜɚ-

ɧɢɟɦ ɦɢɧɢɦɚɥɶɧɨɣ ɢɫɯɨɞɧɨɣ ɢɧɮɨɪɦɚɰɢɢ ɨ ɮɢɡɢɤɨ-ɯɢɦɢɱɟɫɤɢɯ

ɫɜɨɣɫɬɜɚɯ ɜɟɳɟɫɬɜɚ ɢ ɟɝɨ ɫɨɫɬɚɜɟ. ȼ ɤɚɱɟɫɬɜɟ ɩɨɤɚɡɚɬɟɥɟɣ, ɢɞɟɧ-

ɬɢɮɢɰɢɪɭɸɳɢɯ ɮɪɚɤɰɢɸ, ɢɫɩɨɥɶɡɨɜɚɧɵ ɩɨɤɚɡɚɬɟɥɶ ɩɪɟɥɨɦɥɟ-

ɧɢɹ ɩɪɢ ɬɟɦɩɟɪɚɬɭɪɟ 20 qɋ n

(ɢɥɢ 70 qɋ – ɞɥɹ ɜɵɫɨɤɨɤɢɩɹɳɢɯ

ɮɪɚɤɰɢɣ), ɨɬɧɨɫɢɬɟɥɶɧɚɹ ɩɥɨɬɧɨɫɬɶ U

(ɢɥɢ U

), ɦɨɥɹɪɧɚɹ ɦɚɫɫɚ

Ɇ (ɤɝ/ɤɦɨɥɶ) ɢ ɫɪɟɞɧɟɨɛɴɟɦɧɚɹ ɬɟɦɩɟɪɚɬɭɪɚ ɤɢɩɟɧɢɹ Ɍ

(Ʉ).

ȼ ɞɚɧɧɨɣ ɫɬɚɬɶɟ ɨɫɜɟɳɟɧɵ ɬɨɥɶɤɨ ɤɨɧɟɱɧɵɟ ɪɟɡɭɥɶɬɚɬɵ ɛɟɡ

ɨɩɢɫɚɧɢɹ ɩɪɨɰɟɞɭɪɵ ɪɚɡɪɚɛɨɬɤɢ ɬɨɝɨ ɢɥɢ ɢɧɨɝɨ ɦɟɬɨɞɚ ɢ ɫɪɚɜɧɟ-

ɧɢɹ ɟɝɨ ɫ ɫɭɳɟɫɬɜɭɸɳɢɦɢ. ɉɪɢ ɷɬɨɦ ɪɟɡɭɥɶɬɚɬɵ ɫɪɚɜɧɟɧɢɹ ɫ ɞɪɭ-

ɝɢɦɢ ɦɟɬɨɞɚɦɢ ɩɨɡɜɨɥɹɸɬ ɩɨɥɚɝɚɬɶ, ɱɬɨ ɡɞɟɫɶ ɩɪɟɞɫɬɚɜɥɟɧɵ ɧɚɢ-

ɛɨɥɟɟ ɧɚɞɟɠɧɵɟ ɢ ɲɢɪɨɤɨɞɢɚɩɚɡɨɧɧɵɟ ɦɟɬɨɞɵ ɪɚɫɱɟɬɚ ɫ ɛɨɥɶɲɢ-

ɦɢ ɩɪɨɝɧɨɡɧɵɦɢ ɜɨɡɦɨɠɧɨɫɬɹɦɢ.

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Термодинамические свойства

ɉɥɨɬɧɨɫɬɶ ɠɢɞɤɨɣ ɮɚɡɵ ɩɪɢ ɚɬɦɨɫɮɟɪɧɨɦ ɞɚɜɥɟɧɢɢ.

ɉɥɨɬɧɨɫɬɶ U

ɩɪɢ ɬɟɦɩɟɪɚɬɭɪɟ Ɍ ɪɚɫɫɱɢɬɵɜɚɟɬɫɹ ɩɨ ɮɨɪɦɭɥɟ

U

= U

– J(Ɍ – Ɍ

), (1)

ɝɞɟ J – ɬɟɦɩɟɪɚɬɭɪɧɚɹ ɩɨɩɪɚɜɤɚ ɩɥɨɬɧɨɫɬɢ, ɤɝ·ɦ

-3

·Ʉ

-1

, ɩɪɢɧɢɦɚɟɬ-

ɫɹ ɡɚɜɢɫɹɳɟɣ ɨɬ ɭɝɥɟɜɨɞɨɪɨɞɧɨɝɨ ɫɨɫɬɚɜɚ ɮɪɚɤɰɢɢ, ɤɨɬɨɪɵɣ ɤɨɫ-

ɜɟɧɧɨ ɭɱɢɬɵɜɚɟɬɫɹ ɱɟɪɟɡ ɢɧɬɟɝɪɚɥɶɧɵɟ ɩɨɤɚɡɚɬɟɥɢ ɫɨɫɬɚɜɚ – n

, Ɇ:

J = [1,706 – 43,65/(M · R

]

-1

, (2)

ɝɞɟ R

– ɭɞɟɥɶɧɚɹ ɪɟɮɪɚɤɰɢɹ ɩɨ ɗɣɤɦɚɧɭ, ɨɩɪɟɞɟɥɹɟɦɚɹ ɩɨ ɮɨɪɦɭɥɟ:

= [(n

)

– 1]/[( n

) + 0,4)U

]. (3)

ȼɟɥɢɱɢɧɚ ɫɪɟɞɧɟɝɨ ɤɜɚɞɪɚɬɢɱɧɨɝɨ ɨɬɤɥɨɧɟɧɢɹ (ɋɄɈ) ɜ ɞɢɚɩɚ-

ɡɨɧɟ ɬɟɦɩɟɪɚɬɭɪ ɨɬ 230 Ʉ ɞɨ ɧɚɱɚɥɚ ɤɢɩɟɧɢɹ ɫɨɫɬɚɜɢɥɚ 0,39 % ɩɪɢ

ɫɪɟɞɧɟɦ ɚɪɢɮɦɟɬɢɱɟɫɤɨɦ ɨɬɤɥɨɧɟɧɢɢ (ɋȺɈ) 0,18 % (ɜ ɬɟɫɬɢɪɨɜɚ-

ɧɢɟ ɜɤɥɸɱɟɧɵ ɞɚɧɧɵɟ ɨ 263 ɜɟɳɟɫɬɜɚɯ).

ɉɥɨɬɧɨɫɬɶ ɧɚ ɥɢɧɢɢ ɧɚɫɵɳɟɧɢɹ ɠɢɞɤɨɣ ɮɚɡɵ. Ⱦɥɹ ɪɚɫ-

ɲɢɪɟɧɢɹ ɬɟɦɩɟɪɚɬɭɪɧɨɝɨ ɞɢɚɩɚɡɨɧɚ ɪɚɫɱɟɬɚ ɩɥɨɬɧɨɫɬɢ ɞɨ 0,95Ɍ

ɩɪɟɞɥɚɝɚɟɬɫɹ ɫɥɟɞɭɸɳɟɟ ɭɪɚɜɧɟɧɢɟ, ɩɪɟɞɫɬɚɜɥɹɸɳɟɟ ɦɨɞɢɮɢɤɚ-

ɰɢɸ ɭɪɚɜɧɟɧɢɹ Ɏɢɥɢɩɩɨɜɚ [14]:

– 1 ) = B(1 – W)

+ B

(1 – W), (4)

ɝɞɟ U

= U/U

ɪc

; W = T/T

Ʉɨɷɮɮɢɰɢɟɧɬɵ B ɢ ȼ

ɪɚɫɫɱɢɬɵɜɚɸɬɫɹ ɩɨ ɮɨɪɦɭɥɚɦ:

B = (b

Z + b

+ b

)/(1 + b

Z), (5)

= [U

– 1 – B(1 – W

)

]/(1 – W

), (6)

ɝɞɟ b

= 1,988268; b

= 0,5893677; b

= –0,7467901; b

= 3,049256;

= 0,59; Ĳ = T/T

; ɏ

– ɨɬɧɨɫɢɬɟɥɶɧɨɟ ɫɨɞɟɪɠɚɧɢɟ ɰɢɤɥɢɱɟ-

ɫɤɢɯ ɫɬɪɭɤɬɭɪ (ɧɚɮɬɟɧɨɜɵɯ ɢ ɚɪɟɧɨɜɵɯ) ɜ ɭɫɪɟɞɧɟɧɧɨɣ ɦɨɥɟɤɭɥɟ

226

СБОРНИК НАУЧНЫХ СТАТЕЙ

ɜɟɳɟɫɬɜɚ. ɗɬɚ ɜɟɥɢɱɢɧɚ ɞɨɫɬɚɬɨɱɧɨ ɩɪɨɫɬɨ ɨɩɪɟɞɟɥɹɟɬɫɹ ɦɟɬɨ-

ɞɚɦɢ n

-U-M-ɚɧɚɥɢɡɚ [15]. ɇɢɠɧɢɣ ɢɧɞɟɤɫ 0 ɩɨɤɚɡɵɜɚɟɬ, ɱɬɨ ɫɨ-

ɨɬɜɟɬɫɬɜɭɸɳɟɟ ɫɜɨɣɫɬɜɨ ɨɩɪɟɞɟɥɹɟɬɫɹ ɩɪɢ ɨɩɨɪɧɨɣ ɬɟɦɩɟɪɚɬɭɪɟ

= 293,15 Ʉ.

Ɂɞɟɫɶ ɢ ɜ ɞɚɥɶɧɟɣɲɟɦ ɞɥɹ ɪɚɫɱɟɬɚ ɩɫɟɜɞɨɤɪɢɬɢɱɟɫɤɢɯ ɫɜɨɣɫɬɜ

ɪɫ

ɢ Ɋ

ɪɫ

, ɚ ɬɚɤɠɟ ɚɰɟɧɬɪɢɱɟɫɤɨɝɨ ɤɨɷɮɮɢɰɢɟɧɬɚ ɉɢɬɰɟɪɚ Z ɪɟɤɨ-

ɦɟɧɞɭɟɬɫɹ ɢɫɩɨɥɶɡɨɜɚɬɶ ɤɨɪɪɟɥɹɰɢɨɧɧɵɟ ɫɨɨɬɧɨɲɟɧɢɹ, ɩɨɥɭɱɟɧ-

ɧɵɟ Ʉɟɫɥɟɪɨɦ ɢ Ʌɢ [16]. Ɋɚɫɱɟɬ ɩɫɟɜɞɨɤɪɢɬɢɱɟɫɤɨɣ ɩɥɨɬɧɨɫɬɢ U

ɪɫ

ɪɟɤɨɦɟɧɞɭɟɬɫɹ ɩɪɨɜɨɞɢɬɶ ɩɨ ɮɨɪɦɭɥɟ Ɋɢɚɡɢ ɢ Ⱦɨɭɛɟɪɬɚ [17]:

= 189,833 + 450,56U

+ (0,4244 + 0,1174U

+ (0,1441 – 1,00688U

) · 10

; (7)

ln Ɋ

= 3,38639 – 0,0566/U

– [0,436392 + 4,12164/U

+ 0,213426/(U

)

] · 10

-3

+ [4,75794 + 11,81952/U

+ 1,530155/(U

)

] · 10

-7

– [2,450548 + 9,900986/(U

)

] u

u 10

-10

; (8)

U

= 1796,37T

-0,2896

)

0,7666

, (9)

ɝɞɟ T

, Ʉ; Ɋ

, Ɇɉɚ; U

ɪɫ

, ɤɝ/ɦ

Ɏɚɤɬɨɪ ɚɰɟɧɬɪɢɱɧɨɫɬɢ ɉɢɬɰɟɪɚ:

•

ɩɪɢ T

= W

d 0,8

ln – 5,92714 6,09648 / 1, 28862ln – 0,169347

15,2518 – 15,6875 / – 13,4721ln 0, 43577

bbbb

bbb

π+τ+ττ

ω=

ττ+τ

; (10)

•

ɩɪɢ W

> 0,8

Z = –7,904 + 0,1352K

– 0,007465K

+ 8,359W

+ (1,408 – 0,01063K

)/W

, (11)

ɝɞɟ S

= 0,101325/Ɋ

; K

= 1,216(T

)

1/3

– ɮɚɤɬɨɪ ȼɚɬɫɨɧɚ.

Ɉɲɢɛɤɢ ɪɚɫɱɟɬɚ ɩɥɨɬɧɨɫɬɢ ɩɨ ɭɪɚɜɧɟɧɢɸ (4) ɩɪɢ ɬɟɦɩɟɪɚɬɭ-

ɪɚɯ ɞɨ 0,9Ɍ

ɪɫ

ɫɨɫɬɚɜɢɥɢ: ɋɄɈ = 0,39 %; ɋȺɈ = 0,23 %. Ⱥɧɚɥɢɡ ɩɨɤɚ-

ɡɚɥ, ɱɬɨ ɬɟɦɩɟɪɚɬɭɪɧɵɣ ɞɢɚɩɚɡɨɧ ɩɪɨɝɧɨɡɧɨɝɨ ɪɚɫɱɟɬɚ ɩɥɨɬɧɨɫɬɢ

ɦɨɠɟɬ ɛɵɬɶ ɪɚɫɲɢɪɟɧ ɞɨ 0,99Ɍ

, ɟɫɥɢ ɢɫɩɨɥɶɡɨɜɚɬɶ ɡɧɚɱɟɧɢɟ «ɢɫ-

ɬɢɧɧɨɣ» ɤɪɢɬɢɱɟɫɤɨɣ ɬɟɦɩɟɪɚɬɭɪɵ ɫɦɟɫɢ. ȼ ɪɟɡɭɥɶɬɚɬɟ ɨɛɨɛɳɟɧɢɹ

227

АКТУАЛЬНЫЕ ВОПРОСЫ ИССЛЕДОВАНИЙ ПЛАСТОВЫХ СИСТЕМ МЕСТОРОЖДЕНИЙ УГЛЕВОДОРОДОВ

ɧɟɦɧɨɝɨɱɢɫɥɟɧɧɵɯ ɫɨɛɫɬɜɟɧɧɵɯ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɞɚɧɧɵɯ ɨ

ɤɪɢɬɢɱɟɫɤɢɯ ɫɜɨɣɫɬɜɚɯ ɮɪɚɤɰɢɣ ɚɜɬɨɪɵ ɩɪɟɞɥɚɝɚɸɬ ɢɫɩɨɥɶɡɨɜɚɬɶ

ɫɥɟɞɭɸɳɢɟ ɤɨɪɪɟɥɹɰɢɨɧɧɵɟ ɫɨɨɬɧɨɲɟɧɢɹ ɞɥɹ ɪɚɫɱɟɬɚ «ɢɫɬɢɧ-

ɧɵɯ» ɤɪɢɬɢɱɟɫɤɢɯ ɫɜɨɣɫɬɜ ɛɟɧɡɢɧɨɜɵɯ ɮɪɚɤɰɢɣ:

= 12,27776(U

)

0,2209

· (T

)

0,655815

; (12)

= 9857565(U

)

2,6138

· (T

)

-2,3897

· exp(0,1160D); (13)

U

= 7630,092(U

)

1,15

· (T

)

-0,52

, (14)

ɝɞɟ Ɋ

, Ɇɉɚ; U

, ɤɝ/ɦ

; D – ɭɝɨɥ ɧɚɤɥɨɧɚ ɤɪɢɜɨɣ ɪɚɡɝɨɧɤɢ ɩɨ ɗɧɝɥɟɪɭ

(D = (Ɍ

– Ɍ

)/80).

ȼ ɞɢɚɩɚɡɨɧɟ ɬɟɦɩɟɪɚɬɭɪ 0,9Ɍ

– 0,99Ɍ

ɨɲɢɛɤɢ ɪɚɫɱɟɬɚ ɩɥɨɬ-

ɧɨɫɬɢ ɞɥɹ ɞɜɟɧɚɞɰɚɬɢ ɥɟɝɤɢɯ ɮɪɚɤɰɢɣ ɫɨɫɬɚɜɢɥɢ: ɋɄɈ = 2,8 %;

ɋȺɈ = 2,1 %.

Ⱦɚɜɥɟɧɢɟ ɧɚɫɵɳɟɧɧɵɯ ɩɚɪɨɜ ɧɚ ɥɢɧɢɹɯ ɧɚɱɚɥɚ ɤɢɩɟɧɢɹ Ɋc

ɢ ɬɨɱɟɤ ɪɨɫɵ Ɋs. ɋɥɟɞɭɟɬ ɨɬɦɟɬɢɬɶ, ɱɬɨ ɜ ɥɢɬɟɪɚɬɭɪɟ ɩɪɚɤɬɢɱɟ-

ɫɤɢ ɨɬɫɭɬɫɬɜɭɸɬ ɲɢɪɨɤɨɞɢɚɩɚɡɨɧɧɵɟ ɞɚɧɧɵɟ ɨ Ɋc ɢ Ɋs, ɩɨɷɬɨɦɭ

ɩɪɟɞɥɚɝɚɟɦɵɟ ɡɞɟɫɶ ɭɪɚɜɧɟɧɢɹ ɪɟɤɨɦɟɧɞɭɸɬɫɹ ɞɥɹ ɨɰɟɧɨɱɧɵɯ ɪɚɫ-

ɱɟɬɨɜ. Ɍɟɦɩɟɪɚɬɭɪɧɚɹ ɡɚɜɢɫɢɦɨɫɬɶ ɨɩɢɫɵɜɚɟɬɫɹ ɭɪɚɜɧɟɧɢɟɦ ɜɢɞɚ:

0,8

ln( '/ ' ) ( 0,8) / ,

PP c

=τ− τ

(15)

ɝɞɟ c

= 9,327653; c

= 16,16218; c

= –129,2086; c

= –139,5549;

= 1401,412.

Ⱦɥɹ ɪɚɫɱɟɬɚ ɨɩɨɪɧɨɝɨ ɡɧɚɱɟɧɢɹ ɞɚɜɥɟɧɢɹ Ɋ'

0,8

ɩɪɢ ɬɟɦɩɟɪɚɬɭɪɟ

W = 0,8 ɩɪɟɞɥɚɝɚɟɬɫɹ ɫɥɟɞɭɸɳɟɟ ɭɪɚɜɧɟɧɢɟ:

ln(P'

0,8

) = c

+ c

[ln(T

) – (U

)ln(n

)] + c

+ c

D + c

Y, (16)

ɝɞɟ Y = {[(n

)

– 1]/[n

+ 0,4]} ·[(n

– U

)/M]; c

= –19,12808;

= 4,446168; c

= –1,2399827 ·10

-2

; c

= –2,218662; c

= 0,6705583;

= –137,51.

Ɍɟɦɩɟɪɚɬɭɪɧɚɹ ɡɚɜɢɫɢɦɨɫɬɶ ɞɚɜɥɟɧɢɹ ɧɚ ɥɢɧɢɢ ɬɨɱɟɤ ɪɨɫɵ Ɋ"

ɪɚɫɫɱɢɬɵɜɚɟɬɫɹ ɩɨ ɭɪɚɜɧɟɧɢɸ (17), ɧɨ ɜ ɤɚɱɟɫɬɜɟ ɨɩɨɪɧɨɣ ɬɟɦɩɟ-

ɪɚɬɭɪɵ ɩɪɢɧɹɬɨ ɡɧɚɱɟɧɢɟ W = 0,85.

228

СБОРНИК НАУЧНЫХ СТАТЕЙ

0,8

ln( "/ " ) (1 ) ( 0,85) / ,

PP X c

=+ω τ− τ

(17)

ɝɞɟ c

= 8,848362; c

= 38,94787; c

= –315,4668; c

= –2165,776;

= 18291,74.

Ⱦɚɜɥɟɧɢɟ ɜ ɨɩɨɪɧɨɣ ɬɨɱɤɟ Ɋ"

0,85

ɪɚɫɫɱɢɬɵɜɚɟɬɫɹ ɩɨ ɭɪɚɜɧɟ-

ɧɢɸ ɜɢɞɚ (11) ɫ ɤɨɷɮɮɢɰɢɟɧɬɚɦɢ: c

= –26,56512; c

= 5,428314;

= –2,158791 · 10

-2

; c

= 5,26349; c

= –0,1458249; c

= –52,15446.

ȼɟɥɢɱɢɧɚ ɋɄɈ ɞɥɹ Ɋ' ɜ ɞɢɚɩɚɡɨɧɟ ɬɟɦɩɟɪɚɬɭɪ 0,6 < W < 1,0 ɫɨ-

ɫɬɚɜɢɥɚ 8,9 %, ɚ ɞɥɹ Ɋ" ɜ ɞɢɚɩɚɡɨɧɟ ɬɟɦɩɟɪɚɬɭɪ 0,7 < W < 1,0 – 5,8 %.

Ȼɨɥɶɲɢɟ ɨɲɢɛɤɢ ɩɪɨɝɧɨɡɚ ɨɛɴɹɫɧɹɸɬɫɹ ɧɟ ɬɨɥɶɤɨ ɫɥɨɠɧɵɦ ɢ ɦɧɨ-

ɝɨɩɚɪɚɦɟɬɪɢɱɟɫɤɢɦ ɯɚɪɚɤɬɟɪɨɦ ɡɚɜɢɫɢɦɨɫɬɟɣ Ɋ' ɢ Ɋ", ɧɨ ɢ ɛɨɥɟɟ

ɜɵɫɨɤɨɣ ɩɨɝɪɟɲɧɨɫɬɶɸ ɨɩɪɟɞɟɥɟɧɢɹ ɷɬɢɯ ɜɟɥɢɱɢɧ ɩɨ ɪɟɡɭɥɶɬɚɬɚɦ

Ɋ-, U-, Ɍ- ɢ ɋ

-, Ɋ-, Ɍ-ɢɫɫɥɟɞɨɜɚɧɢɣ ɦɧɨɝɨɤɨɦɩɨɧɟɧɬɧɵɯ ɫɢɫɬɟɦ.

Ɋ-, U-, Ɍ-ɫɜɨɣɫɬɜɚ ɜ ɠɢɞɤɨɣ ɮɚɡɟ. Ⱦɥɹ ɪɚɫɱɟɬɚ ɩɥɨɬɧɨɫɬɢ ɠɢɞ-

ɤɨɣ ɮɚɡɵ ɢ ɞɪɭɝɢɯ ɩɪɨɢɡɜɨɞɧɵɯ ɫɜɨɣɫɬɜ ɩɪɢ U

t 2 ɢ Ɍ d 600 Ʉ

ɩɪɟɞɥɚɝɚɟɬɫɹ ɢɫɩɨɥɶɡɨɜɚɬɶ ɭɪɚɜɧɟɧɢɟ ɫɨɫɬɨɹɧɢɹ ɜɢɞɚ

P = K(W)U

+ L(W)U

, (18)

ɝɞɟ ɬɟɦɩɟɪɚɬɭɪɧɵɟ ɮɭɧɤɰɢɢ K(W) ɢ L(W) ɨɩɪɟɞɟɥɹɸɬɫɹ ɩɨ ɭɪɚɜɧɟ-

ɧɢɹɦ

() ()/ ( )

KKK k

τ= τ τ = τ

; (19)

() ()/ ( )

LLL l

τ= τ τ = τ

, (20)

ɝɞɟ ɩɪɢ Ɍ

ɪɫ

d 750 Ʉ, W

= 0,6; k

= 5,194997; k

= –11,56064;

= 9,482536; k

= –3,127349; l

= 0,6243408; l

= 0,838046;

= 1,007374; l

=1,081703.

Ɉɩɨɪɧɵɟ ɡɧɚɱɟɧɢɹ ɤɨɷɮɮɢɰɢɟɧɬɨɜ ɨɩɪɟɞɟɥɹɸɬɫɹ ɩɨ ɫɨɨɬɧɨ-

ɲɟɧɢɹɦ

K(W

)(U

)

= k

+ k

[(13 – K

)(10 – K

)] + k

Z; (21)

L(W

)(U

)

= l

+ l

[(13 – K

)(10 – K

)] + l

Z, (22)

229

АКТУАЛЬНЫЕ ВОПРОСЫ ИССЛЕДОВАНИЙ ПЛАСТОВЫХ СИСТЕМ МЕСТОРОЖДЕНИЙ УГЛЕВОДОРОДОВ

ɝɞɟ k

= 29,40516; k

= –0,3175597; k

= 2,186032; k

= 130,6964;

= –375,9973; l

= 1,075399; l

= 3,413777; l

= –212,4517.

Ⱦɥɹ ɩɨɜɵɲɟɧɢɹ ɬɨɱɧɨɫɬɢ ɩɪɨɝɧɨɡɧɵɯ ɪɚɫɱɟɬɨɜ ɪɟɤɨɦɟɧɞɭɟɬ-

ɫɹ ɩɪɨɢɡɜɨɞɢɬɶ ɤɨɪɪɟɤɬɢɪɨɜɤɭ ɡɧɚɱɟɧɢɣ ɤɨɷɮɮɢɰɢɟɧɬɨɜ ɭɪɚɜɧɟ-

ɧɢɹ (18) ɩɨ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɨɦɭ ɡɧɚɱɟɧɢɸ ɨɬɧɨɫɢɬɟɥɶɧɨɣ ɩɥɨɬɧɨ-

ɫɬɢ U

. ɋɤɨɪɪɟɤɬɢɪɨɜɚɧɧɵɟ ɡɧɚɱɟɧɢɹ ɤɨɷɮɮɢɰɢɟɧɬɨɜ ɨɩɪɟɞɟɥɹ-

ɸɬɫɹ ɩɨ ɫɨɨɬɧɨɲɟɧɢɹɦ K

’

= Kcor

, L

’

= Lcor

, cor = 1000U

ɪɚɫɱ.

ɝɞɟ U

ɪɚɫɱ.

– ɡɧɚɱɟɧɢɟ ɩɥɨɬɧɨɫɬɢ ɩɪɢ ɚɬɦɨɫɮɟɪɧɨɦ ɞɚɜɥɟɧɢɢ (ɤɝ/ɦ

)

ɢ ɬɟɦɩɟɪɚɬɭɪɟ Ɍ

= 293,15 Ʉ, ɪɚɫɫɱɢɬɚɧɧɨɟ ɩɨ ɭɪɚɜɧɟɧɢɸ (18) ɛɟɡ

ɤɨɪɪɟɤɬɢɪɨɜɤɢ ɤɨɷɮɮɢɰɢɟɧɬɨɜ. Ɋɟɡɭɥɶɬɚɬɵ ɬɟɫɬɢɪɨɜɚɧɢɹ ɭɪɚɜɧɟ-

ɧɢɹ (18) ɩɪɟɞɫɬɚɜɥɟɧɵ ɜ ɬɚɛɥ. 1.

Таблица 1

Средние квадратичные и средние арифметические отклонения результатов расчета

плотности по обобщенному уравнению состояния (18)

Вещество, источник Число

веществ

Число

точек

Ошибки расчета, %

СКО САО

Нефти и нефтяные фракции [1,2,5] 146 3951 0,40 0,24

Фракции газоконденсатов [8] 3 80 0,98 0,68

Газоконденсаты и фракции [12] 12 392 0,75 0,52

Газоконденсаты и фракции [9] 26 855 0,69 0,49

Газоконденсаты и фракции [13] 19 1132 1,04 0,68

Газоконденсаты и фракции [8, 9, 12, 13] 60 2459 0,85 0,58

ɂɡɨɛɚɪɧɚɹ ɬɟɩɥɨɟɦɤɨɫɬɶ ɧɚ ɥɢɧɢɢ ɧɚɫɵɳɟɧɢɹ. Ⱦɥɹ ɩɪɨɝɧɨɡ-

ɧɵɯ ɪɚɫɱɟɬɨɜ ɋ

ɜ ɠɢɞɤɨɣ ɮɚɡɟ ɩɪɢ ɚɬɦɨɫɮɟɪɧɨɦ ɞɚɜɥɟɧɢɢ ɥɢɛɨ ɧɚ

ɥɢɧɢɢ ɧɚɫɵɳɟɧɢɹ ɩɪɢ W d 0,85 ɩɪɟɞɥɚɝɚɟɬɫɹ ɭɪɚɜɧɟɧɢɟ ɜɢɞɚ:

U'ɋ

= ɫ

+ ɫ

+ [c

+ c

(1 – W)

+ ɫ

+ c

(1 – W)

]/(1 + Z), (23)

ɝɞɟ 'ɋ

= ɋ

– ɋ

, ɤȾɠ·ɤɝ

-1

·Ʉ

-1

; c

= 183,914; c

= –414,326;

= 163,442; c

= 893,999; c

= 593,666; c

= 2370,43.

Ɂɧɚɱɟɧɢɹ ɩɥɨɬɧɨɫɬɢ U ɪɚɫɫɱɢɬɵɜɚɸɬɫɹ ɩɨ ɭɪɚɜɧɟɧɢɸ (4),

ɚ ɢɞɟɚɥɶɧɨ-ɝɚɡɨɜɚɹ ɬɟɩɥɨɟɦɤɨɫɬɶ ɦɨɠɟɬ ɛɵɬɶ ɨɩɪɟɞɟɥɟɧɚ ɩɨ ɭɪɚɜ-

ɧɟɧɢɸ Ʉɟɫɥɟɪɚ ɢ Ʌɢ [16]. Ɉɲɢɛɤɢ ɪɚɫɱɟɬɚ ɋ

ɩɨ ɭɪɚɜɧɟɧɢɸ (23)

ɫɨɫɬɚɜɢɥɢ: ɋɄɈ = 1,9 %, ɋȺɈ = 1,4 % (ɬɟɫɬɢɪɨɜɚɧɢɟ ɩɪɨɜɟɞɟ-

ɧɨ ɞɥɹ 240 ɜɟɳɟɫɬɜ ɛɟɡ ɨɝɪɚɧɢɱɟɧɢɣ ɩɨ ɭɝɥɟɜɨɞɨɪɨɞɧɨɦɭ ɫɨɫɬɚ-

ɜɭ ɫɦɟɫɟɣ). Ⱦɥɹ ɥɟɝɤɢɯ ɝɚɡɨɤɨɧɞɟɧɫɚɬɧɵɯ ɢ ɧɟɮɬɹɧɵɯ ɮɪɚɤɰɢɣ

230

СБОРНИК НАУЧНЫХ СТАТЕЙ

(Ɍ

d 450 K) ɩɪɨɝɧɨɡɧɵɟ ɪɚɫɱɟɬɵ ɬɟɩɥɨɟɦɤɨɫɬɢ ɧɚ ɥɢɧɢɢ ɧɚɱɚɥɚ

ɤɢɩɟɧɢɹ ɋ'

ɢ ɥɢɧɢɢ ɬɨɱɟɤ ɪɨɫɵ ɋ"

ɜɩɥɨɬɶ ɞɨ 0,99Ɍ

ɦɨɝɭɬ ɛɵɬɶ

ɜɵɩɨɥɧɟɧɵ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɫɥɟɞɭɸɳɢɯ ɫɨɨɬɧɨɲɟɧɢɣ:

'ɋ'

= c

+ c

Z + c

(1 + Z)(1 – W)

+ c

(1 + Z)W +

+ c

(1 – W)

-0,8

exp[c

(1/W – 1)], (24)

ɝɞɟ Ĳ = Ɍ/Ɍ

; ɫ

= –30,0334; c

= 32,2544; c

= 174,099; c

= 75,6304;

= 11,01534; c

= –13,974; 'C'

, ɤȾɠ·ɤɦɨɥɶ

-1

·Ʉ

-1

0,5 ( )

(1 ) (1 ) exp (1 / 1)

Cc c

−τ

ªº

Δ= −τ −ω τ−

«»

¬¼

, (25)

ɝɞɟ F(W) = –6,6{1 – exp[–0,1/(1 – W)]}; c

= 2,0379; c

= –21,62356;

= 49,05584;c

= –51,04731; 'ɋ"

, ɤȾɠ·ɤɦɨɥɶ

-1

·Ʉ

-1

ɋɪɟɞɧɢɟ ɤɜɚɞɪɚɬɢɱɧɵɟ ɨɲɢɛɤɢ ɪɚɫɱɟɬɚ ɋ

ɩɨ ɭɪɚɜɧɟɧɢɹɦ (24)

ɢ (25) ɞɥɹ ɫɟɦɢ ɢɫɫɥɟɞɨɜɚɧɧɵɯ ɮɪɚɤɰɢɣ ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ ɫɨɫɬɚɜɢɥɢ

1,20 ɢ 1,74 % ɩɪɢ ɦɚɤɫɢɦɚɥɶɧɵɯ ɨɬɤɥɨɧɟɧɢɹɯ 3,40 ɢ 3,78 %.

ɗɧɬɚɥɶɩɢɹ ɢ ɷɧɬɪɨɩɢɹ ɧɚ ɥɢɧɢɢ ɧɚɫɵɳɟɧɢɹ. ɉɪɟɞɫɬɚɜɥɟɧɧɵɟ

ɭɪɚɜɧɟɧɢɹ ɩɨɥɭɱɟɧɵ ɩɭɬɟɦ ɨɛɨɛɳɟɧɢɹ ɚɜɬɨɪɫɤɢɯ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶ-

ɧɵɯ ɞɚɧɧɵɯ ɨ ɫɜɨɣɫɬɜɚɯ ɫɟɦɢ ɢɫɫɥɟɞɨɜɚɧɧɵɯ ɛɟɧɡɢɧɨɜɵɯ ɮɪɚɤɰɢɣ.

ɗɧɬɚɥɶɩɢɹ H' ɢ ɷɧɬɪɨɩɢɹ S' ɧɚ ɥɢɧɢɢ ɧɚɱɚɥɚ ɤɢɩɟɧɢɹ ɜ ɞɢɚɩɚɡɨɧɟ

ɬɟɦɩɟɪɚɬɭɪ 0,55 d W d 1,0 ɪɚɫɫɱɢɬɵɜɚɸɬɫɹ ɩɨ ɭɪɚɜɧɟɧɢɹɦ:

[(H

– H

) – (H' – H

)]/RT

= h

(1 – W) + h

(1 – W)

+ h

(1 – W)

+ Z[h

(1 – W) + h

(1 – W)

+ h

(1 – W)

], (26)

ɝɞɟ h

= 0,34384; h

= –2,3010; h

= 4,1444; E

= 0,442; h

= –4,5433;

= 20,3731; h

= 6,6264; E

= 0,403; (H

– H

)/RT

= 5,5944 –

– 10,0581Z + 23,67Z

;

[(S

– S

) – (S' – S

)]/R = s

(1 – W)/W + s

(1 – W)

/W + s

(1 – W)

/W +

+ Z[s

(1 – W)/W + s

(1 – W)

/W + s

(1 – W)

/W], (27)

ɝɞɟ s

= 2,03515; s

= –6,001; h

= 2,26998; E

= 0,332; s

= –9,5620;

= 14,830; s

= 9,25085; E

= 0,409; (S

– S

)/R = 7,5259 – 19,4864Z

+ 42,21Z

; H

, S

, – ɡɧɚɱɟɧɢɹ ɷɧɬɚɥɶɩɢɢ ɢ ɷɧɬɪɨɩɢɢ ɜ ɤɪɢɬɢɱɟɫɤɨɣ

ɬɨɱɤɟ.