
Заканчивание / Книга_заканчивание скважин
.pdfȼɚɠɧɟɣɲɟɣ ɯɚɪɚɤɬɟɪɢɫɬɢɤɨɣ ɩɨɜɟɪɯɧɨɫɬɢ ɪɚɡɞɟɥɚ ɮɚɡ ɹɜɥɹɟɬɫɹ ɩɨɜɟɪɯɧɨɫɬɧɨɟ ɧɚɬɹɠɟɧɢɟ. ɂɡɜɟɫɬɧɨ, ɱɬɨ ɩɨɜɟɪɯɧɨɫɬɧɨɟ ɧɚɬɹɠɟɧɢɟ ɧɚ ɝɪɚɧɢɰɟ ɠɢɞɤɨɫɬɶ - ɝɚɡ ɡɚɜɢɫɢɬ ɨɬ ɦɧɨɝɢɯ ɮɚɤɬɨɪɨɜ: ɯɢɦɢɱɟɫɤɨɝɨ ɫɨɫɬɚɜɚ ɠɢɞɤɨɫɬɢ ɢ ɝɚɡɚ, ɬɟɦɩɟɪɚɬɭɪɵ, ɞɚɜɥɟɧɢɹ ɢ ɞɪ. ɮɚɤɬɨɪɨɜ. ɋ ɭɜɟɥɢɱɟɧɢɟɦ ɬɟɦɩɟɪɚɬɭɪɵ ɢ ɞɚɜɥɟɧɢɹ ɩɨɜɟɪɯɧɨɫɬɧɨɟ ɧɚɬɹɠɟɧɢɟ ɭɦɟɧɶɲɚɟɬɫɹ. ɋɥɨɠɧɟɟ ɯɚɪɚɤɬɟɪ ɢɡɦɟɧɟɧɢɹ ɩɨɜɟɪɯɧɨɫɬɧɨɝɨ ɧɚɬɹɠɟɧɢɹ ɧɚ ɝɪɚɧɢɰɟ ɧɟɮɬɶ - ɠɢɞɤɨɫɬɶ. ȿɫɥɢ ɧɟɮɬɶ ɞɟɝɚɡɢɪɨɜɚɧɚ ɢ ɩɨɱɬɢ ɧɟ ɫɨɞɟɪɠɢɬ ɩɨɥɹɪɧɵɯ ɤɨɦɩɨɧɟɧɬɨɜ, ɟɟ ɩɨɜɟɪɯɧɨɫɬɧɨɟ ɧɚɬɹɠɟɧɢɟ ɧɚ ɝɪɚɧɢɰɟ ɫ ɜɨɞɨɣ ɩɪɚɤɬɢɱɟɫɤɢ ɧɟ ɡɚɜɢɫɢɬ ɨɬ ɬɟɦɩɟɪɚɬɭɪɵ ɢ ɞɚɜɥɟɧɢɹ. ȿɫɥɢ ɠɟ ɜ ɧɟɮɬɢ ɫɨɞɟɪɠɚɬɫɹ ɩɨɥɹɪɧɵɟ ɤɨɦɩɨɧɟɧɬɵ, ɪɚɫɬɜɨɪɢɦɵɟ ɜ ɜɨɞɟ, ɬɨ ɫ ɪɨɫɬɨɦ ɞɚɜɥɟɧɢɹ ɢ ɬɟɦɩɟɪɚɬɭɪɵ ɩɨɜɟɪɯɧɨɫɬɧɨɟ ɧɚɬɹɠɟɧɢɟ ɟɟ ɧɚ ɝɪɚɧɢɰɟ ɫ ɜɨɞɨɣ ɦɨɠɟɬ ɭɜɟɥɢɱɢɜɚɬɶɫɹ. ɉɪɢ ɧɚɥɢɱɢɢ ɪɚɫɬɜɨɪɢɦɵɯ ɝɚɡɨɜ ɡɚɜɢɫɢɦɨɫɬɶ ɭɫɥɨɠɧɹɟɬɫɹ.
ɇɟɩɨɫɪɟɞɫɬɜɟɧɧɨ ɢɡɦɟɪɢɬɶ ɩɨɜɟɪɯɧɨɫɬɧɨɟ ɧɚɬɹɠɟɧɢɟ ɧɚ ɩɨɜɟɪɯɧɨɫɬɢ ɬɜɟɪɞɨɝɨ ɬɟɥɚ ɬɪɭɞɧɨ. ȼ ɷɬɨɦ ɫɥɭɱɚɟ ɩɨɜɟɪɯɧɨɫɬɧɨɟ ɧɚɬɹɠɟɧɢɟ ɨɰɟɧɢɜɚɟɬɫɹ ɤɨɫɜɟɧɧɨ - ɩɭɬɟɦ ɢɡɦɟɧɟɧɢɹ ɤɪɚɟɜɨɝɨ ɭɝɥɚ ɫɦɚɱɢɜɚɧɢɹ, ɤɨɬɨɪɵɣ ɬɚɤɠɟ ɫɥɭɠɢɬ ɢ ɦɟɪɨɣ ɫɦɚɱɢɜɚɧɢɹ ɠɢɞɤɨɫɬɶɸ ɩɨɜɟɪɯɧɨɫɬɢ ɬɜɟɪɞɨɝɨ ɬɟɥɚ. ɉɨɜɟɪɯɧɨɫɬɶ ɬɜɟɪɞɨɝɨ ɬɟɥɚ ɫɦɚɱɢɜɚɟɬɫɹ ɬɟɦ ɥɭɱɲɟ, ɱɟɦ ɦɟɧɶɲɟ ɪɚɡɧɨɫɬɶ ɩɨɥɹɪɧɨɫɬɟɣ ɦɟɠɞɭ ɬɟɥɨɦ ɢ ɠɢɞɤɨɫɬɶɸ. ȼɵɫɨɤɨɩɨɥɹɪɧɵɟ ɠɢɞɤɨɫɬɢ, ɬ.ɟ. ɨɛɥɚɞɚɸɳɢɟ ɜɵɫɨɤɢɦ ɩɨɜɟɪɯɧɨɫɬɧɵɦ ɧɚɬɹɠɟɧɢɟɦ, ɫɦɚɱɢɜɚɸɬ ɬɜɟɪɞɭɸ ɩɨɜɟɪɯɧɨɫɬɶ ɯɭɠɟ, ɱɟɦ ɦɚɥɨɩɨɥɹɪɧɵɟ. ɇɚɩɪɢɦɟɪ, ɪɬɭɬɶ ɫɦɚɱɢɜɚɟɬ ɥɢɲɶ ɧɟɤɨɬɨɪɵɟ ɦɟɬɚɥɥɵ, ɬɨɝɞɚ ɤɚɤ ɦɟɧɟɟ ɩɨɥɹɪɧɚɹ ɠɢɞɤɨɫɬɶ - ɜɨɞɚ - ɫɦɚɱɢɜɚɟɬ ɧɟ ɬɨɥɶɤɨ ɦɟɬɚɥɥɵ, ɧɨ ɢ ɦɧɨɝɢɟ ɞɪɭɝɢɟ ɦɢɧɟɪɚɥɵ, ɚ ɦɚɥɨ ɩɨɥɹɪɧɵɟ ɦɚɫɥɚ - ɜɫɟ ɬɜɟɪɞɵɟ ɬɟɥɚ.
ȼɟɥɢɱɢɧɚ ɭɝɥɚ ɫɦɚɱɢɜɚɧɢɹ ɡɚɜɢɫɢɬ ɨɬ ɦɧɨɝɢɯ ɮɚɤɬɨɪɨɜ. Ɉɫɨɛɟɧɧɨ ɛɨɥɶɲɨɟ ɜɥɢɹɧɢɟ ɧɚ ɧɟɟ ɨɤɚɡɵɜɚɟɬ ɩɪɨɰɟɫɫɵ ɚɞɫɨɪɛɰɢɢ. ɇɚɩɪɢɦɟɪ, ɨɛɪɚɛɨɬɤɨɣ ɉȺȼ ɦɨɠɧɨ ɡɧɚɱɢɬɟɥɶɧɨ ɭɜɟɥɢɱɢɬɶ ɫɦɚɱɢɜɚɟɦɨɫɬɶ ɢ ɧɚɨɛɨɪɨɬ ɭɦɟɧɶɲɢɬɶ.
ȼ ɩɟɪɢɨɞ ɜɫɤɪɵɬɢɹ ɩɪɨɞɭɤɬɢɜɧɨɝɨ ɩɥɚɫɬɚ ɢ ɜ ɩɟɪɢɨɞ ɨɫɜɨɟɧɢɹ ɝɪɚɧɢɰɵ ɪɚɡɞɟɥɚ ɮɚɡ ɧɟ ɨɫɬɚɸɬɫɹ ɫɬɚɛɢɥɶɧɵɦɢ: ɩɪɢ ɜɫɤɪɵɬɢɢ - ɧɟɮɬɶ ɨɬɬɟɫɧɹɟɬɫɹ ɨɬ ɫɤɜɚɠɢɧɵ, ɩɪɢ ɨɫɜɨɟɧɢɢ - ɧɚɨɛɨɪɨɬ. ɉɪɢ ɬɚɤɨɦ ɢɡɦɟɧɟɧɢɢ ɧɚɩɪɚɜɥɟɧɢɹ ɞɜɢɠɟɧɢɹ ɦɟɧɹɟɬɫɹ ɢ ɭɝɨɥ ɫɦɚɱɢɜɚɟɦɨɫɬɢ.
21

1.9.ɉɨɧɹɬɢɟ ɨ ɤɨɷɮɮɢɰɢɟɧɬɟ ɚɧɨɦɚɥɶɧɨɫɬɢ, ɢɧɞɟɤɫɟ ɞɚɜɥɟɧɢɹ ɩɨɝɥɨɳɟɧɢɹ ɢ ɩɨɪɨɜɨɦ ɞɚɜɥɟɧɢɢ.
ɉɨɞ ɤɨɷɮɮɢɰɢɟɧɬɨɦ ɚɧɨɦɚɥɶɧɨɫɬɢ (Ʉɚ) ɜ ɛɭɪɟɧɢɢ ɩɨɧɢɦɚɸɬ ɨɬɧɨɲɟɧɢɟ ɩɥɚɫɬɨɜɨɝɨ ɞɚɜɥɟɧɢɹ (Ɋɩɥ) ɧɚ ɝɥɭɛɢɧɟ zɩɥ ɤ ɞɚɜɥɟɧɢɸ ɫɬɨɥɛɚ ɩɪɟɫɧɨɣ ɜɨɞɵ ɬɚɤɨɣ ɠɟ ɜɵɫɨɬɵ:
Pɩɥ |
(1.10.) |
Kɚ Uɜ q zɩɥ |
ɂɧɞɟɤɫɨɦ ɞɚɜɥɟɧɢɹ ɩɨɝɥɨɳɟɧɢɹ ɧɚɡɵɜɚɸɬ ɨɬɧɨɲɟɧɢɟ ɞɚɜɥɟɧɢɹ (Ɋɩ) ɧɚ ɫɬɟɧɤɢ ɫɤɜɚɠɢɧɵ, ɩɪɢ ɤɨɬɨɪɨɦ ɜɨɡɧɢɤɚɟɬ ɩɨɝɥɨɳɟɧɢɟ ɩɪɨɦɵɜɨɱɧɨɣ ɠɢɞɤɨɫɬɢ, ɤ ɞɚɜɥɟɧɢɣ ɫɬɨɥɛɚ ɜɨɞɵ ɜɵɫɨɬɨɣ ɨɬ ɪɚɫɫɦɚɬɪɢɜɚɟɦɨɝɨ ɨɛɴɟɤɬɚ ɞɨ ɭɫɬɶɹ.
|
K n |
|
Pɩ |
|
|
|
Uɜ q zɩɥ |
||||
|
|
|
|||
ɉɨɞ ɝɪɚɞɢɟɧɬɨɦ |
ɩɥɚɫɬɨɜɨɝɨ |
ɞɚɜɥɟɧɢɹ gradPɩɥ ɢ ɝɪɚɞɢɟɧɬɨɦ ɞɚɜɥɟɧɢɹ |
|||
ɩɨɝɥɨɳɟɧɢɹ gradPɩ |
ɩɨɧɢɦɚɸɬ |
ɨɬɧɨɲɟɧɢɟ ɫɨɨɬɜɟɬɫɬɜɭɸɳɟɝɨ ɞɚɜɥɟɧɢɹ ɤ |
|||
ɝɥɭɛɢɧɟ ɡɚɥɟɝɚɧɢɹ ɪɚɫɫɦɚɬɪɢɜɚɟɦɨɝɨ ɩɥɚɫɬɚ: |
|||||
gradPɩɥ Pɩɥ |
zɩɥ , |
gradPɩ Pɩ zɩɥ |
22
2. ȼɋɄɊɕɌɂȿ ɉɊɈȾɍɄɌɂȼɇɕɏ ɉɅȺɋɌɈȼ ɉɊɂ ȻɍɊȿɇɂɂ
ȼɫɤɪɵɬɢɟ ɩɪɨɞɭɤɬɢɜɧɨɝɨ ɩɥɚɫɬɚ (ɪɚɡɜɟɞɵɜɚɟɦɨɝɨ ɢɥɢ ɷɤɫɩɥɭɚɬɚɰɢɨɧɧɨɝɨ ɨɛɴɟɤɬɚ) - ɷɬɨ ɨɩɟɪɚɰɢɢ, ɫɜɹɡɚɧɧɵɟ ɫ ɛɭɪɟɧɢɟɦ ɫɬɜɨɥɚ ɫɤɜɚɠɢɧɵ ɜ ɢɧɬɟɪɜɚɥɟ ɩɪɨɞɭɤɬɢɜɧɨɝɨ ɩɥɚɫɬɚ ɧɚ ɩɨɥɧɭɸ ɟɝɨ ɦɨɳɧɨɫɬɶ ɢɥɢ ɱɚɫɬɢɱɧɨ. ɉɪɨɰɟɫɫ ɛɭɪɟɧɢɹ ɜ ɩɪɨɞɭɤɬɢɜɧɨɦ ɩɥɚɫɬɟ ɢɦɟɟɬ ɨɩɪɟɞɟɥɟɧɧɭɸ ɫɩɟɰɢɮɢɤɭ. Ɉɧɚ ɫɨɫɬɨɢɬ ɜ ɬɨɦ, ɱɬɨ ɩɪɢ ɜɫɤɪɵɬɢɢ ɛɨɥɶɲɨɟ ɡɧɚɱɟɧɢɟ ɩɪɢɨɛɪɟɬɚɸɬ ɮɢɡɢɤɨ-ɯɢɦɢɱɟɫɤɢɟ ɩɪɨɰɟɫɫɵ, ɤɨɬɨɪɵɟ ɩɪɨɢɫɯɨɞɹɬ ɜ ɨɤɪɟɫɬɧɨɫɬɹɯ ɫɬɜɨɥɚ ɫɤɜɚɠɢɧɵ ɢ ɩɪɢɜɨɞɹɬ ɤ ɨɛɪɚɡɨɜɚɧɢɸ ɩɪɢɫɤɜɚɠɢɧɧɨɣ ɡɨɧɵ ɩɥɚɫɬɚ. ɉɪɢɫɤɜɚɠɢɧɧɨɣ ɡɨɧɨɣ ɩɥɚɫɬɚ ɧɚɡɵɜɚɸɬ ɧɟɤɨɬɨɪɵɣ ɨɛɴɟɦ ɩɨɫɥɟɞɧɟɝɨ, ɪɚɫɩɪɨɫɬɪɚɧɹɸɳɢɣɫɹ ɨɬ ɫɬɟɧɨɤ ɫɬɜɨɥɚ ɫɤɜɚɠɢɧɵ ɜ ɝɥɭɛɶ ɩɥɚɫɬɚ ɢ ɩɨɞɜɟɪɠɟɧɧɵɣ ɩɪɢ ɜɫɤɪɵɬɢɢ ɞɟɣɫɬɜɢɸ ɩɪɨɰɟɫɫɨɜ, ɧɚɪɭɲɚɸɳɢɯ ɩɟɪɜɨɧɚɱɚɥɶɧɨɟ ɦɟɯɚɧɢɱɟɫɤɨɟ ɢ ɮɢɡɢɤɨ-ɯɢɦɢɱɟɫɤɨɟ ɫɨɫɬɨɹɧɢɟ ɤɨɥɥɟɤɬɨɪɚ ɢ ɫɨɞɟɪɠɚɳɟɣɫɹ ɜ ɧɟɦ ɩɨɞɜɢɠɧɨɣ (ɠɢɞɤɨɣ ɢɥɢ ɝɚɡɨɨɛɪɚɡɧɨɣ) ɮɚɡɵ
[1].
Ɉɫɧɨɜɧɚɹ ɡɚɞɚɱɚ ɩɪɢ ɜɫɤɪɵɬɢɢ ɩɥɚɫɬɚ ɫɨɫɬɨɢɬ ɜ ɬɨɦ, ɱɬɨɛɵ ɧɟ ɞɨɩɭɫɬɢɬɶ ɫɭɳɟɫɬɜɟɧɧɨɝɨ ɧɚɪɭɲɟɧɢɹ ɟɫɬɟɫɬɜɟɧɧɵɯ ɫɜɨɣɫɬɜ ɢ ɫɨɫɬɨɹɧɢɹ ɝɨɪɧɨɣ ɩɨɪɨɞɵɤɨɥɥɟɤɬɨɪɚ ɢ ɩɪɚɜɢɥɶɧɨ ɡɚɞɚɬɶ ɜɟɥɢɱɢɧɭ ɡɚɝɥɭɛɥɟɧɢɹ ɜ ɩɥɚɫɬ. ȿɟ ɭɫɬɚɧɚɜɥɢɜɚɸɬ ɜ ɡɚɜɢɫɢɦɨɫɬɢ ɨɬ ɩɨɥɨɠɟɧɢɹ ɜɨɞɨɧɟɮɬɹɧɨɝɨ ɤɨɧɬɚɤɬɚ, ɛɥɢɡɨɫɬɢ ɩɨɞɨɲɜɟɧɧɵɯ ɜɨɞ ɢ ɬ.ɩ. ɉɪɢ ɛɭɪɟɧɢɢ ɜ ɩɪɨɞɭɤɬɢɜɧɨɣ ɬɨɥɳɟ ɞɨɥɠɧɚ ɛɵɬɶ ɨɛɟɫɩɟɱɟɧɚ ɬɚɤɚɹ ɝɥɭɛɢɧɚ ɜɫɤɪɵɬɢɹ, ɤɨɬɨɪɚɹ ɝɚɪɚɧɬɢɪɨɜɚɥɚ ɛɵ ɞɥɢɬɟɥɶɧɭɸ ɛɟɡɜɨɞɧɭɸ ɷɤɫɩɥɭɚɬɚɰɢɸ ɫɤɜɚɠɢɧɵ ɢ ɦɢɧɢɦɚɥɶɧɵɟ ɜ ɞɚɧɧɵɯ ɭɫɥɨɜɢɹɯ ɝɢɞɪɚɜɥɢɱɟɫɤɢɟ ɫɨɩɪɨɬɢɜɥɟɧɢɹ ɩɪɢ ɩɨɫɬɭɩɥɟɧɢɢ ɧɟɮɬɢ ɢɥɢ ɝɚɡɚ ɜ ɫɤɜɚɠɢɧɭ.
ȼ ɪɟɡɭɥɶɬɚɬɟ ɮɢɡɢɤɨ-ɯɢɦɢɱɟɫɤɨɝɨ ɢ ɮɢɡɢɤɨ-ɦɟɯɚɧɢɱɟɫɤɨɝɨ ɜɨɡɞɟɣɫɬɜɢɹ ɩɪɢ ɩɟɪɜɢɱɧɨɦ ɜɫɤɪɵɬɢɢ ɢɡɦɟɧɹɸɬɫɹ ɮɢɥɶɬɪɚɰɢɨɧɧɨ-ɟɦɤɨɫɬɧɵɟ ɫɜɨɣɫɬɜɚ ɩɨɪɨɞ-ɤɨɥɥɟɤɬɨɪɨɜ ɜ ɩɪɢɫɤɜɚɠɢɧɧɨɣ ɡɨɧɟ [2].
Ɏɢɡɢɤɨ-ɯɢɦɢɱɟɫɤɨɟ ɜɨɡɞɟɣɫɬɜɢɟ ɧɚ ɩɪɢɫɤɜɚɠɢɧɧɭɸ ɡɨɧɭ ɨɛɭɫɥɨɜɥɟɧɨ ɜɡɚɢɦɨɞɟɣɫɬɜɢɟɦ ɩɨɪɨɞ ɢ ɮɥɸɢɞɨɜ ɩɥɚɫɬɚ ɫ ɮɢɥɶɬɪɚɬɚɦɢ ɩɪɨɦɵɜɨɱɧɵɯ ɠɢɞɤɨɫɬɟɣ, ɩɨɫɪɟɞɫɬɜɨɦ ɞɟɣɫɬɜɢɹ ɚɞɫɨɪɛɰɢɨɧɧɵɯ, ɤɚɩɢɥɥɹɪɧɵɯ ɢ ɞɢɮɮɭɡɢɨɧɧɨɨɫɦɨɬɢɱɟɫɤɢɯ ɫɢɥ.
23
Ɏɢɡɢɤɨ-ɯɢɦɢɱɟɫɤɨɟ ɜɨɡɞɟɣɫɬɜɢɟ ɧɚ ɩɪɨɞɭɤɬɢɜɧɵɣ ɝɨɪɢɡɨɧɬ ɨɤɚɡɵɜɚɸɬ ɫɥɟɞɭɸɳɢɟ ɮɚɤɬɨɪɵ:
-ɪɚɡɝɪɭɡɤɚ ɝɨɪɧɨɝɨ ɦɚɫɫɢɜɚ ɜ ɪɟɡɭɥɶɬɚɬɟ ɪɚɡɛɭɪɢɜɚɧɢɹ (ɫɨɨɪɭɠɟɧɢɹ ɜɵɪɚɛɨɬɤɢ) ɩɪɨɞɭɤɬɢɜɧɨɝɨ ɩɥɚɫɬɚ;
-ɢɡɦɟɧɹɸɳɟɟɫɹ ɩɪɨɬɢɜɨɞɚɜɥɟɧɢɟ ɫɬɨɥɛɚ ɩɪɨɦɵɜɨɱɧɨɣ ɠɢɞɤɨɫɬɢ;
-ɤɨɥɶɦɚɬɚɰɢɹ ɩɨɪɨɜɨɝɨ ɩɪɨɫɬɪɚɧɫɬɜɚ ɞɢɫɩɟɪɫɧɨɣ ɮɚɡɨɣ ɩɪɨɦɵɜɨɱɧɵɯ ɠɢɞɤɨɫɬɟɣ ɢ ɱɚɫɬɢɰɚɦɢ ɜɵɛɭɪɟɧɧɨɣ ɩɨɪɨɞɵ;
-ɢɡɦɟɧɟɧɢɟ ɬɟɦɩɟɪɚɬɭɪɧɨɝɨ ɪɟɠɢɦɚ ɜ ɩɪɢɫɤɜɚɠɢɧɧɨɣ ɡɨɧɟ;
-ɝɢɞɪɨɞɢɧɚɦɢɱɟɫɤɨɟ ɢ ɦɟɯɚɧɢɱɟɫɤɨɟ ɜɨɡɞɟɣɫɬɜɢɟ ɧɚ ɩɨɪɨɞɵ ɪɚɡɛɭɪɢɜɚɟɦɨɝɨ ɩɥɚɫɬɚ ɞɜɢɠɭɳɢɦɫɹ ɛɭɪɨɜɵɦ ɢɧɫɬɪɭɦɟɧɬɨɦ.
ɉɪɢ ɷɬɨɦ ɫɥɟɞɭɟɬ ɨɬɦɟɬɢɬɶ, ɱɬɨ ɮɢɡɢɤɨ-ɯɢɦɢɱɟɫɤɢɟ ɩɪɨɰɟɫɫɵ, ɩɪɨɢɫɯɨɞɹɳɢɟ ɜ ɩɪɢɫɤɜɚɠɢɧɧɨɣ ɡɨɧɟ ɩɥɚɫɬɚ ɩɪɢ ɩɟɪɜɢɱɧɨɦ ɜɫɤɪɵɬɢɢ, ɹɜɥɹɸɬɫɹ ɫɥɟɞɫɬɜɢɟɦ ɮɢɡɢɤɨ-ɦɟɯɚɧɢɱɟɫɤɢɯ ɜɨɡɞɟɣɫɬɜɢɣ. ɇɚɩɪɢɦɟɪ, ɜɡɚɢɦɨɞɟɣɫɬɜɢɟ ɩɨɪɨɞ-ɤɨɥɥɟɤɬɨɪɨɜ ɫ ɮɢɥɶɬɪɚɬɨɦ ɩɪɨɦɵɜɨɱɧɨɣ ɠɢɞɤɨɫɬɢ ɨɛɭɫɥɨɜɥɟɧɨ ɩɪɨɧɢɤɧɨɜɟɧɢɟɦ ɩɨɫɥɟɞɧɟɝɨ ɜɧɭɬɪɶ ɩɨɪɨɜɨɝɨ ɩɪɨɫɬɪɚɧɫɬɜɚ, ɜɵɡɜɚɧɧɨɝɨ ɪɟɩɪɟɫɫɢɟɣ. ɂɥɢ ɜɵɩɚɞɟɧɢɟ ɨɫɚɞɤɨɜ ɜɧɭɬɪɢ ɩɨɪɨɜɨɝɨ ɩɪɨɫɬɪɚɧɫɬɜɚ ɢɡ ɧɚɫɵɳɚɸɳɢɯ ɟɝɨ ɠɢɞɤɨɫɬɟɣ ɢ ɝɚɡɨɜ ɦɨɠɟɬ ɛɵɬɶ ɫɩɪɨɜɨɰɢɪɨɜɚɧɨ ɢɡɦɟɧɟɧɢɟɦ ɬɟɦɩɟɪɚɬɭɪɧɨɝɨ ɪɟɠɢɦɚ ɩɪɢɫɤɜɚɠɢɧɧɨɣ ɡɨɧɵ.
2.1.ɗɥɟɦɟɧɬɵ ɬɟɨɪɢɢ ɮɢɥɶɬɪɚɰɢɢ
Ȼɭɪɟɧɢɟ ɧɟɮɬɹɧɵɯ ɢ ɝɚɡɨɜɵɯ ɫɤɜɚɠɢɧ ɧɟɢɡɛɟɠɧɨ ɫɨɩɪɨɜɨɠɞɚɟɬɫɹ ɪɚɡɥɢɱɧɵɦɢ ɮɢɡɢɤɨ-ɯɢɦɢɱɟɫɤɢɦɢ ɩɪɨɰɟɫɫɚɦɢ ɜɡɚɢɦɨɞɟɣɫɬɜɢɹ ɛɭɪɨɜɨɝɨ ɪɚɫɬɜɨɪɚ ɫɨ ɫɥɚɝɚɸɳɢɦɢ ɫɬɟɧɤɢ ɝɨɪɧɨɣ ɜɵɪɚɛɨɬɤɢ ɩɨɪɨɞɚɦɢ. Ʉ ɷɬɢɦ ɩɪɨɰɟɫɫɚɦ ɨɬɧɨɫɹɬɫɹ ɮɢɥɶɬɪɚɰɢɹ, ɞɢɮɮɭɡɢɹ, ɬɟɩɥɨɨɛɦɟɧ, ɤɚɩɢɥɥɹɪɧɚɹ ɩɪɨɩɢɬɤɚ ɢ ɞɪ. Ɉɞɢɧ ɢɡ ɧɚɢɛɨɥɟɟ ɫɭɳɟɫɬɜɟɧɧɵɯ ɩɪɨɰɟɫɫɨɜ ɜɡɚɢɦɨɞɟɣɫɬɜɢɹ ɛɭɪɨɜɨɝɨ ɪɚɫɬɜɨɪɚ ɫ ɨɤɪɭɠɚɸɳɢɦɢ ɫɤɜɚɠɢɧɭ ɩɨɪɨɞɚɦɢ - ɮɢɥɶɬɪɚɰɢɹ, ɤɨɬɨɪɚɹ ɨɩɪɟɞɟɥɹɟɬ ɜɨɡɧɢɤɧɨɜɟɧɢɟ ɩɨɝɥɨɳɟɧɢɣ ɛɭɪɨɜɨɝɨ ɪɚɫɬɜɨɪɚ ɢ ɧɟɮɬɟɝɚɡɨɜɨɞɨɩɪɨɹɜɥɟɧɢɣ, ɝɥɢɧɢɡɚɰɢɸ ɫɬɟɧɨɤ ɫɤɜɚɠɢɧɵ, ɤɨɥɶɦɚɬɚɰɢɸ ɩɪɢɫɬɜɨɥɶɧɨɣ ɡɨɧɵ ɩɪɨɞɭɤɬɢɜɧɵɯ ɩɥɚɫɬɨɜ, ɫɭɮɮɨɡɢɸ ɜ ɮɢɥɶɬɪɨɜɨɣ ɡɨɧɟ ɫɤɜɚɠɢɧɵ ɜ ɩɪɨɰɟɫɫɟ ɜɵɡɨɜɚ ɩɪɢɬɨɤɚ ɢ ɩɨɫɥɟɞɭɸɳɟɣ ɷɤɫɩɥɭɚɬɚɰɢɢ, ɪɚɡɭɩɥɨɬɧɟɧɢɟ ɢ ɧɚɛɭɯɚɧɢɟ ɝɥɢɧɢɫɬɵɯ ɨɬɥɨɠɟɧɢɣ
24
ɢ ɦɧɨɝɢɟ ɞɪɭɝɢɟ ɹɜɥɟɧɢɹ, ɫɭɳɟɫɬɜɟɧɧɨ ɜɥɢɹɸɳɢɟ ɧɚ ɤɚɱɟɫɬɜɨ ɡɚɤɚɧɱɢɜɚɧɢɹ ɫɤɜɚɠɢɧ. Ⱦɥɹ ɫɨɡɞɚɧɢɹ ɧɚɭɱɧɨ ɨɛɨɫɧɨɜɚɧɧɵɯ ɩɪɢɟɦɨɜ ɩɪɟɞɨɬɜɪɚɳɟɧɢɹ ɪɹɞɨɜ ɨɫɥɨɠɧɟɧɢɣ, ɞɨɫɬɢɠɟɧɢɹ ɷɮɮɟɤɬɢɜɧɵɯ ɪɟɡɭɥɶɬɚɬɨɜ ɩɪɢ ɜɫɤɪɵɬɢɢ ɢ ɨɫɜɨɟɧɢɢ ɩɥɚɫɬɨɜ, ɪɟɚɥɢɡɚɰɢɢ ɩɪɨɰɟɫɫɨɜ ɛɭɪɟɧɢɹ ɫ ɦɢɧɢɦɚɥɶɧɵɦɢ ɩɪɨɬɢɜɨɞɚɜɥɟɧɢɹɦɢ ɧɚ ɩɥɚɫɬɵ ɧɟɨɛɯɨɞɢɦɨ ɪɚɫɩɨɥɚɝɚɬɶ ɤɨɥɢɱɟɫɬɜɟɧɧɵɦɢ ɡɚɜɢɫɢɦɨɫɬɹɦɢ, ɨɩɢɫɵɜɚɸɳɢɦɢ ɞɜɢɠɟɧɢɟ ɠɢɞɤɨɫɬɟɣ ɢ ɝɚɡɨɜ ɜ ɩɥɚɫɬɚɯ, ɢɡɭɱɟɧɢɟ ɤɨɬɨɪɵɯ ɫɨɫɬɚɜɥɹɟɬ ɩɪɟɞɦɟɬ ɬɟɨɪɢɢ ɮɢɥɶɬɪɚɰɢɢ [4].
2.1.1. Ɂɚɤɨɧɵ ɮɢɥɶɬɪɚɰɢɢ ɠɢɞɤɨɫɬɟɣ ɢ ɝɚɡɨɜ.
Ⱦɜɢɠɟɧɢɟ ɠɢɞɤɨɫɬɟɣ ɜ ɩɨɪɢɫɬɨɣ ɫɪɟɞɟ ɧɚɡɵɜɚɸɬ ɮɢɥɶɬɪɚɰɢɟɣ. ɉɨɪɢɫɬɵɟ ɫɪɟɞɵ ɢɥɢ ɦɚɬɟɪɢɚɥɵ – ɷɬɨ ɬɜɟɪɞɵɟ ɬɟɥɚ, ɢɦɟɸɳɢɟ ɜ ɞɨɫɬɚɬɨɱɧɨ ɛɨɥɶɲɨɦ ɤɨɥɢɱɟɫɬɜɟ ɩɭɫɬɨɬɵ, ɯɚɪɚɤɬɟɪɧɵɟ ɪɚɡɦɟɪɵ ɤɨɬɨɪɵɯ ɦɚɥɵ ɩɨ ɫɪɚɜɧɟɧɢɸ ɫ ɪɚɡɦɟɪɚɦɢ ɬɟɥɚ. ɋɬɪɭɤɬɭɪɚ ɩɨɪɢɫɬɵɯ ɦɚɬɟɪɢɚɥɨɜ ɦɨɠɟɬ ɛɵɬɶ ɜɟɫɶɦɚ ɪɚɡɧɨɨɛɪɚɡɧɨɣ. Ɍɚɤ, ɫɚɦɵɟ ɦɚɥɵɟ ɩɭɫɬɨɬɵ, ɜ ɤɨɬɨɪɵɯ ɫɢɥɵ ɦɨɥɟɤɭɥɹɪɧɨɝɨ ɜɡɚɢɦɨɞɟɣɫɬɜɢɹ ɠɢɞɤɨɫɬɢ ɫ ɬɜɟɪɞɵɦɢ ɫɬɟɧɤɚɦɢ ɜɟɫɶɦɚ ɜɟɥɢɤɢ, ɧɚɡɵɜɚɸɬ ɦɨɥɟɤɭɥɹɪɧɵɦɢ ɩɨɪɚɦɢ. ɉɪɨɬɢɜɨɩɨɥɨɠɧɨɫɬɶɸ ɢɦ ɹɜɥɹɸɬɫɹ ɩɨɪɵ, ɜ ɤɨɬɨɪɵɯ ɞɜɢɠɟɧɢɟ ɠɢɞɤɨɫɬɢ ɥɢɲɶ ɜɟɫɶɦɚ ɧɟɡɧɚɱɢɬɟɥɶɧɨ ɡɚɜɢɫɢɬ ɨɬ ɜɡɚɢɦɨɞɟɣɫɬɜɢɹ ɫɨ ɫɬɟɧɤɚɦɢ, ɢ ɢɯ ɧɚɡɵɜɚɸɬ ɤɚɜɟɪɧɚɦɢ. ɉɨɥɨɫɬɢ, ɡɚɧɢɦɚɸɳɢɟ ɩɪɨɦɟɠɭɬɨɱɧɨɟ ɩɨɥɨɠɟɧɢɟ ɦɟɠɞɭ ɤɚɜɟɪɧɚɦɢ ɢ ɦɨɥɟɤɭɥɹɪɧɵɦɢ ɩɨɪɚɦɢ, ɧɚɡɵɜɚɸɬ ɩɪɨɫɬɨ ɩɨɪɚɦɢ. ɉɨɪɵ ɦɨɝɭɬ ɛɵɬɶ ɫɨɨɛɳɚɸɳɢɦɢɫɹ ɢ ɧɟɫɨɨɛɳɚɸɳɢɦɢɫɹ. ɉɟɪɜɵɟ ɨɛɪɚɡɭɸɬ ɚɤɬɢɜɧɨɟ ɩɨɪɨɜɨɟ ɩɪɨɫɬɪɚɧɫɬɜɨ, ɚ ɜɫɟ ɩɨɪɵ - ɨɛɳɟɟ ɩɨɪɨɜɨɟ ɩɪɨɫɬɪɚɧɫɬɜɨ.
ɇɚɢɛɨɥɟɟ ɜɚɠɧɚɹ ɯɚɪɚɤɬɟɪɢɫɬɢɤɚ ɩɨɪɢɫɬɵɯ ɦɚɬɟɪɢɚɥɨɜ – ɩɨɪɢɫɬɨɫɬɶ, ɬ.ɟ. ɞɨɥɹ ɨɛɴɟɦɚ, ɩɪɢɯɨɞɹɳɚɹɫɹ ɧɚ ɩɨɪɵ m:
m |
Vɩ |
, ɞ.ɟ., |
(2.1) |
|
|||
|
V |
|
25
ɝɞɟ Vɩ |
– |
ɨɛɴɟɦ ɩɨɪ; |
V |
– |
ɨɛɴɟɦ ɬɟɥɚ. |
ɉɪɢ ɷɬɨɦ ɩɨɪɢɫɬɨɫɬɶ ɦɨɠɧɨ ɬɚɤɠɟ ɪɚɡɞɟɥɢɬɶ ɧɚ ɚɤɬɢɜɧɭɸ ɢ ɚɛɫɨɥɸɬɧɭɸ ɢɥɢ ɩɨɥɧɭɸ.
ɉɨɪɢɫɬɨɫɬɶ ɢɡɦɟɪɹɟɬɫɹ ɪɚɡɥɢɱɧɵɦɢ ɫɩɨɫɨɛɚɦɢ. ɇɚɢɛɨɥɟɟ ɩɪɨɫɬɵɟ ɫɩɨɫɨɛɵ ɢɡɦɟɪɟɧɢɹ ɚɛɫɨɥɸɬɧɨɣ ɩɨɪɢɫɬɨɫɬɢ - ɩɪɹɦɨɣ, ɚ ɬɚɤɠɟ ɫɩɨɫɨɛ ɢɡɦɟɪɟɧɢɹ ɩɥɨɬɧɨɫɬɢ. ɉɨ ɩɟɪɜɨɦɭ ɫɩɨɫɨɛɭ ɢɡɦɟɪɹɸɬ ɨɛɴɟɦ ɨɛɪɚɡɰɚ, ɞɥɹ ɱɟɝɨ ɨɛɪɚɡɟɰ ɩɨɤɪɵɜɚɸɬ ɜɨɞɨɧɟɩɪɨɧɢɰɚɟɦɵɦ ɩɨɤɪɵɬɢɟɦ ɢ ɨɩɪɟɞɟɥɹɸɬ ɨɛɴɟɦ ɜɵɬɟɫɧɟɧɧɨɣ ɜɨɞɵ, ɚ ɡɚɬɟɦ, ɢɡɦɟɥɶɱɢɜ ɨɛɪɚɡɟɰ, ɢɡɦɟɪɹɸɬ ɨɛɴɟɦ ɬɜɟɪɞɨɣ ɮɚɡɵ. ɉɨ ɜɬɨɪɨɦɭ ɫɩɨɫɨɛɭ ɨɩɪɟɞɟɥɹɸɬ ɨɛɴɟɦ ɢ ɩɥɨɬɧɨɫɬɶ ɨɛɪɚɡɰɚ, ɚ ɡɚɬɟɦ ɨɛɴɟɦ ɢ
ɩɥɨɬɧɨɫɬɶ ɦɚɬɟɪɢɚɥɚ ɨɛɪɚɡɰɚ. Ɍɨɝɞɚ ɢɡ ɭɫɥɨɜɢɹ: |
|
|||
|
U0 V0 |
Uɦ Vɦ |
(2.2) |
|
ɢɦɟɟɦ: |
|
|
|
|
|
m 1 |
U0 |
, ɞ.ɟ. , |
(2.3) |
|
|
|||
|
|
Uɦ |
|
|
ɝɞɟ ȡ0, ȡɦ |
– ɩɥɨɬɧɨɫɬɶ ɨɛɪɚɡɰɚ, ɦɚɬɟɪɢɚɥɚ ɨɛɪɚɡɰɚ, ɤɝ/ɦ3; |
|
||
V0, Vɦ |
– ɨɛɴɟɦ ɨɛɪɚɡɰɚ, ɦɚɬɟɪɢɚɥɚ ɨɛɪɚɡɰɚ, ɦ3. |
|
Ⱦɥɹ ɢɡɦɟɪɟɧɢɹ ɚɤɬɢɜɧɨɣ ɩɨɪɢɫɬɨɫɬɢ ɨɛɵɱɧɨ ɢɫɩɨɥɶɡɭɸɬ ɦɟɬɨɞ ɧɚɝɧɟɬɚɧɢɹ ɪɬɭɬɢ ɢɥɢ ɩɪɨɩɢɬɤɢ ɜɨɞɨɣ. ɉɨ ɩɟɪɜɨɦɭ ɫɩɨɫɨɛɭ ɨɛɪɚɡɟɰ ɩɨɦɟɳɚɸɬ ɜ ɫɨɫɭɞ ɫ ɪɬɭɬɶɸ ɢ ɨɩɪɟɞɟɥɹɸɬ ɟɝɨ ɨɛɴɟɦ ɩɨ ɢɡɦɟɧɟɧɢɸ ɭɪɨɜɧɹ, ɬɚɤ ɤɚɤ ɪɬɭɬɶ ɧɟ ɫɦɚɱɢɜɚɟɬ ɨɛɪɚɡɟɰ. Ɂɚɬɟɦ ɭɜɟɥɢɱɢɜɚɸɬ ɞɚɜɥɟɧɢɟ ɜ ɫɨɫɭɞɟ, ɢ ɜɨɲɟɞɲɢɣ ɜ
26

ɨɛɪɚɡɟɰ ɨɛɴɟɦ ɪɬɭɬɢ ɨɩɪɟɞɟɥɹɟɬ ɨɛɴɟɦ ɚɤɬɢɜɧɨɝɨ ɩɨɪɨɜɨɝɨ ɩɪɨɫɬɪɚɧɫɬɜɚ. ɉɪɢ ɷɬɨɦ ɨɛɴɟɦɨɦ ɫɠɚɬɨɝɨ ɜɨɡɞɭɯɚ ɩɪɟɧɟɛɪɟɝɚɸɬ, ɱɬɨ ɹɜɥɹɟɬɫɹ ɧɟɞɨɫɬɚɬɤɨɦ ɦɟɬɨɞɚ. ɉɨ ɜɬɨɪɨɦɭ ɫɩɨɫɨɛɭ, ɲɢɪɨɤɨ ɪɚɫɩɪɨɫɬɪɚɧɟɧɧɨɦɭ ɜ ɧɟɮɬɹɧɨɣ ɩɪɨɦɵɲɥɟɧɧɨɫɬɢ, ɢɫɩɨɥɶɡɭɸɬ ɫɜɨɣɫɬɜɨ ɱɢɫɬɵɯ ɝɨɪɧɵɯ ɩɨɪɨɞ ɯɨɪɨɲɨ ɫɦɚɱɢɜɚɬɶɫɹ ɜɨɞɨɣ. Ɉɛɪɚɡɟɰ, ɢɡ ɤɨɬɨɪɨɝɨ ɨɬɤɚɱɚɥɢ ɜɨɡɞɭɯ, ɩɨɝɪɭɠɚɸɬ ɜ ɜɨɞɭ, ɢ ɩɪɢɦɟɪɧɨ ɱɟɪɟɡ ɧɟɞɟɥɸ ɟɝɨ ɚɤɬɢɜɧɨɟ ɩɨɪɨɜɨɟ ɩɪɨɫɬɪɚɧɫɬɜɨ ɰɟɥɢɤɨɦ ɡɚɩɨɥɧɹɟɬɫɹ ɜɨɞɨɣ.
Ɉɩɪɟɞɟɥɢɜ ɟɝɨ ɦɚɫɫɭ, ɩɨɥɭɱɢɦ:
m M'-Ɇ , ɞ.ɟ., (2.4) V Uɜ
ɝɞɟ Ɇc Ɇ – |
ɦɚɫɫɚ ɨɛɪɚɡɰɚ ɫ ɜɨɞɨɣ, ɦɚɫɫɚ ɜɨɞɵ, ɤɝ; |
|
V |
– |
ɨɛɴɟɦ ɨɛɪɚɡɰɚ ɫ ɜɨɞɨɣ, ɦ3; |
ȡɜ |
– |
ɩɥɨɬɧɨɫɬɶ ɜɨɞɵ, ɤɝ/ɦ3. |
ɉɨɪɢɫɬɨɫɬɶ ɞɥɹ ɪɚɡɥɢɱɧɵɯ ɦɚɬɟɪɢɚɥɨɜ ɤɨɥɟɛɥɟɬɫɹ ɜ ɞɨɫɬɚɬɨɱɧɨ ɲɢɪɨɤɢɯ ɩɪɟɞɟɥɚɯ (Ɍɚɛɥɢɰɚ 2.1).
Ɍɚɛɥɢɰɚ 2.1 – ɉɨɪɢɫɬɨɫɬɶ ɪɚɡɥɢɱɧɵɯ ɦɚɬɟɪɢɚɥɨɜ.
ɇɚɡɜɚɧɢɟ ɦɚɬɟɪɢɚɥɚ |
ɉɨɪɢɫɬɨɫɬɶ, |
|
ɞ.ɟ., |
|
0,08-0,38 |
ɉɟɫɱɚɧɢɤɢ |
|
|
0,04-0,10 |
ɂɡɜɟɫɬɧɹɤɢ |
|
|
0,03-0,48 |
Ƚɥɢɧɵ |
|
|
0,02-0,07 |
Ȼɟɬɨɧ |
|
|
0,37-0,49 |
Ʉɜɚɪɰɟɜɵɣ ɩɟɫɨɤ |
|
|
0,37-0,50 |
Ɋɵɯɥɵɟ ɩɟɫɤɢ |
|
|
|
27
Ⱦɥɹ ɪɟɚɥɶɧɵɯ ɩɥɚɫɬɨɜ-ɤɨɥɥɟɤɬɨɪɨɜ ɧɟɮɬɢ ɢ ɝɚɡɚ ɡɧɚɱɟɧɢɹ ɩɨɪɢɫɬɨɫɬɢ ɨɛɵɱɧɨ ɧɚɯɨɞɹɬɫɹ ɜ ɩɪɟɞɟɥɚɯ 0,15-0,22 ɫ ɜɨɡɦɨɠɧɵɦɢ ɨɬɤɥɨɧɟɧɢɹɦɢ ɜ ɬɭ ɢɥɢ ɞɪɭɝɭɸ ɫɬɨɪɨɧɭ.
ɉɨɬɨɤ ɠɢɞɤɨɫɬɢ, ɞɜɢɠɭɳɟɣɫɹ ɜ ɩɨɪɢɫɬɨɣ ɫɪɟɞɟ, ɦɨɠɧɨ ɯɚɪɚɤɬɟɪɢɡɨɜɚɬɶ ɟɝɨ ɨɛɴɟɦɧɵɦ ɪɚɫɯɨɞɨɦ Q, ɦ3/ɫ. ɉɪɢ ɷɬɨɦ ɨɬɧɨɲɟɧɢɟ ɟɝɨ ɤ ɩɥɨɳɚɞɢ
ɩɨɩɟɪɟɱɧɨɝɨ ɫɟɱɟɧɢɹ ɨɛɪɚɡɰɚ S, ɦ2 ɟɫɬɶ ɫɤɨɪɨɫɬɶ ɮɢɥɶɬɪɚɰɢɢ (ȣ): |
|
||
X |
Q |
, ɦ/ɫ. |
(2.5) |
|
S |
|
|
ɗɬɚ ɫɤɨɪɨɫɬɶ – ɮɢɤɬɢɜɧɚɹ ɜɟɥɢɱɢɧɚ, ɬɚɤ ɤɚɤ ɠɢɞɤɨɫɬɶ ɞɜɢɠɟɬɫɹ ɥɢɲɶ ɩɨ ɚɤɬɢɜɧɨɦɭ ɩɨɪɨɜɨɦɭ ɩɪɨɫɬɪɚɧɫɬɜɭ ɢ ɮɚɤɬɢɱɟɫɤɚɹ ɟɟ ɫɤɨɪɨɫɬɶ ɛɭɞɟɬ ɛɨɥɶɲɟ ȣ. ȿɫɥɢ ɩɥɨɳɚɞɶ ɩɪɨɫɜɟɬɨɜ ɜ ɫɟɱɟɧɢɢ ɩɨɪɢɫɬɨɣ ɫɪɟɞɵ ɨɛɨɡɧɚɱɢɬɶ ɱɟɪɟɡ Sɩ, ɦ2, ɬɨ ɮɚɤɬɢɱɟɫɤɚɹ ɫɤɨɪɨɫɬɶ ɛɭɞɟɬ ɪɚɜɧɚ:
Z |
X |
, ɦ/ ɫ, |
(2.6) |
|
n |
|
|
ɝɩɪɨɫɜɟɬɧɨɫɬɶ, ɞ.ɟ.;
ɞɟ
n |
Sɩ |
. |
(2.7) |
|
|||
|
S |
|
ɇɚɪɹɞɭ ɫ ɷɬɢɦ ɞɥɹ ɷɥɟɦɟɧɬɚɪɧɨɝɨ ɨɛɴɟɦɚ ɩɨɪɢɫɬɨɣ ɫɪɟɞɵ ɦɟɠɞɭ ɫɟɱɟɧɢɹɦɢ ɧɚ ɪɚɫɫɬɨɹɧɢɢ dɯ, ɱɟɪɟɡ ɤɨɬɨɪɵɣ ɩɪɨɬɟɤɥɨ ɤɨɥɢɱɟɫɬɜɨ ɠɢɞɤɨɫɬɢ dV:
(2.8)
ɢɦɟɟɦ ɫɨɨɬɧɨɲɟɧɢɟ:
m S dx Q dt, |
(2.9) |
ɢɥɢ
28
Z |
dx |
Q |
X |
, |
(2.10) |
|
dt |
m S |
n |
||||
|
|
|
ɬɨ ɟɫɬɶ
X |
n |
. |
(2.11) |
|
|||
|
Z |
|
ɋɥɟɞɨɜɚɬɟɥɶɧɨ, ɩɨɥɭɱɚɟɦ:
X |
Q |
(2.12) |
|
m |
Sɩ |
||
|
ɢɥɢ
m |
Sɩ |
, |
(2.13) |
|
|||
|
S |
|
ɬ.ɟ. ɨɬɧɨɲɟɧɢɟ ɩɥɨɳɚɞɢ ɩɪɨɫɜɟɬɨɜ ɤ ɩɥɨɳɚɞɢ ɫɟɱɟɧɢɹ ɨɛɪɚɡɰɚ ɪɚɜɧɨ ɩɨɪɢɫɬɨɫɬɢ. ɇɚ ɷɬɨɦ ɨɫɧɨɜɚɧɢɢ ɩɨɫɬɪɨɟɧɵ ɦɢɤɪɨɫɤɨɩɢɱɟɫɤɢɟ ɫɩɨɫɨɛɵ ɨɩɪɟɞɟɥɟɧɢɹ ɩɨɪɢɫɬɨɫɬɢ.
ȼ ɬɟɨɪɢɢ ɮɢɥɶɬɪɚɰɢɢ ɪɚɫɫɦɚɬɪɢɜɚɟɬɫɹ ɫɤɨɪɨɫɬɶ ɮɢɥɶɬɪɚɰɢɢ, ɞɥɹ ɤɨɬɨɪɨɣ ɩɨ ɪɟɡɭɥɶɬɚɬɚɦ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɢɫɫɥɟɞɨɜɚɧɢɣ ɭɫɬɚɧɚɜɥɢɜɚɸɬ ɦɚɬɟɦɚɬɢɱɟɫɤɢɟ ɦɨɞɟɥɢ ɬɟɱɟɧɢɹ. ɗɬɢ ɦɨɞɟɥɢ ɢɥɢ ɡɚɤɨɧɵ ɮɢɥɶɬɪɚɰɢɢ ɯɚɪɚɤɬɟɪɢɡɭɸɬ ɫɜɹɡɶ ɦɟɠɞɭ ɩɨɬɟɪɹɦɢ ɧɚɩɨɪɚ ɩɪɢ ɞɜɢɠɟɧɢɢ ɠɢɞɤɨɫɬɢ ɜ ɩɨɪɢɫɬɨɣ ɫɪɟɞɟ, ɟɟ ɫɜɨɣɫɬɜɚɦɢ ɢ ɩɚɪɚɦɟɬɪɚɦɢ ɠɢɞɤɨɫɬɟɣ.
Ɉɞɢɧ ɢɡ ɨɫɧɨɜɧɵɯ ɡɚɤɨɧɨɜ ɮɢɥɶɬɪɚɰɢɢ – ɡɚɤɨɧ Ⱦɚɪɫɢ, ɤɨɬɨɪɵɣ ɡɚɩɢɫɵɜɚɟɬɫɹ ɞɥɹ ɨɞɧɨɦɟɪɧɨɝɨ ɬɟɱɟɧɢɹ ɜ ɜɢɞɟ:
|
|
Q |
k |
§ p |
p |
|
|
z |
|
z |
|
· |
|
|
X |
S |
|
¨ 1 |
l |
2 |
J |
|
1 |
l |
2 |
¸, ɦ/ ɫ, |
(2.14) |
|
P |
|
|||||||||||
|
|
© |
|
|
|
|
|
¹ |
|
||||
ɝɞɟ k |
– ɤɨɷɮɮɢɰɢɟɧɬ ɩɪɨɧɢɰɚɟɦɨɫɬɢ ɩɨɪɢɫɬɨɣ ɫɪɟɞɵ, ɦ2; |
|
29
ȝ– ɜɹɡɤɨɫɬɶ ɮɢɥɶɬɪɭɸɳɟɣɫɹ ɠɢɞɤɨɫɬɢ, ɉɚ·ɫ;
p1, p2 |
– |
ɞɚɜɥɟɧɢɹ, ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ, ɜ ɫɟɱɟɧɢɹɯ 1 ɢ 2, ɨɬɫɬɨɹɳɢɯ ɧɚ |
|
|
ɪɚɫɫɬɨɹɧɢɢ l, ɦ ɞɪɭɝ ɨɬ ɞɪɭɝɚ, ɉɚ; |
z1, z2 |
– |
ɜɵɫɨɬɵ ɩɨɥɨɠɟɧɢɣ, ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ, ɫɟɱɟɧɢɣ 1 ɢ 2, ɦ. |
ȼ ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɨɣ ɮɨɪɦɟ ɞɥɹ ɨɞɧɨɦɟɪɧɨɝɨ ɮɢɥɶɬɪɚɰɢɨɧɧɨɝɨ ɩɨɬɨɤɚ ɢ ɩɪɢ ɩɪɟɧɟɛɪɟɠɟɧɢɢ ɫɢɥɚɦɢ ɬɹɠɟɫɬɢ ɡɚɤɨɧ Ⱦɚɪɫɢ ɢɦɟɟɬ ɜɢɞ:
X |
|
k |
dp |
|
k |
|
p2 |
p1 |
, |
(2.15) |
|||
P |
P |
x 2 |
|
||||||||||
|
|
|
|
dl |
|
|
x1 |
|
|||||
ɝɞɟ ɯ2-ɯ1=dl – ɪɚɫɫɬɨɹɧɢɟ ɦɟɠɞɭ ɫɟɱɟɧɢɹɦɢ 1 |
ɢ 2 ɜɞɨɥɶ ɨɫɢ ɚɛɫɰɢɫɫ, ɦ. |
||||||||||||
ȼ ɦɧɨɝɨɦɟɪɧɨɦ ɫɥɭɱɚɟ: |
|
|
|
|
|
|
|
|
|
|
|||
|
|
|
|
k |
gradp. |
|
|
|
|
|
|||
X |
|
|
|
|
|
(2.16) |
|||||||
|
|
|
|
|
|
|
|||||||
|
|
|
|
|
P |
|
|
|
|
|
|
|
Ɂɧɚɤ ɦɢɧɭɫ ɜ ɷɬɢɯ ɜɵɪɚɠɟɧɢɹɯ ɭɤɚɡɵɜɚɟɬ ɧɚ ɩɪɨɬɢɜɨɩɨɥɨɠɧɨɫɬɶ ɧɚɩɪɚɜɥɟɧɢɣ ɫɤɨɪɨɫɬɢ ɮɢɥɶɬɪɚɰɢɢ ɢ ɝɪɚɞɢɟɧɬɚ ɞɚɜɥɟɧɢɹ.
ȼ ɩɪɢɜɟɞɟɧɧɵɯ ɜɵɪɚɠɟɧɢɹɯ ɮɢɝɭɪɢɪɭɟɬ ɯɚɪɚɤɬɟɪɢɫɬɢɤɚ ɧɨɜɨɝɨ ɫɜɨɣɫɬɜɚ ɩɨɪɢɫɬɨɣ ɫɪɟɞɵ – ɤɨɷɮɮɢɰɢɟɧɬ ɩɪɨɧɢɰɚɟɦɨɫɬɢ, ɤɨɬɨɪɵɣ ɢɦɟɟɬ ɪɚɡɦɟɪɧɨɫɬɶ ɩɥɨɳɚɞɢ:
k |
>X@ >P@ >l@ |
ɦ ɫ-1 ɉɚ ɫ ɦ |
ɦ |
2 |
. |
(2.17) |
|
>p@ |
|
ɉɚ |
|
||||
|
|
|
|
|
30