КАЛИБРОВКА АЛГОРИТМА ПОЛЯРИЗАЦИОННО

ɄȺɅɂȻɊɈȼɄȺ ȺɅȽɈɊɂɌɆȺ ɉɈɅəɊɂɁȺɐɂɈɇɇɈ ɋɄɈɊȿɄɌɂɊɈȼȺɇɇɈɃ
ɌȿɆɉȿɊȺɌɍɊɕ ɋ ɂɋɉɈɅɖɁɈȼȺɇɂȿɆ ɇȺɁȿɆɇɕɏ
ɊȺȾɂɈɅɈɄȺɐɂɈɇɇɕɏ ȾȺɇɇɕɏ ɈȻ ɂɇɌȿɇɋɂȼɇɈɋɌɂ ɈɋȺȾɄɈȼ
Ⱥ.Ⱥ. Ɏɟɨɤɬɢɫɬɨɜ 1, Ʌ.Ⱥ. ɉɚɯɨɦɨɜ 1, Ɉ.Ȼ. Ɏɟɞɢɱɟɜ 1, Ⱥ.Ⱥ. Ɇɢɪɨɲɢɧ 1, ɘ.Ȼ. ɉɚɜɥɸɤɨɜ 2
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ɇɚɭɱɧɵɣ ɰɟɧɬɪ ɨɩɟɪɚɬɢɜɧɨɝɨ ɦɨɧɢɬɨɪɢɧɝɚ Ɂɟɦɥɢ (ɇɐ ɈɆɁ),
ɎȿȾȿɊȺɅɖɇɈȿ ɄɈɋɆɂɑȿɋɄɈȿ ȺȽȿɇɋɌȼɈ
127490, ɝ. Ɇɨɫɤɜɚ, ɭɥ. Ⱦɟɤɚɛɪɢɫɬɨɜ, ɜɥ.51, ɤɨɪɩ. 25.
E-mail: feoktistov@ntsomz.ru
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ɐɟɧɬɪɚɥɶɧɚɹ ɚɷɪɨɥɨɝɢɱɟɫɤɚɹ ɨɛɫɟɪɜɚɬɨɪɢɹ (ɐȺɈ),
ɊɈɋɄɈɆȽɂȾɊɈɆȿɌ
141700, ɝ. Ⱦɨɥɝɨɩɪɭɞɧɵɣ, ɭɥ. ɉɟɪɜɨɦɚɣɫɤɚɹ, 3.
E-mail: yupav@orm.mipt.ru
ɋɨɨɛɳɚɟɬɫɹ ɨ ɪɟɡɭɥɶɬɚɬɚɯ ɫɨɩɨɫɬɚɜɥɟɧɢɹ ɬɨɱɧɨɫɬɧɵɯ ɯɚɪɚɤɬɟɪɢɫɬɢɤ 7 ɜɚɪɢɚɧɬɨɜ ɊɋɌ ɚɥɝɨɪɢɬɦɚ ɨɰɟɧɤɢ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ ɧɚɞ ɬɟɪɪɢɬɨɪɢɟɣ Ɇɨɫɤɨɜɫɤɨɝɨ ɪɟɝɢɨɧɚ. ɉɪɢ ɷɬɨɦ ɢɫɩɨɥɶɡɨɜɚɧɵ ɞɚɧɧɵɟ ɦɧɨɝɨɤɚɧɚɥɶɧɨɝɨ ɫɤɚɧɢɪɭɸɳɟɝɨ ɦɢɤɪɨɜɨɥɧɨɜɨɝɨ ɪɚɞɢɨɦɟɬɪɚ SSM/I ɄȺ F15 Ɇɢɧɢɫɬɟɪɫɬɜɚ ɨɛɨɪɨɧɵ ɋɒȺ ɢ ɤɜɚɡɢɫɢɧɯɪɨɧɧɵɟ ɢɡɦɟɪɟɧɢɹ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ ɪɚɞɢɨɥɨɤɚɰɢɨɧɧɨɣ ɦɟɬɟɨɪɨɥɨɝɢɱɟɫɤɨɣ ɫɟɬɢ «Ɇɨɫɤɨɜɫɤɨɟ ɤɨɥɶɰɨ».
ȼɜɟɞɟɧɢɟ
ɋ 2002 ɝɨɞɚ ɜ ɇɚɭɱɧɨɦ ɰɟɧɬɪɟ ɨɩɟɪɚɬɢɜɧɨɝɨ ɦɨɧɢɬɨɪɢɧɝɚ Ɂɟɦɥɢ (ɇɐ ɈɆɁ) Ɏɟɞɟɪɚɥɶɧɨɝɨ ɤɨɫɦɢɱɟɫɤɨɝɨ ɚɝɟɧɬɫɬɜɚ ɜɟɞɭɬɫɹ ɪɚɛɨɬɵ ɩɨ ɫɨɡɞɚɧɢɸ ɫɢɫɬɟɦɵ ɨɩɟɪɚɬɢɜɧɨɝɨ ɦɨɧɢɬɨɪɢɧɝɚ ɡɨɧ ɨɫɚɞɤɨɜ, ɱɬɨ ɜɵɡɜɚɧɨ
ɩɨɝɨɞɧɵɦɢ ɢ ɤɥɢɦɚɬɢɱɟɫɤɢɦɢ ɚɧɨɦɚɥɢɹɦɢ ɩɨɫɥɟɞɧɢɯ ɥɟɬ, ɩɪɨɹɜɥɹɜɲɢɦɢɫɹ ɜ ɤɚɬɚɫɬɪɨɮɢɱɟɫɤɢɯ ɧɚɜɨɞɧɟɧɢɹɯ ɜɫɥɟɞɫɬɜɢɟ ɨɫɚɞɤɨɜ ɷɤɫɬɪɟɦɚɥɶɧɨɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ. ɂɫɩɨɥɶɡɭɸɬɫɹ ɞɚɧɧɵɟ ɦɧɨɝɨɤɚɧɚɥɶɧɵɯ ɦɢɤɪɨɜɨɥɧɨɜɵɯ ɫɤɚɧɢɪɭɸɳɢɯ ɪɚɞɢɨɦɟɬɪɨɜ (ɆɆɋɊ) SSM/I, ɭɫɬɚɧɨɜɥɟɧɧɵɯ ɧɚ ɛɨɪɬɭ ɚɦɟɪɢɤɚɧɫɤɢɯ ɜɨɟɧɧɵɯ ɦɟɬɟɨɪɨɥɨɝɢɱɟɫɤɢɯ ɂɋɁ F13, F14 ɢ F15 ɫɟɪɢɢ DMSP [1]. ȼ ɪɟɡɭɥɶɬɚɬɟ ɩɨɞɝɨɬɨɜɢɬɟɥɶɧɵɯ ɨɩɟɪɚɰɢɣ, ɜɵɩɨɥɧɟɧɧɵɯ ɜ 2002 ɝɨɞɭ, ɛɵɥɢ ɫɮɨɪɦɢɪɨɜɚɧɵ 8 ɦɚɫɫɢɜɨɜ ɞɚɧɧɵɯ ɆɆɋɊ SSM/I, ɫɨɞɟɪɠɚɳɢɯ ɦɚɬɟɪɢɚɥɵ ɦɢɤɪɨɜɨɥɧɨɜɨɣ ɫɴɟɦɤɢ ɬɟɪɪɢɬɨɪɢɢ Ɋɨɫɫɢɣɫɤɨɣ Ɏɟɞɟɪɚɰɢɢ ɢ ɫɨɩɪɟɞɟɥɶɧɵɯ ɝɨɫɭɞɚɪɫɬɜ, ɩɨɫɬɪɚɞɚɜɲɟɣ ɜ ɬɟɱɟɧɢɟ ɥɟɬɚ
2002 ɝɨɞɚ ɨɬ ɰɟɥɨɝɨ ɪɹɞɚ ɲɢɪɨɤɨ ɢɡɜɟɫɬɧɵɯ ɤɚɬɚɫɬɪɨɮɢɱɟɫɤɢɯ ɧɚɜɨɞɧɟɧɢɣ.
ȼ 2003 ɝɨɞɭ ɧɚɦɢ ɛɵɥɢ ɜɵɩɨɥɧɟɧɵ ɪɚɛɨɬɵ ɩɨ ɪɟɲɟɧɢɸ ɩɟɪɜɨɣ, ɤɚɱɟɫɬɜɟɧɧɨɣ, ɡɚɞɚɱɢ - ɨɛɧɚɪɭɠɟɧɢɹ ɡɨɧ ɢɧɬɟɧɫɢɜɧɵɯ ɨɫɚɞɤɨɜ ɛɟɡ ɤɨɥɢɱɟɫɬɜɟɧɧɨɣ ɨɰɟɧɤɢ ɢɯ ɢɧɬɟɧɫɢɜɧɨɫɬɢ [2,3].
ȼɬɨɪɨɣ ɷɬɚɩ ɪɚɛɨɬ ɛɵɥ ɩɪɨɜɟɞɟɧ ɜ 2004 ɝɨɞɭ. ɉɨɥɭɱɟɧɵ ɩɟɪɜɵɟ ɪɟɡɭɥɶɬɚɬɵ ɪɟɲɟɧɢɹ ɜɬɨɪɨɣ ɡɚɞɚɱɢ – ɤɨɥɢɱɟɫɬɜɟɧɧɨɣ - ɨɰɟɧɤɢ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ. Ɋɚɛɨɬɚ ɜɵɩɨɥɧɹɥɚɫɶ ɨɛɴɟɞɢɧɟɧɧɵɦɢ ɭɫɢɥɢɹɦɢ ɇɐ ɈɆɁ ɢ ɐȺɈ,
ɩɨɫɤɨɥɶɤɭ ɜ ɐȺɈ ɧɚɤɨɩɥɟɧ ɨɛɲɢɪɧɵɣ ɬɟɨɪɟɬɢɱɟɫɤɢɣ ɢ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɣ ɨɩɵɬ ɩɨ ɢɡɦɟɪɟɧɢɸ ɚɬɦɨɫɮɟɪɧɵɯ
ɨɫɚɞɤɨɜ ɪɚɞɢɨɥɨɤɚɰɢɨɧɧɵɦ ɫɩɨɫɨɛɨɦ. ȼ Ɇɨɫɤɨɜɫɤɨɦ ɪɟɝɢɨɧɟ ɜ ɬɟɱɟɧɢɟ ɛɨɥɟɟ 10 ɥɟɬ ɜ ɨɩɟɪɚɬɢɜɧɨɦ ɤɪɭɝɥɨɫɭɬɨɱɧɨɦ ɪɟɠɢɦɟ ɩɪɨɜɨɞɢɬɫɹ ɪɚɞɢɨɥɨɤɚɰɢɨɧɧɵɣ ɦɨɧɢɬɨɪɢɧɝ ɨɫɚɞɤɨɜ ɧɚ ɛɚɡɟ ɪɚɞɢɨɥɨɤɚɰɢɨɧɧɨɣ ɦɟɬɟɨɪɨɥɨɝɢɱɟɫɤɨɣ
ɫɟɬɢ “Ɇɨɫɤɨɜɫɤɨɟ ɤɨɥɶɰɨ”. Ɋɟɡɭɥɶɬɚɬɵ ɢɡɦɟɪɟɧɢɣ ɫɪɚɜɧɢɜɚɸɬɫɹ ɫ ɞɚɧɧɵɦɢ ɧɚɡɟɦɧɨɣ ɨɫɚɞɤɨɦɟɪɧɨɣ ɫɟɬɢ [4]. ɗɬɢ
ɞɚɧɧɵɟ ɹɜɥɹɸɬɫɹ ɢɞɟɚɥɶɧɵɦ ɢɫɬɨɱɧɢɤɨɦ ɧɚɡɟɦɧɵɯ ɞɚɧɧɵɯ ɞɥɹ ɨɬɪɚɛɨɬɤɢ ɚɥɝɨɪɢɬɦɨɜ ɨɰɟɧɤɢ ɢɧɬɟɧɫɢɜɧɨɫɬɢ
ɨɫɚɞɤɨɜ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɫɩɭɬɧɢɤɨɜɵɯ ɞɚɧɧɵɯ ɦɢɤɪɨɜɨɥɧɨɜɨɣ (Ɇȼ) ɨɛɥɚɫɬɢ ɫɩɟɤɬɪɚ.
ȼ ɞɚɧɧɨɣ ɪɚɛɨɬɟ ɫɨɨɛɳɚɟɬɫɹ ɨ ɩɟɪɜɵɯ ɪɟɡɭɥɶɬɚɬɚɯ ɚɛɫɨɥɸɬɧɨɣ ɤɚɥɢɛɪɨɜɤɢ 7 ɜɚɪɢɚɧɬɨɜ ɚɥɝɨɪɢɬɦɚ
ɩɨɥɹɪɢɡɚɰɢɨɧɧɨ ɫɤɨɪɪɟɤɬɢɪɨɜɚɧɧɨɣ ɬɟɦɩɟɪɚɬɭɪɵ (Polarization Corrected Temperature PCT), ɫ ɩɨɦɨɳɶɸ ɤɨɬɨɪɵɯ ɩɪɨɜɨɞɢɥɚɫɶ ɨɰɟɧɤɚ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ. ȼ ɪɚɛɨɬɟ ɢɫɩɨɥɶɡɨɜɚɥɢɫɶ ɞɚɧɧɵɟ (ɩɨ ɬɟɪɪɢɬɨɪɢɢ Ɇɨɫɤɨɜɫɤɨɝɨ ɪɟɝɢɨɧɚ) ɆɆɋɊ SSM/I, ɭɫɬɚɧɨɜɥɟɧɧɨɝɨ ɧɚ ɛɨɪɬɭ ɂɋɁ F15, ɢ ɤɜɚɡɢɫɢɧɯɪɨɧɧɵɟ ɢɡɦɟɪɟɧɢɹ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ ɪɚɞɢɨɥɨɤɚɰɢɨɧɧɨɣ ɦɟɬɟɨɪɨɥɨɝɢɱɟɫɤɨɣ ɫɟɬɢ “Ɇɨɫɤɨɜɫɤɨɟ ɤɨɥɶɰɨ”. Ⱥɧɚɥɢɡɢɪɨɜɚɥɚɫɶ ɫɢɬɭɚɰɢɹ, ɤɨɝɞɚ ɩɨɫɥɟ ɩɪɨɞɨɥɠɢɬɟɥɶɧɨɝɨ ɡɚɫɭɲɥɢɜɨɝɨ ɩɟɪɢɨɞɚ ɤ Ɇɨɫɤɜɟ ɩɪɢɛɥɢɡɢɥɫɹ ɰɢɤɥɨɧ, ɩɪɢɧɟɫɲɢɣ
ɨɫɚɞɤɢ ɷɤɫɬɪɟɦɚɥɶɧɨɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ. Ȼɵɥ ɫɮɨɪɦɢɪɨɜɚɧ ɤɜɚɡɢɫɢɧɯɪɨɧɧɵɣ ɦɚɫɫɢɜ ɦɚɬɟɪɢɚɥɨɜ ɫɴɟɦɤɢ
Ɇɨɫɤɨɜɫɤɨɝɨ ɪɟɝɢɨɧɚ, ɜɤɥɸɱɚɸɳɢɣ: (1) ɞɚɧɧɵɟ ɚɩɩɚɪɚɬɭɪɵ SSM/I ɂɋɁ F15 (ɜɪɟɦɹ ɫɴɟɦɤɢ ɬɟɪɪɢɬɨɪɢɢ
Ɇɨɫɤɨɜɫɤɨɝɨ ɪɟɝɢɨɧɚ - 23 ɢɸɧɹ 2002 ɝɨɞɚ, 22 ɱ. 52 ɦ. ɥɟɬɧɟɝɨ ɦɨɫɤɨɜɫɤɨɝɨ ɜɪɟɦɟɧɢ) ɢ (2) ɞɚɧɧɵɟ ɨɛ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɵɟ ɫ ɩɨɦɨɳɶɸ ɪɚɞɢɨɥɨɤɚɰɢɨɧɧɨɣ ɦɟɬɟɨɪɨɥɨɝɢɱɟɫɤɨɣ ɫɟɬɢ (ɜɪɟɦɹ ɫɴɟɦɤɢ -23
ɢɸɧɹ 2002 ɝɨɞɚ, 22 ɱ. 50 ɦ. ɥɟɬɧɟɝɨ ɦɨɫɤɨɜɫɤɨɝɨ ɜɪɟɦɟɧɢ.
1. ɉɨɫɬɚɧɨɜɤɚ ɡɚɞɚɱɢ
ɏɨɪɨɲɨ ɢɡɜɟɫɬɧɵ ɬɪɢ ɦɟɯɚɧɢɡɦɚ, ɜɥɢɹɸɳɢɟ ɧɚ ɮɨɪɦɢɪɨɜɚɧɢɟ ɢ ɬɪɚɧɫɮɨɪɦɚɰɢɸ ɭɯɨɞɹɳɟɝɨ ɬɟɩɥɨɜɨɝɨ Ɇȼ ɢɡɥɭɱɟɧɢɹ ɫɢɫɬɟɦɵ ɩɨɞɫɬɢɥɚɸɳɚɹ ɩɨɜɟɪɯɧɨɫɬɶ (ɉɉ) – ɚɬɦɨɫɮɟɪɚ, ɪɟɝɢɫɬɪɢɪɭɟɦɨɝɨ ɫɨɜɪɟɦɟɧɧɵɦɢ ɫɩɭɬɧɢɤɨɜɵɦɢ ɪɚɞɢɨɦɟɬɪɚɦɢ:
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1. ɇɟɱɟɪɧɨɬɚ (İ < 1) ɢ ɩɨɥɹɪɢɡɨɜɚɧɧɨɫɬɶ (İh  İv) ɢɡɥɭɱɚɬɟɥɶɧɨɣ ɫɩɨɫɨɛɧɨɫɬɢ ɉɉ.
2. Ɇɨɥɟɤɭɥɹɪɧɨɟ ɩɨɝɥɨɳɟɧɢɟ ɚɬɦɨɫɮɟɪɧɵɦɢ ɝɚɡɚɦɢ (ɝɥɚɜɧɵɦ ɨɛɪɚɡɨɦ O2 ɢ H2O ).
3. Ɋɚɫɫɟɹɧɢɟ ɢ ɩɨɝɥɨɳɟɧɢɟ ɧɚ ɠɢɞɤɢɯ ɢ ɤɪɢɫɬɚɥɥɢɱɟɫɤɢɯ ɝɢɞɪɨɦɟɬɟɨɪɚɯ.
Ⱦɥɹ ɬɨɝɨ ɱɬɨɛɵ ɤɨɥɢɱɟɫɬɜɟɧɧɨ ɨɰɟɧɢɜɚɬɶ ɤɚɤɨɣ-ɥɢɛɨ ɝɟɨɮɢɡɢɱɟɫɤɢɣ ɩɚɪɚɦɟɬɪ ɫɢɫɬɟɦɵ ɉɉɚɬɦɨɫɮɟɪɚ (ɜ ɬɨɦ ɱɢɫɥɟ ɢ ɨɫɚɞɤɢ), ɧɟɨɛɯɨɞɢɦɨ ɤɨɪɪɟɤɬɧɨ ɭɱɢɬɵɜɚɬɶ ɢɥɢ ɢɫɤɥɸɱɚɬɶ ɜɥɢɹɧɢɟ ɨɫɬɚɥɶɧɵɯ
ɦɟɯɚɧɢɡɦɨɜ.
Ⱥɥɝɨɪɢɬɦ ɭɱɟɬɚ ɜɥɢɹɧɢɹ ɩɟɪɜɵɯ ɞɜɭɯ ɩɪɟɞɥɨɠɟɧ ɜ 1984 ɝ. [5], ɭɫɩɟɲɧɨ ɪɚɡɜɢɜɚɟɬɫɹ [6-9] ɢ ɨɫɧɨɜɚɧ
ɧɚ ɮɭɧɞɚɦɟɧɬɚɥɶɧɨɦ ɩɨɧɹɬɢɢ ɊɋɌ (Polarization Corrected Temperature). ɗɬɨ ɫɬɚɥɨ ɜɨɡɦɨɠɧɵɦ ɛɥɚɝɨɞɚɪɹ
ɜɵɫɨɤɨɣ ɤɨɪɪɟɥɹɰɢɢ ɪɚɞɢɨɹɪɤɨɫɬɧɵɯ ɬɟɦɩɟɪɚɬɭɪ ɧɚ ɞɜɭɯ ɩɨɥɹɪɢɡɚɰɢɹɯ ɜ ɤɚɧɚɥɟ 85 ȽȽɰ ɛɨɥɶɲɢɧɫɬɜɚ
ɡɟɦɧɵɯ ɥɚɧɞɲɚɮɬɨɜ.
Ɍɪɟɬɢɣ ɦɟɯɚɧɢɡɦ ɢɡɭɱɟɧ ɝɨɪɚɡɞɨ ɫɥɚɛɟɟ ɩɟɪɜɵɯ ɞɜɭɯ, ɜɟɫɶɦɚ ɫɥɨɠɟɧ ɢ ɢɝɪɚɟɬ ɤɥɸɱɟɜɭɸ ɪɨɥɶ ɜ ɡɚɞɚɱɟ ȾɁ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ ɜ Ɇȼ ɨɛɥɚɫɬɢ ɫɩɟɤɬɪɚ. ɍɱɢɬɵɜɚɹ ɩɨɫɥɟɞɧɟɟ ɨɛɫɬɨɹɬɟɥɶɫɬɜɨ, ɰɟɥɟɫɨɨɛɪɚɡɧɨ
ɨɫɬɚɧɨɜɢɬɶɫɹ ɧɚ ɷɬɨɦ ɦɟɯɚɧɢɡɦɟ ɩɨɞɪɨɛɧɟɟ.
Ɉɫɧɨɜɧɵɟ ɭɪɚɜɧɟɧɢɹ ɩɟɪɟɧɨɫɚ ɜ ɞɢɚɩɚɡɨɧɟ ɱɚɫɬɨɬ ɤɚɧɚɥɚ SSM/I 85 ȽȽɰ [6,7]:
Ɍv = exp(-IJs/µ ) [Tu + exp(-IJa/µ )·(İvTs + (1- İv)Td)] = exp(-IJs/µ ) Tvc
(1)
Ɍh = exp(-IJs/µ ) [Tu + exp(-IJa/µ )·(İhTs + (1- İh)Td)] = exp(-IJs/µ ) Thc
(2)
ɝɞɟ Ɍv - ɪɚɞɢɨɹɪɤɨɫɬɧɚɹ ɬɟɦɩɟɪɚɬɭɪɚ ɩɢɤɫɟɥɚ, K (ɜɟɪɬɢɤɚɥɶɧɚɹ ɩɨɥɹɪɢɡɚɰɢɹ); Ɍh - ɪɚɞɢɨɹɪɤɨɫɬɧɚɹ ɬɟɦɩɟɪɚɬɭɪɚ ɩɢɤɫɟɥɚ, K (ɝɨɪɢɡɨɧɬɚɥɶɧɚɹ ɩɨɥɹɪɢɡɚɰɢɹ); Tu - ɬɟɦɩɟɪɚɬɭɪɚ ɜɨɫɯɨɞɹɳɟɝɨ ɢɡɥɭɱɟɧɢɹ ɚɬɦɨɫɮɟɪɵ, K; Td ɬɟɦɩɟɪɚɬɭɪɚ ɧɢɫɯɨɞɹɳɟɝɨ ɢɡɥɭɱɟɧɢɹ ɚɬɦɨɫɮɟɪɵ, K; Ɍvc - ɪɚɞɢɨɹɪɤɨɫɬɧɚɹ ɬɟɦɩɟɪɚɬɭɪɚ ɛɟɡɨɛɥɚɱɧɨɝɨ ɩɢɤɫɟɥɚ, K (ɜɟɪɬɢɤɚɥɶɧɚɹ ɩɨɥɹɪɢɡɚɰɢɹ); Ɍhc - ɪɚɞɢɨɹɪɤɨɫɬɧɚɹ ɬɟɦɩɟɪɚɬɭɪɚ ɛɟɡɨɛɥɚɱɧɨɝɨ ɩɢɤɫɟɥɚ, K (ɝɨɪɢɡɨɧɬɚɥɶɧɚɹ ɩɨɥɹɪɢɡɚɰɢɹ); Ts - ɬɟɪɦɨɞɢɧɚɦɢɱɟɫɤɚɹ ɬɟɦɩɟɪɚɬɭɪɚ ɉɉ, Ʉ; İv ɢ İh – ɢɡɥɭɱɚɬɟɥɶɧɚɹ ɫɩɨɫɨɛɧɨɫɬɶ ɉɉ
ɧɚ ɜɟɪɬɢɤɚɥɶɧɨɣ ɢ ɝɨɪɢɡɨɧɬɚɥɶɧɨɣ ɩɨɥɹɪɢɡɚɰɢɹɯ; IJs ɢ IJa – ɨɩɬɢɱɟɫɤɢɟ ɬɨɥɳɢɧɵ ɪɚɫɫɟɹɧɢɹ ɢ ɩɨɝɥɨɳɟɧɢɹ
ɚɬɦɨɫɮɟɪɵ; µ = cos ș, ɝɞɟ ș – ɡɟɧɢɬɧɵɣ ɭɝɨɥ (53o ɞɥɹ SSM/I).
Ⱦɚɥɟɟ ɜɜɨɞɢɬɫɹ ɩɚɪɚɦɟɬɪ ȕ [5]:
ȕ = ( Ts - İv Ts ) / ( Ts - İh Ts ) = ( 1 - İv ) / ( 1 - İh )
(3)
ɯɚɪɚɤɬɟɪɢɡɭɸɳɢɣ ɨɬɧɨɲɟɧɢɟ ɤɨɷɮɮɢɰɢɟɧɬɨɜ ɨɬɪɚɠɟɧɢɹ ɉɉ ɧɚ ɜɟɪɬɢɤɚɥɶɧɨɣ ɢ ɝɨɪɢɡɨɧɬɚɥɶɧɨɣ ɩɨɥɹɪɢɡɚɰɢɹɯ,
ɫ ɩɨɦɨɳɶɸ ɤɨɬɨɪɨɝɨ ɢ ɮɨɪɦɢɪɭɟɬɫɹ ɜɵɪɚɠɟɧɢɟ ɞɥɹ ɩɨɥɹɪɢɡɚɰɢɨɧɧɨ ɫɤɨɪɪɟɤɬɢɪɨɜɚɧɧɨɣ ɬɟɦɩɟɪɚɬɭɪɵ ɊCT:
PCT = ( Ɍv - ȕ Ɍh ) / ( 1 - ȕ )
(4)
Ʌɟɝɤɨ ɩɨɤɚɡɚɬɶ, ɱɬɨ ɫ ɩɨɦɨɳɶɸ ɫɨɨɬɧɨɲɟɧɢɣ (1) - (3) ɜɵɪɚɠɟɧɢɟ (4) ɩɪɟɨɛɪɚɡɭɟɬɫɹ ɤ ɜɢɞɭ:
PCT = exp(-IJs/µ ) [ Tu + exp(-IJa/µ ) Ts ]
(5)
ɱɬɨ ɫɨɨɬɜɟɬɫɬɜɭɟɬ ɪɚɞɢɨɹɪɤɨɫɬɧɨɣ ɬɟɦɩɟɪɚɬɭɪɟ ɫɢɫɬɟɦɵ ɉɉ-ɚɬɦɨɫɮɟɪɚ ɩɪɢ ɭɫɥɨɜɢɢ, ɱɬɨ ɩɨɞɫɬɢɥɚɸɳɚɹ
ɩɨɜɟɪɯɧɨɫɬɶ ɹɜɥɹɟɬɫɹ ɚɛɫɨɥɸɬɧɨ ɱɟɪɧɵɦ ɬɟɥɨɦ. ȼɟɥɢɱɢɧɚ PCT ɡɚɜɢɫɢɬ, ɬɚɤɢɦ ɨɛɪɚɡɨɦ, ɨɬ ɬɟɦɩɟɪɚɬɭɪɵ
ɜɨɫɯɨɞɹɳɟɝɨ ɢɡɥɭɱɟɧɢɹ ɚɬɦɨɫɮɟɪɵ Tu, ɨɬ ɬɟɦɩɟɪɚɬɭɪɵ ɉɉ Ts ɢ ɨɬ ɫɜɹɡɚɧɧɨɣ ɫ ɢɧɬɟɧɫɢɜɧɨɫɬɶɸ ɨɫɚɞɤɨɜ ɨɩɬɢɱɟɫɤɨɣ ɬɨɥɳɢɧɨɣ ɪɚɫɫɟɹɧɢɹ IJs ɧɚ ɝɢɞɪɨɦɟɬɟɨɪɚɯ ɢ, ɜ ɱɚɫɬɧɨɫɬɢ, ɧɚ ɤɪɭɩɧɵɯ ɥɟɞɹɧɵɯ ɱɚɫɬɢɰɚɯ, ɧɚɯɨɞɹɳɢɯɫɹ ɜ ɜɟɪɯɧɟɣ ɱɚɫɬɢ ɨɛɥɚɤɚ. ȼɟɥɢɱɢɧɭ ɜ ɤɜɚɞɪɚɬɧɵɯ ɫɤɨɛɤɚɯ ɜɵɪɚɠɟɧɢɹ (5) ɩɪɢɧɹɬɨ ɧɚɡɵɜɚɬɶ ɩɨɪɨɝɨɜɵɦ ɡɧɚɱɟɧɢɟɦ ɊɋɌ ɢ ɨɛɨɡɧɚɱɚɬɶ ɊɋɌo, ɱɬɨ ɫɨɨɬɜɟɬɫɬɜɭɟɬ ɪɚɞɢɨɹɪɤɨɫɬɧɨɣ ɬɟɦɩɟɪɚɬɭɪɟ ɫɢɫɬɟɦɵ ɉɉɚɬɦɨɫɮɟɪɚ ɜ ɛɟɡɨɛɥɚɱɧɵɯ ɭɫɥɨɜɢɹɯ ɢ ɩɪɢ ɭɫɥɨɜɢɢ, ɱɬɨ ɉɉ ɹɜɥɹɟɬɫɹ ɚɛɫɨɥɸɬɧɨ ɱɟɪɧɵɦ ɬɟɥɨɦ. ɋ ɭɱɟɬɨɦ ɩɨɫɥɟɞɧɟɝɨ ɨɛɫɬɨɹɬɟɥɶɫɬɜɚ ɜɵɪɚɠɟɧɢɟ (5) ɩɪɢɨɛɪɟɬɚɟɬ ɜɢɞ:
PCT = exp(-IJs/µ ) ɊɋɌo
(6)
ȼ ɩɟɪɜɵɯ ɬɪɟɯ ɜɚɪɢɚɧɬɚɯ ɚɥɝɨɪɢɬɦɚ PCT ɜɟɥɢɱɢɧɚ ɊɋɌo ɩɪɟɞɫɬɚɜɥɹɟɬɫɹ ɜ ɜɢɞɟ ɫɥɟɞɭɸɳɟɝɨ
ɩɨɥɢɧɨɦɚ [7]:
ɊɋɌo = a0 + a1 PCT19 + a2 Ɍv22 + a3 Ɍv 22 2
(7)
ȼ ɩɪɚɜɨɣ ɱɚɫɬɢ ɭɪɚɜɧɟɧɢɹ (7) ɫɬɨɹɬ ɪɚɞɢɨɹɪɤɨɫɬɧɵɟ ɬɟɦɩɟɪɚɬɭɪɵ ɤɚɧɚɥɨɜ 22 ȽȽɰ ɢ 19 ȽȽɰ, ɤɨɬɨɪɵɟ ɛɟɪɭɬɫɹ ɢɡ ɫɨɨɬɜɟɬɫɬɜɭɸɳɢɯ ɦɚɫɫɢɜɨɜ ɞɚɧɧɵɯ ɚɩɩɚɪɚɬɭɪɵ SSM/I ɂɋɁ F15.
Ɋɚɡɧɨɫɬɶ PCTɨ – PCT = MSI ɧɨɫɢɬ ɧɚɡɜɚɧɢɟ MSI (Mixed Scattering Index – ɂɧɞɟɤɫ ɫɦɟɲɚɧɧɨɝɨ ɪɚɫɫɟɹɧɢɹ). MSI ɦɨɠɟɬ ɫɜɹɡɵɜɚɬɶɫɹ ɫ ɢɧɬɟɧɫɢɜɧɨɫɬɶɸ ɨɫɚɞɤɨɜ R, ɩɨɥɭɱɟɧɧɨɣ ɧɚ ɨɫɧɨɜɚɧɢɢ ɞɚɧɧɵɯ ɪɚɞɢɨɥɨ-
56
ɤɚɰɢɨɧɧɨɣ ɦɟɬɟɨɪɨɥɨɝɢɱɟɫɤɨɣ ɫɟɬɢ, ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɤɚɤ ɥɢɧɟɣɧɨɣ, ɬɚɤ ɢ ɧɟɥɢɧɟɣɧɨɣ ɪɟɝɪɟɫɫɢɨɧɧɨɣ ɡɚɜɢɫɢɦɨɫɬɢ.
Rlinear
= a + b·MSI
Rnonlinear = c·MSI d
(8)
(9)
Ⱥɜɬɨɪɵ [7] ɜ ɞɨɩɨɥɧɟɧɢɟ ɤ ɷɬɢɦ ɞɜɭɦ ɜɚɪɢɚɧɬɚɦ ɫɜɹɡɢ ɦɟɠɞɭ MSI ɢ ɢɧɬɟɧɫɢɜɧɨɫɬɶɸ ɨɫɚɞɤɨɜ R (ɜ
ɦɦ/ɱɚɫ) ɩɪɟɞɥɨɠɢɥɢ ɟɳɟ ɨɞɢɧ - ɤɨɦɛɢɧɢɪɨɜɚɧɧɵɣ ɜɚɪɢɚɧɬ:
R = A·Rlinear + B·Rnonlinear + C
(10)
Ɂɧɚɱɟɧɢɹ ɜɟɥɢɱɢɧ a, b, A, B ɢ C ɡɚɜɢɫɹɬ ɨɬ ɤɨɧɤɪɟɬɧɵɯ ɤɥɢɦɚɬɢɱɟɫɤɢɯ ɭɫɥɨɜɢɣ ɞɚɧɧɨɣ ɦɟɫɬɧɨɫɬɢ ɢ
ɦɨɝɭɬ ɛɵɬɶ ɨɩɪɟɞɟɥɟɧɵ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɨ. ȼ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɩɪɨɜɟɞɟɧɧɵɦɢ ɨɰɟɧɤɚɦɢ ɧɚɦɢ ɩɨɥɭɱɟɧɵ ɫɥɟɞɭɸɳɢɟ ɫɨɨɬɧɨɲɟɧɢɹ:
Rlinear = 1,612 + 0,448·MSI
(11)
Rnonlinear = 0,04·MSI 1,631
(12)
R = 0,466 + 0,113·Rlinear + 0,139·Rnonlinear
(13)
2. Ɋɟɡɭɥɶɬɚɬɵ ɢɫɫɥɟɞɨɜɚɧɢɣ
Ɇɟɬɨɞɢɤɚ ɩɪɨɜɟɞɟɧɢɹ ɷɤɫɩɟɪɢɦɟɧɬɚ ɡɚɤɥɸɱɚɥɚɫɶ ɜ ɫɥɟɞɭɸɳɟɦ. ɋ ɩɨɦɨɳɶɸ ɪɚɞɢɨɥɨɤɚɰɢɨɧɧɨɣ ɦɟɬɟɨɪɨɥɨɝɢɱɟɫɤɨɣ ɫɟɬɢ “Ɇɨɫɤɨɜɫɤɨɟ ɤɨɥɶɰɨ” ɧɚɦɢ ɛɵɥɚ ɩɨɥɭɱɟɧɚ ɤɚɪɬɚ ɨɫɚɞɤɨɜ ɫ ɩɪɨɫɬɪɚɧɫɬɜɟɧɧɵɦ ɪɚɡɪɟɲɟɧɢɟɦ 4 ɤɦ, ɫ ɨɩɪɟɞɟɥɟɧɧɨɣ ɲɤɚɥɨɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ. ɇɚ ɪɚɞɚɪɧɵɟ ɞɚɧɧɵɟ ɧɚɦɢ ɛɵɥɚ ɧɚɥɨɠɟɧɚ
ɫɟɬɤɚ ɝɟɨɝɪɚɮɢɱɟɫɤɢɯ ɤɨɨɪɞɢɧɚɬ ɫ ɲɚɝɨɦ 0,5 ɝɪɚɞɭɫɚ ɩɨ ɲɢɪɨɬɟ ɢ ɞɨɥɝɨɬɟ, ɱɬɨ ɫɨɨɬɜɟɬɫɬɜɭɟɬ ɝɪɚɧɢɰɚɦ
ɩɢɤɫɟɥɨɜ ɚɩɩɚɪɚɬɭɪɵ SSM/I. Ⱥɧɚɥɢɡɭ ɛɵɥ ɩɨɞɜɟɪɝɧɭɬ 21 ɩɢɤɫɟɥ ɷɬɨɣ ɤɚɪɬɵ ɨɫɚɞɤɨɜ. ɇɚ ɪɢɫ. 1. ɫɯɟɦɚɬɢɱɟɫɤɢ ɢɡɨɛɪɚɠɟɧɵ ɨɱɟɪɬɚɧɢɹ ɨɛɥɚɫɬɢ ɤɚɪɬɵ ɨɫɚɞɤɨɜ, ɝɞɟ ɫɜɟɬɥɵɟ ɹɱɟɣɤɢ ɝɟɨɝɪɚɮɢɱɟɫɤɨɣ ɫɟɬɤɢ ɫɨɨɬɜɟɬɫɬɜɭɸɬ ɚɧɚɥɢɡɢɪɭɟɦɵɦ ɩɢɤɫɟɥɚɦ. ȼ ɤɚɠɞɨɦ ɢɡ ɧɢɯ ɭɤɚɡɚɧɵ ɭɫɪɟɞɧɟɧɧɵɟ ɡɧɚɱɟɧɢɹ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ ɜ
ɦɦ/ɱɚɫ, ɩɨɥɭɱɟɧɧɵɟ ɧɚ ɨɫɧɨɜɚɧɢɢ ɞɚɧɧɵɯ ɪɚɞɢɨɥɨɤɚɰɢɨɧɧɵɯ ɢɡɦɟɪɟɧɢɣ. ɉɨɫɥɟ ɷɬɨɝɨ ɞɥɹ ɤɚɠɞɨɣ ɢɡ 21
ɹɱɟɟɤ ɫ ɨɫɚɞɤɚɦɢ ɛɵɥ ɫɮɨɪɦɢɪɨɜɚɧ ɨɛɴɟɞɢɧɟɧɧɵɣ ɦɚɫɫɢɜ, ɜɤɥɸɱɚɸɳɢɣ:
x ɡɧɚɱɟɧɢɹ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ ɩɨ ɞɚɧɧɵɦ ɪɚɞɢɨɥɨɤɚɰɢɨɧɧɨɣ ɫɟɬɢ;
x ɫɨɨɬɜɟɬɫɬɜɭɸɳɢɟ ɡɧɚɱɟɧɢɹ ɪɚɞɢɨɹɪɤɨɫɬɧɵɯ ɬɟɦɩɟɪɚɬɭɪ ɜ ɤɚɠɞɨɦ ɢɡ ɫɟɦɢ ɤɚɧɚɥɨɜ SSM/I.
Ɋɢɫ. 1. ɋɯɟɦɚɬɢɱɟɫɤɨɟ ɢɡɨɛɪɚɠɟɧɢɟ ɨɛɥɚɫɬɢ ɤɚɪɬɵ ɨɫɚɞɤɨɜ ɫ ɧɚɥɨɠɟɧɧɨɣ ɫɟɬɤɨɣ ɝɟɨɝɪɚɮɢɱɟɫɤɢɯ ɤɨɨɪɞɢɧɚɬ ɢ
ɡɧɚɱɟɧɢɹɦɢ ɜ ɤɚɠɞɨɣ ɟɺ ɹɱɟɣɤɟ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ ɩɨ ɞɚɧɧɵɦ ɪɚɞɚɪɚ.
57
ɋɮɨɪɦɢɪɨɜɚɧɧɵɣ ɨɛɴɟɞɢɧɟɧɧɵɣ ɦɚɫɫɢɜ ɢɫɩɨɥɶɡɨɜɚɥɫɹ ɩɪɢ ɩɪɨɜɟɞɟɧɢɢ ɩɨɫɥɟɞɭɸɳɟɣ ɨɛɪɚɛɨɬɤɢ ɞɚɧɧɵɯ ɫ
ɰɟɥɶɸ ɤɚɥɢɛɪɨɜɤɢ ɚɥɝɨɪɢɬɦɨɜ.
Ⱦɚɥɟɟ ɧɚɦɢ ɩɪɟɞɫɬɚɜɥɟɧɵ ɪɟɡɭɥɶɬɚɬɵ ɫɨɩɨɫɬɚɜɥɟɧɢɹ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ ɩɨ ɞɚɧɧɵɦ ɪɚɞɚɪɚ ɢ
ɪɚɫɫɱɢɬɚɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɫɥɟɞɭɸɳɢɯ 7 ɜɚɪɢɚɧɬɨɜ ɚɥɝɨɪɢɬɦɚ ɊɋɌ:
1) ɥɢɧɟɣɧɚɹ ɢɧɬɟɪɩɨɥɹɰɢɹ, ɫɦ. (11);
2) ɧɟɥɢɧɟɣɧɚɹ ɢɧɬɟɪɩɨɥɹɰɢɹ, ɫɦ. (12);
3) ɫɭɩɟɪɩɨɡɢɰɢɹ ɥɢɧɟɣɧɨɣ ɢ ɧɟɥɢɧɟɣɧɨɣ ɫɨɫɬɚɜɥɹɸɳɢɯ, ɫɦ. (13);
4) ɨɬɧɨɲɟɧɢɟ PCT ɜ ɤɚɧɚɥɚɯ 37 ɢ 85 ȽȽɰ (PCT37/PCT85);
5) ɨɬɧɨɲɟɧɢɟ PCT ɜ ɤɚɧɚɥɚɯ 19 ɢ 85 ȽȽɰ (PCT19/PCT85);
6) ɤɨɦɛɢɧɚɰɢɹ PCT ɜ ɤɚɧɚɥɚɯ 37 ɢ 85 ȽȽɰ ((PCT37 - PCT85) / (PCT37 + PCT85));
7) ɤɨɦɛɢɧɚɰɢɹ PCT ɜ ɤɚɧɚɥɚɯ 19 ɢ 85 ȽȽɰ ((PCT19 - PCT85) / (PCT19 + PCT85)).
ɇɟɨɛɯɨɞɢɦɨ ɨɛɪɚɬɢɬɶ ɜɧɢɦɚɧɢɟ ɧɚ ɬɨ, ɱɬɨ ɜ ɨɫɧɨɜɟ ɩɟɪɜɵɯ ɬɪɟɯ ɜɚɪɢɚɧɬɨɜ ɚɥɝɨɪɢɬɦɚ PCT ɥɟɠɢɬ
ɚɞɞɢɬɢɜɧɚɹ ɫɯɟɦɚ, ɢɫɩɨɥɶɡɭɸɳɚɹ ɪɚɡɧɢɰɭ PCT85 ɢ PCTo (MSI = PCT85 – PCTo). ɉɨɫɥɟɞɭɸɳɢɟ 4 ɩɪɟɞɥɨɠɟɧɧɵɯ ɚɜɬɨɪɚɦɢ ɞɚɧɧɨɣ ɪɚɛɨɬɵ ɜɚɪɢɚɧɬɚ ɚɥɝɨɪɢɬɦɚ PCT ɨɫɧɨɜɚɧɵ ɧɚ ɦɭɥɶɬɢɩɥɢɤɚɬɢɜɧɨɣ ɫɯɟɦɟ – ɨɬɧɨɲɟɧɢɢ
ɡɧɚɱɟɧɢɣ PCT ɞɥɹ ɪɚɡɧɵɯ ɤɚɧɚɥɨɜ. ɋ ɬɨɱɤɢ ɡɪɟɧɢɹ ɮɢɡɢɤɢ ɦɨɠɧɨ ɩɨɥɚɝɚɬɶ, ɱɬɨ ɷɬɢ 4 ɚɥɝɨɪɢɬɦɚ ɨɛɥɚɞɚɸɬ
ɨɩɪɟɞɟɥɟɧɧɨɣ ɩɟɪɫɩɟɤɬɢɜɨɣ, ɩɨɫɤɨɥɶɤɭ (ɜ ɨɬɫɭɬɫɬɜɢɟ ɚɬɦɨɫɮɟɪɧɵɯ ɮɚɤɬɨɪɨɜ) ɡɧɚɱɟɧɢɹ ɪɚɞɢɨɹɪɤɨɫɬɧɵɯ
ɬɟɦɩɟɪɚɬɭɪ, ɜɯɨɞɹɳɢɟ ɜ ɜɵɪɚɠɟɧɢɟ ɞɥɹ PCTf (ɧɚ ɱɚɫɬɨɬɟ f)
ɊɋɌ f = (Ɍv f – ȕf · Ɍh f) / (1 – ȕf)
(14)
ɩɪɨɩɨɪɰɢɨɧɚɥɶɧɵ ɡɧɚɱɟɧɢɹɦ ɢɡɥɭɱɚɬɟɥɶɧɨɣ ɫɩɨɫɨɛɧɨɫɬɢ İv f ɢ İh f ɢ ɮɢɡɢɱɟɫɤɨɣ ɬɟɦɩɟɪɚɬɭɪɵ ɩɨɞɫɬɢɥɚɸɳɟɣ ɩɨɜɟɪɯɧɨɫɬɢ Ts:
Ɍv f = İv f ·Ts
Ɍh f = İh f ·Ts
(15)
ɉɪɢ ɷɬɨɦ ɜ ɚɞɞɢɬɢɜɧɵɯ ɜɚɪɢɚɧɬɚɯ ɚɥɝɨɪɢɬɦɚ (1-3) ɫɨɯɪɚɧɹɟɬɫɹ ɜ ɹɜɧɨɦ ɜɢɞɟ ɡɚɜɢɫɢɦɨɫɬɶ ɨɬ ɮɢɡɢɱɟɫɤɨɣ ɬɟɦɩɟɪɚɬɭɪɵ ɩɨɞɫɬɢɥɚɸɳɟɣ ɩɨɜɟɪɯɧɨɫɬɢ Ts. ȼ ɦɭɥɶɬɢɩɥɢɤɚɬɢɜɧɵɯ ɠɟ ɜɚɪɢɚɧɬɚɯ ɚɥɝɨɪɢɬɦɚ (4-7) Ts ɫɨɤɪɚɳɚɟɬɫɹ. Ɋɚɡɭɦɟɟɬɫɹ, ɩɪɢ ɭɱɟɬɟ ɚɬɦɨɫɮɟɪɧɵɯ ɷɮɮɟɤɬɨɜ ɩɪɨɫɬɨɝɨ ɫɨɤɪɚɳɟɧɢɹ Ts ɭɠɟ ɧɟ ɩɨɥɭɱɢɬɫɹ, ɧɨ ɟɫɬɶ
ɨɫɧɨɜɚɧɢɹ ɩɨɥɚɝɚɬɶ, ɱɬɨ ɡɚɜɢɫɢɦɨɫɬɶ ɨɬ ɮɢɡɢɱɟɫɤɨɣ ɬɟɦɩɟɪɚɬɭɪɵ ɩɨɞɫɬɢɥɚɸɳɟɣ ɩɨɜɟɪɯɧɨɫɬɢ Ts ɨɤɚɠɟɬɫɹ
ɦɟɧɟɟ ɜɵɪɚɠɟɧɧɨɣ. ɗɬɨ ɦɨɠɟɬ ɩɪɢɜɟɫɬɢ ɤ ɬɨɦɭ, ɱɬɨ ɩɪɢ ɚɧɚɥɢɡɟ ɩɪɨɬɹɠɟɧɧɵɯ ɫɰɟɧ ɫ ɡɚɦɟɬɧɨ ɪɚɡɥɢɱɚɸɳɢɦɢɫɹ ɡɧɚɱɟɧɢɹɦɢ ɮɢɡɢɱɟɫɤɨɣ ɬɟɦɩɟɪɚɬɭɪɵ ɩɨɞɫɬɢɥɚɸɳɟɣ ɩɨɜɟɪɯɧɨɫɬɢ (ɢɥɢ ɩɪɢ ɫɴɟɦɤɚɯ ɨɞɧɨɣ ɢ ɬɨɣ ɠɟ
ɬɟɪɪɢɬɨɪɢɢ ɜ ɪɚɡɧɵɟ ɞɚɬɵ ɢɥɢ ɜ ɪɚɡɧɨɟ ɜɪɟɦɹ ɫɭɬɨɤ) ɦɭɥɶɬɢɩɥɢɤɚɬɢɜɧɵɟ ɚɥɝɨɪɢɬɦɵ ɦɨɝɭɬ ɨɛɟɫɩɟɱɢɬɶ ɩɨɥɭɱɟɧɢɟ ɛɨɥɟɟ ɬɨɱɧɵɯ ɪɟɡɭɥɶɬɚɬɨɜ. Ɉɱɟɜɢɞɧɨ, ɱɬɨ ɩɪɢ ɚɧɚɥɢɡɟ ɞɚɧɧɵɯ, ɨɬɧɨɫɹɳɢɯɫɹ ɬɨɥɶɤɨ ɤ ɨɞɧɨɣ ɫɰɟɧɟ, ɬɟɦ
ɛɨɥɟɟ, ɞɨɫɬɚɬɨɱɧɨ ɨɝɪɚɧɢɱɟɧɧɨɝɨ ɪɚɡɦɟɪɚ, ɤɚɤ ɜ ɢɫɫɥɟɞɭɟɦɨɦ ɧɚɦɢ ɫɟɣɱɚɫ ɫɥɭɱɚɟ, ɷɬɨ ɫɜɨɣɫɬɜɨ ɧɟ ɞɨɥɠɧɨ
ɩɪɨɹɜɢɬɶɫɹ – ɡɞɟɫɶ ɩɨɬɪɟɛɭɟɬɫɹ ɫɬɚɬɢɫɬɢɤɚ ɫɭɳɟɫɬɜɟɧɧɨ ɛɨɥɶɲɟɝɨ ɨɛɴɟɦɚ – ɢ ɩɨ ɬɟɪɪɢɬɨɪɢɢ, ɢ ɩɨ ɪɚɡɦɟɪɚɦ
ɢɡɨɛɪɚɠɟɧɢɣ. ɋɥɟɞɭɟɬ ɢɦɟɬɶ ɜ ɜɢɞɭ, ɱɬɨ ɪɚɡɥɢɱɢɟ ɮɢɡɢɤɢ ɡɨɧɞɢɪɨɜɚɧɢɹ (ɩɚɫɫɢɜɧɵɣ ɪɟɠɢɦ, SSM/I, ɢ ɚɤɬɢɜɧɵɣ - ɪɚɞɚɪɵ) ɩɪɢɜɨɞɢɬ ɤ ɞɨɫɬɚɬɨɱɧɨ ɡɧɚɱɢɬɟɥɶɧɨɦɭ ɪɚɡɛɪɨɫɭ ɫɨɩɨɫɬɚɜɥɹɟɦɵɯ ɞɚɧɧɵɯ.
Ɋɢɫ. 2. Ƚɪɚɮɢɤ ɞɥɹ ɫɨɩɨɫɬɚɜɥɟɧɢɹ ɡɧɚɱɟɧɢɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ, ɢ ɡɧɚɱɟɧɢɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɪɚɫɫɱɢɬɚɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɜɚɪɢɚɧɬɚ 1 ɚɥɝɨɪɢɬɦɚ PCT (ɥɢɧɟɣɧɚɹ ɢɧɬɟɪɩɨɥɹɰɢɹ).
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ɇɚ ɪɢɫ. 2. ɩɪɢɜɟɞɟɧ ɝɪɚɮɢɤ, ɩɨɡɜɨɥɹɸɳɢɣ ɫɨɩɨɫɬɚɜɢɬɶ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɵɟ ɫ ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ (ɜɟɪɬɢɤɚɥɶɧɚɹ ɨɫɶ), ɢ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɪɚɫɫɱɢɬɚɧɧɵɟ ɫ ɩɨɦɨɳɶɸ ɜɚɪɢɚɧɬɚ 1 (ɥɢɧɟɣɧɚɹ ɢɧɬɟɪɩɨɥɹɰɢɹ) ɚɥɝɨɪɢɬɦɚ PCT (ɝɨɪɢɡɨɧɬɚɥɶɧɚɹ ɨɫɶ). Ɉɱɟɜɢɞɧɨ, ɱɬɨ ɦɟɬɨɞ ɞɚɟɬ ɫɢɥɶɧɨ ɡɚɜɵɲɟɧɧɭɸ
ɨɰɟɧɤɭ – ɩɪɢɦɟɪɧɨ ɜ 4 ɪɚɡɚ. ɋɪɟɞɧɟɤɜɚɞɪɚɬɢɱɟɫɤɚɹ ɨɲɢɛɤɚ ɜ ɞɚɧɧɨɦ ɫɥɭɱɚɟ ɪɚɜɧɚ 6,2 ɦɦ/ɱɚɫ.
ɇɚ ɪɢɫ. 3. ɩɪɢɜɟɞɟɧ ɚɧɚɥɨɝɢɱɧɵɣ ɝɪɚɮɢɤ ɞɥɹ ɚɥɝɨɪɢɬɦɚ PCT ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɧɟɥɢɧɟɣɧɨɣ ɢɧɬɟɪɩɨɥɹɰɢɢ. ɗɬɨɬ ɚɥɝɨɪɢɬɦ ɞɚɟɬ ɧɟɫɤɨɥɶɤɨ ɛɨɥɟɟ ɬɨɱɧɵɟ ɪɟɡɭɥɶɬɚɬɵ (ɋɄɈ = 2,2 ɦɦ/ɱɚɫ).
Ɋɢɫ. 3. Ƚɪɚɮɢɤ ɞɥɹ ɫɨɩɨɫɬɚɜɥɟɧɢɹ ɡɧɚɱɟɧɢɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ, ɢ ɡɧɚɱɟɧɢɣ
ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɪɚɫɫɱɢɬɚɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɜɚɪɢɚɧɬɚ 2 ɚɥɝɨɪɢɬɦɚ PCT (ɧɟɥɢɧɟɣɧɚɹ ɢɧɬɟɪɩɨɥɹɰɢɹ).
Ɋɢɫ. 4. Ƚɪɚɮɢɤ ɞɥɹ ɫɨɩɨɫɬɚɜɥɟɧɢɹ ɡɧɚɱɟɧɢɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ, ɢ
ɡɧɚɱɟɧɢɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɪɚɫɫɱɢɬɚɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɜɚɪɢɚɧɬɚ 3 ɚɥɝɨɪɢɬɦɚ PCT (ɫɭɩɟɪɩɨɡɢɰɢɹ
ɥɢɧɟɣɧɨɣ ɢ ɧɟɥɢɧɟɣɧɨɣ ɫɨɫɬɚɜɥɹɸɳɢɯ).
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ɋɨɩɨɫɬɚɜɥɟɧɢɟ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɨɣ ɫ ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ, ɢ ɚɥɝɨɪɢɬɦɚ PCT ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɤɨɦɛɢɧɢɪɨɜɚɧɧɨɣ (ɥɢɧɟɣɧɨɣ ɢ ɧɟɥɢɧɟɣɧɨɣ) ɢɧɬɟɪɩɨɥɹɰɢɢ ɢɥɥɸɫɬɪɢɪɭɟɬɫɹ ɝɪɚɮɢɤɨɦ ɧɚ ɪɢɫ.
4. Ⱦɚɧɧɵɣ ɚɥɝɨɪɢɬɦ ɩɨɤɚɡɚɥ ɧɚɢɛɨɥɟɟ ɜɵɫɨɤɭɸ ɬɨɱɧɨɫɬɶ (ɋɄɈ = 0,58 ɦɦ/ɱɚɫ).
Ɋɢɫ. 5. Ƚɪɚɮɢɤ ɞɥɹ ɫɨɩɨɫɬɚɜɥɟɧɢɹ ɡɧɚɱɟɧɢɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ, ɢ ɡɧɚɱɟɧɢɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɪɚɫɫɱɢɬɚɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɜɚɪɢɚɧɬɚ 4 ɚɥɝɨɪɢɬɦɚ PCT (ɩɨ ɨɬɧɨɲɟɧɢɸ PCT37/
PCT85).
ɋɨɩɨɫɬɚɜɥɟɧɢɟ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɨɣ ɫ ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ, ɢ ɨɬɧɨɲɟɧɢɹ PCT37/ PCT85
(ɚɩɩɪɨɤɫɢɦɚɰɢɹ ɩɨɥɢɧɨɦɨɦ ɜɬɨɪɨɣ ɫɬɟɩɟɧɢ ɩɨ ɨɬɧɨɲɟɧɢɸ PCT37/ PCT85) ɩɨɡɜɨɥɢɥɨ ɩɨɥɭɱɢɬɶ ɋɄɈ =0,67
ɦɦ/ɱɚɫ (ɝɪɚɮɢɤ ɧɚ ɪɢɫ. 5.).
Ɋɢɫ. 6. Ƚɪɚɮɢɤ ɞɥɹ ɫɨɩɨɫɬɚɜɥɟɧɢɹ ɡɧɚɱɟɧɢɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ, ɢ ɡɧɚɱɟɧɢɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɪɚɫɫɱɢɬɚɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɜɚɪɢɚɧɬɚ 5 ɚɥɝɨɪɢɬɦɚ PCT (ɩɨ ɨɬɧɨɲɟɧɢɸ (PCT37 PCT85) / (PCT37 + PCT85)).
ɇɚ ɪɢɫ. 6. ɩɪɟɞɫɬɚɜɥɟɧ ɝɪɚɮɢɤ, ɩɨɡɜɨɥɹɸɳɢɣ ɫɨɩɨɫɬɚɜɢɬɶ ɢɧɬɟɧɫɢɜɧɨɫɬɶ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɭɸ ɫ
ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ, ɢ ɨɬɧɨɲɟɧɢɹ (PCT37 - PCT85) / (PCT37 + PCT85). ɉɟɪɟɯɨɞ ɤ ɭɫɥɨɠɧɟɧɧɨɦɭ ɜɚɪɢɚɧɬɭ ɞɥɹ
ɬɟɯ ɠɟ ɤɚɧɚɥɨɜ ɧɢɱɟɝɨ ɧɟ ɢɡɦɟɧɢɥ: ɋɄɈ ɨɫɬɚɥɫɹ ɪɚɜɧɵɦ 0,67 ɦɦ/ɱɚɫ.
ɋɨɩɨɫɬɚɜɥɟɧɢɟ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɨɣ ɫ ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ, ɢ ɨɬɧɨɲɟɧɢɹ PCT19/PCT85
ɩɪɨɢɥɥɸɫɬɪɢɪɨɜɚɧɨ ɧɚ ɝɪɚɮɢɤɟ ɧɚ ɪɢɫ. 7. ɂɫɩɨɥɶɡɨɜɚɧɢɟ ɷɬɨɣ ɩɚɪɵ ɤɚɧɚɥɨɜ ɩɨɡɜɨɥɢɥɨ ɩɨɜɵɫɢɬɶ ɬɨɱɧɨɫɬɶ
ɞɨ ɋɄɈ = 0,59 ɦɦ/ɱɚɫ.
ɋɨɩɨɫɬɚɜɥɟɧɢɟ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɨɣ ɫ ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ, ɢ ɨɬɧɨɲɟɧɢɹ (PCT19 PCT85) / (PCT19 + PCT85) ɦɨɠɧɨ ɩɪɨɜɟɫɬɢ, ɢɫɩɨɥɶɡɨɜɚɜ ɝɪɚɮɢɤ ɧɚ ɪɢɫ. 8. Ʉɚɤ ɢ ɜ ɫɥɭɱɚɟ ɩɚɪɵ ɤɚɧɚɥɨɜ 37 ɢ
85 ȽȽɰ ɩɟɪɟɯɨɞ ɤ ɭɫɥɨɠɧɟɧɧɨɦɭ ɜɚɪɢɚɧɬɭ ɧɢɱɟɝɨ ɧɟ ɢɡɦɟɧɢɥ - ɋɄɈ ɨɫɬɚɥɫɹ ɪɚɜɧɵɦ 0,59 ɦɦ/ɱɚɫ.
60
Ɋɢɫ. 7. Ƚɪɚɮɢɤ ɞɥɹ ɫɨɩɨɫɬɚɜɥɟɧɢɹ ɡɧɚɱɟɧɢɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ, ɢ ɡɧɚɱɟɧɢɣ
ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɪɚɫɫɱɢɬɚɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɜɚɪɢɚɧɬɚ 6 ɚɥɝɨɪɢɬɦɚ PCT (ɩɨ ɨɬɧɨɲɟɧɢɸ PCT19/ PCT85).
Ɋɢɫ. 8. Ƚɪɚɮɢɤ ɞɥɹ ɫɨɩɨɫɬɚɜɥɟɧɢɹ ɡɧɚɱɟɧɢɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɩɨɥɭɱɟɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɪɚɞɚɪɚ, ɢ ɡɧɚɱɟɧɢɣ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɨɫɚɞɤɨɜ, ɪɚɫɫɱɢɬɚɧɧɵɯ ɫ ɩɨɦɨɳɶɸ ɜɚɪɢɚɧɬɚ 7 ɚɥɝɨɪɢɬɦɚ PCT (ɩɨ ɨɬɧɨɲɟɧɢɸ
(PCT19 - PCT85) / (PCT19 + PCT85)).
Ⱦɥɹ ɧɚɝɥɹɞɧɨɫɬɢ ɜɵɱɢɫɥɟɧɧɵɟ ɞɥɹ ɤɚɠɞɨɝɨ ɜɚɪɢɚɧɬɚ ɚɥɝɨɪɢɬɦɚ PCT ɡɧɚɱɟɧɢɹ ɋɄɈ ɫɜɟɞɟɧɵ ɜ ɫɥɟɞɭɸɳɭɸ ɬɚɛɥɢɰɭ:
Ɍɚɛɥɢɰɚ 1. Ɂɧɚɱɟɧɢɹ ɋɄɈ ɞɥɹ 7 ɜɚɪɢɚɧɬɨɜ ɚɥɝɨɪɢɬɦɨɜ ɋɄɈ
ʋ
1
2
3
4
5
6
7
Ⱥɥɝɨɪɢɬɦ
Ʌɢɧɟɣɧɚɹ ɢɧɬɟɪɩɨɥɹɰɢɹ
ɇɟɥɢɧɟɣɧɚɹ ɢɧɬɟɪɩɨɥɹɰɢɹ
ɋɭɩɟɪɩɨɡɢɰɢɹ ɥɢɧɟɣɧɨɣ ɢ ɧɟɥɢɧɟɣɧɨɣ ɫɨɫɬɚɜɥɹɸɳɢɯ
PCT37/PCT85
PCT(37-85)/(37+85)
PCT19/PCT85
PCT(19- PCT(19-85)/(19+85)85)/(19+85)
ɋɄɈ, (ɦɦ/ɱɚɫ)
6,2
2,2
0,58
0,67
0,67
0,59
0,59
61
Ɂɚɤɥɸɱɟɧɢɟ
ɋ ɬɨɱɤɢ ɡɪɟɧɢɹ ɬɨɱɧɨɫɬɧɵɯ ɯɚɪɚɤɬɟɪɢɫɬɢɤ ɚɥɝɨɪɢɬɦɵ ɦɨɝɭɬ ɛɵɬɶ ɪɚɡɛɢɬɵ ɧɚ ɞɜɟ ɝɪɭɩɩɵ. ȼ ɩɟɪɜɭɸ
ɝɪɭɩɩɭ ɜɯɨɞɹɬ ɚɥɝɨɪɢɬɦɵ ɥɢɧɟɣɧɨɣ ɢ ɧɟɥɢɧɟɣɧɨɣ ɢɧɬɟɪɩɨɥɹɰɢɢ (ɜɚɪɢɚɧɬɵ 1 ɢ 2), ɤɨɬɨɪɵɟ ɯɚɪɚɤɬɟɪɢɡɭɸɬɫɹ ɧɟɩɪɢɟɦɥɟɦɨ ɜɵɫɨɤɢɦ ɭɪɨɜɧɟɦ ɨɲɢɛɨɤ – ɋɄɈ ɪɚɜɧɨ 6 ɢ 2 ɦɦ/ɱɚɫ, ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ.
Ⱦɥɹ ɨɫɬɚɥɶɧɵɯ 5 ɚɥɝɨɪɢɬɦɨɜ ɋɄɈ ɦɟɧɹɟɬɫɹ ɜ ɞɨɫɬɚɬɨɱɧɨ ɭɡɤɢɯ ɩɪɟɞɟɥɚɯ - ɨɬ 0,58 ɞɨ 0,67 ɦɦ/ɱɚɫ.
Ɇɟɧɟɟ ɬɨɱɧɵɟ ɪɟɡɭɥɶɬɚɬɵ ɜ ɷɬɨɣ ɝɪɭɩɩɟ (ɜɚɪɢɚɧɬɵ 4 ɢ 5) ɞɥɹ ɩɚɪɵ ɤɚɧɚɥɨɜ 37 ɢ 85 ȽȽɰ (0,67 ɦɦ/ɱɚɫ), ɛɨɥɟɟ
ɬɨɱɧɵɟ – ɭ ɜɚɪɢɚɧɬɨɜ 6 ɢ 7 ɧɚ ɨɫɧɨɜɟ ɩɚɪɵ ɤɚɧɚɥɨɜ 37 ɢ 85 ȽȽɰ (0,59 ɦɦ/ɱɚɫ), ɢ ɭ ɜɚɪɢɚɧɬɚ 3 (0,58 ɦɦ/ɱɚɫ).
Ⱦɥɹ ɩɪɨɜɟɞɟɧɢɹ ɚɞɟɤɜɚɬɧɨɣ ɨɰɟɧɤɢ ɬɨɱɧɨɫɬɧɵɯ ɯɚɪɚɤɬɟɪɢɫɬɢɤ ɩɪɟɞɥɨɠɟɧɧɵɯ ɦɭɥɶɬɢɩɥɢɤɚɬɢɜɧɵɯ ɜɚɪɢɚɧɬɨɜ ɚɥɝɨɪɢɬɦɚ PCT ɩɥɚɧɢɪɭɟɬɫɹ ɩɪɨɜɟɞɟɧɢɟ ɞɨɩɨɥɧɢɬɟɥɶɧɵɯ ɢɫɫɥɟɞɨɜɚɧɢɣ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ
ɫɬɚɬɢɫɬɢɱɟɫɤɢ ɩɪɟɞɫɬɚɜɢɬɟɥɶɧɵɯ ɦɚɫɫɢɜɨɜ ɞɚɧɧɵɯ.
Ʌɢɬɟɪɚɬɭɪɚ
1.
2.
3.
4.
5.
6.
7.
8.
9.
62
Hollinger J.P., Peirce J.L., Poe G.A. SSM/I instrument evaluation. – IEEE Trans. Geosci. Remote Sens., 1990, v. 28, N
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ɉɚɯɨɦɨɜ Ʌ.Ⱥ., Ɏɟɨɤɬɢɫɬɨɜ Ⱥ.Ⱥ., Ɇɢɪɨɲɢɧ Ⱥ.Ⱥ. Ɉɛ ɚɜɬɨɦɚɬɢɱɟɫɤɨɦ ɨɛɧɚɪɭɠɟɧɢɢ ɡɨɧ ɢɧɬɟɧɫɢɜɧɵɯ ɨɫɚɞɤɨɜ ɩɨ
ɞɚɧɧɵɦ ɞɢɫɬɚɧɰɢɨɧɧɨɝɨ ɡɨɧɞɢɪɨɜɚɧɢɹ ɜ ɦɢɤɪɨɜɨɥɧɨɜɨɣ ɨɛɥɚɫɬɢ ɫɩɟɤɬɪɚ. – Ɍɟɡ. ɞɨɤɥ. ȼɫɟɪɨɫɫɢɣɫɤɨɣ ɤɨɧɮɟɪɟɧɰɢɢ « Ⱦɢɫɬɚɧɰɢɨɧɧɨɟ ɡɨɧɞɢɪɨɜɚɧɢɟ ɩɨɜɟɪɯɧɨɫɬɢ Ɂɟɦɥɢ ɢ ɚɬɦɨɫɮɟɪɵ», ɂɪɤɭɬɫɤ, 2 – 6 ɢɸɧɹ 2003 ɝ., ɫ. 16.
ɉɚɯɨɦɨɜ Ʌ.Ⱥ., Ɏɟɨɤɬɢɫɬɨɜ Ⱥ.Ⱥ., Ɏɟɞɢɱɟɜ Ɉ.Ȼ., Ɇɢɪɨɲɢɧ Ⱥ.Ⱥ. Ɉɛɧɚɪɭɠɟɧɢɟ ɡɨɧ ɨɫɚɞɤɨɜ ɢ ɨɰɟɧɤɚ ɢɯ ɢɧɬɟɧɫɢɜɧɨɫɬɢ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɞɚɧɧɵɯ ɞɢɫɬɚɧɰɢɨɧɧɨɝɨ ɡɨɧɞɢɪɨɜɚɧɢɹ ɜ ɦɢɤɪɨɜɨɥɧɨɜɨɣ ɨɛɥɚɫɬɢ ɫɩɟɤɬɪɚ.//ɋɛɨɪɧɢɤ ɞɨɤɥɚɞɨɜ ȼɫɟɪɨɫɫɢɣɫɤɨɣ ɤɨɧɮɟɪɟɧɰɢɢ «ɋɨɜɪɟɦɟɧɧɵɟ ɩɪɨɛɥɟɦɵ ɞɢɫɬɚɧɰɢɨɧɧɨɝɨ ɡɨɧɞɢɪɨɜɚɧɢɹ Ɂɟɦɥɢ ɢɡ ɤɨɫɦɨɫɚ»,
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