JP2004346573A - Ground quality determining method, ground quality determining device, ground construction method and program - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To accurately evaluate quality while cutting down time, labor and costs, even if an area of ground, whose quality is to be determined, is large. <P>SOLUTION: When the ground is constructed (step Sa1), indexes about the ground are actually measured at a plurality of points on the ground (step Sa2). Many points other than the actual measurement points are set as points where the indexes etc. are to be estimated (step Sa4), and an estimated value of the index and an estimated-error standard deviation at the estimation point are determined from an actually measured value (step Sa5). From this result, a probability that the index at the estimation point does not satisfy allowable conditions is determined, and when the probability is as high as/higher than a set value, an area having a high probability of low quality is identified as an acceptable area (step Sa1). <P>COPYRIGHT: (C)2005,JPO&NCIPI

Description

【数２】

なお、ｕ_ｉは計測位置座標を示している。
【００５１】
一般にこれは指数関数型モデルと呼ばれており、これ以外にも球状関数型モデル、ガウス型モデルなどがあり、これらを用いることもできるが、本実施形態では指数関数型モデルを用いる場合について説明する。また、求めるべきパラメータは分散σ^２と相関距離と呼ばれるａであり、最尤法を用いて推定する。最尤法は周知のとおり尤度と呼ばれる確率密度を最大にするようなパラメータを推定する手法である。
【００５２】
ここで、分散σ^２と自己相関関数Ｒ（ｈ）から、共分散関数Ｃ（ｈ）＝σ^２Ｒ（ｈ）と定義される。そしてＮ個全ての計測位置に関して互いに共分散関数をあてはめて求めた共分散行列をＱとする。すなわち共分散行列ＱはＮ×Ｎの対称行列で（ｉ、ｊ）成分Ｑ_ｉｊはＣ（｜ｕ_ｉ−ｕ_ｊ｜）で表されるものである。ここで負の対数尤度Ｌが（３）式のように表される。
【数３】

かかる対数尤度Ｌを最小化することで、関数Ｌに含まれるパラメータ分散σ^２と相関距離ａを決定する。
【００５３】
以上のような手順により実測データから事前に求められた空間変動特性である分散σ^２と自己相関関数Ｒ（ｈ）が空間変動特性記憶部１４０に記憶されており、推定部１３０は当該分散σ^２および自己相関関数Ｒ（ｈ）から定まる自己相関係数を用いて推定すべき地点の指標の推定値および推定誤差標準偏差を求めるのである。
【００５４】
次に、上記のように事前に求められて記憶されている空間変動特性を用い、離散的な実測値から任意位置ｕ_０の指標の推定値および推定誤差標準偏差を求める手順について説明する。
【００５５】
本実施形態では、オーディナリ・クリギングと呼ばれる空間推定方法を用いており、任意地点ｕ_０における指標の推定値ｚ^＊（ｕ_０）は（４）式のように計測値ベクトルｚの重み付き線形和で表される。
【数４】

ここで、λは重み係数ベクトルである。この重み係数ベクトルλは、（５）式の方程式を解くことで求められる。
【００５６】
【数５】

（５）式において、ηはラグランジェの未定係数、ｃ_０は推定位置ｕ_０と計測位置ｕ_ｉ（ｉ＝１、２‥‥Ｎ）との共分散ベクトルである。当該方程式を解くことで重み係数λを求めると、上記（４）式に求めたλを代入することで、任意地点ｕ_０における指標の推定値を得ることができ、また推定誤差標準偏差σ^＊（ｕ_０）は（６）式で求めることができる。
【数６】

【００５７】
推定部１３０は、以上のようにして事前に求められた空間変動特性を用い、離散的な実測値（図１のステップＳａ２で求められた値）から任意地点の指標の推定値および推定誤差標準偏差を求めるのである。なお、本実施形態では、指標の推定値や推定誤差標準偏差を求めるためにオーディナリ・クリギングと呼ばれる手法を用いるようにしているが、これ以外にも単純なシンプル・クリギングやより汎用的なユニバーサル・クリギングといた手法を用いるようにしてもよい。
【００５８】
ＰＣ１００における不適合領域特定部１５０は、以上のように推定部１３０によって求められた推定すべき地点における指標の推定値および推定誤差標準偏差に基づいて、ステップＳａ１で建設された地盤における品質の不適合領域を特定する。
【００５９】
より具体的には、不適合領域特定部１５０は、予め設定されている指標値条件を用い、推定すべき地点ｕ_０における指標値がその指標値条件を満たさない確率Ｐ（ｕ_０）を（７）式により算出する。つまり、その地点の地盤品質が良好でない確率を算出するのである。
【数７】

なお、上記（７）式においては、指標の値が大きい場合に品質が良好とされる指標を用いた場合であり、予め設定されている指標値条件は許容される指標の下限値ｚ_ｃである。
【００６０】
不適合領域特定部１５０は、以上のような確率を推定すべきよう指定された地点の全部について算出すると、算出された確率が予め設定された許容確率を上回るか否かを判別し、上回った場合にはその地点を不適合領域として特定する。例えば許容確率が５％に設定されている場合、推定すべき地点ｕ_ｋ（ｋ＝１、２‥‥Ｍ）のすべてについてＰ（ｕ_ｋ）を求め、Ｐ（ｕ_ｋ）≧０．０５となるか否かを判別する。そして、かかる判別結果が「ＹＥＳ」となる地点を不適合領域として特定する。
【００６１】
以上がＰＣ１００によって実施される不適合領域特定のための処理であり、本実施形態では、このような処理を行うＰＣ１００を用いて地盤の品質判定等を行うようにしている。すなわち、図１に示すように、ＰＣ１００に複数地点の指標の実測値等を取り込んだ後（ステップＳａ３）、ユーザはＰＣ１００のキーボード等を操作して実測地点以外の多数の地点を、指標値を推定すべき地点として設定する（ステップＳａ４）。例えば、図２に白丸で示す地点で実測を行った場合には、図４に黒丸で示すように、隣り合う実測地点間の複数の地点（２ｍ程度の間隔ごとの地点）を推定すべき地点として設定する。
【００６２】
このようにユーザによって設定された推定すべき地点がＰＣ１００の推定地点入力部１２０によって入力され、推定部１３０により、入力された各推定地点における指標の推定値および推定誤差標準偏差が求められる（ステップＳａ５）。
【００６３】
上述したようにＰＣ１００では、事前に求められている実測値の分散σ^２と自己相関関数Ｒ（ｈ）とに基づいて各推定地点の指標の推定値と推定誤差標準偏差が求められる。このような分散σ^２と自己相関関数Ｒ（ｈ）は、ステップＳａ２における実測の前に実測されたデータに基づいて作成されたものである。例えば、事前に実測された品質管理のための指標と位置（説明を簡易化するためＸ方向のみの位置としている）との関係として図５に示すような結果が得られた場合、このように得られた値から分散σ^２（図５の右側の分布形状参照）を求めるとともに、図６に示すように各位置における自己相関係数が求められるのである。
【００６４】
図６に示すように、求められた自己相関係数が大きい、つまり空間的相関が大きい場合には予測値のばらつきが少ないと考えられる一方で、求められた自己相関係数が小さい、つまり空間的相関が小さい場合には予測値のばらつきが大きくなると考えられる。このような事前の実測値から求めた分散σ^２および自己相関関数Ｒ（ｈ）と、ステップＳａ２の実測結果とに基づいて推定地点における指標の推定値と推定誤差標準偏差を求めるのである。
【００６５】
ここで、図７に上記分散σ^２および自己相関関数Ｒ（ｈ）を用いて求めた指標の推定値（実線）と、推定誤差（破線）と位置（Ｘ方向のみとする）との関係の一例を示す。同図に示すように、ＰＣ１００による分散σ^２および自己相関関数Ｒ（ｈ）を用いた上記の演算処理により任意設定された推定地点における指標の推定値と推定誤差を求めることができる。なお、図７中黒丸は実測値である。
【００６６】
以上のように各推定地点の指標の推定値と推定誤差標準偏差が求められると、上述したようにＰＣ１００により各推定地点における指標値が予め決められた品質許容条件（品質管理の下限値など）を満たさない確率が求められ、さらに求められた確率が予め決められた確率より大きいか否かが判別され、大きい場合にはその地点は不適合領域として特定される（ステップＳａ６）。すなわち、本実施形態では、図８に示すように、任意の推定位置Ｘにおける指標の推定値（最もとり得る確率が高い値であり、図中白丸で示す）と、その推定値がとり得る範囲を表す誤差の分布を得ることができ、指標値が予め定められた品質管理の下限値より小さくなりうる確率（図８中の黒塗り部分の面積／分布形状の全体面積）が予め決められた確率（例えば５％）より大きい場合にはその地点は不適合であると判定するのである。
【００６７】
ＰＣ１００によって推定地点が不適合領域であるか否かの判別結果が出力されると、ユーザは不適合領域があるか否かを判断する（ステップＳａ７）。例えば、ＬＣＤ（Ｌｉｑｕｉｄ Ｃｒｙｓｔａｌ Ｄｉｓｐｌａｙ）等の表示画面に図９に示すように判別結果画像を表示するための画像データを生成するようＰＣ１００を構成しておけばよい。同図に示すように、この表示画面では、各地点ごとに予め許容された品質条件を満たさない確率によって濃度を変えて（高いほど濃く）表すようにしており（高いほど濃く）、上記の設定確率（５％）を超える地点を最も濃く表わすようにしている。したがって、ユーザはかかる表示を参照することでどの領域が不適合領域であるか否かを容易に理解することができる。
【００６８】
以上のようにＰＣ１００の判別結果を参照し、不適合領域がある場合にはユーザはその不適合領域であるとの判定が２回目の実測値に基づくものであるか否かを判断する（ステップＳａ８）。そして、１回目の実測値に基づくものである場合（ステップＳａ８の判別「Ｎｏ」）、その不適合領域において再度指標の実測を行う（ステップＳａ９）。つまり、図９に示す黒線で囲われた不適合領域の複数地点において再度指標の実測を行うのである。かかる場合には当該領域内の品質判定をより正確になすために上記ステップＳａ２で行った１回目の実測地点よりも実測地点の間隔を密にして行うことが好ましい。
【００６９】
そして、不適合領域について２回目の実測を行うと、２回目の実測値をＰＣ１００に取り込み（ステップＳａ３）、上記１回目の実測値に対する工程と同様に、その領域内において推定すべき地点を設定し（ステップＳａ４）、分散σ^２と自己相関関数Ｒ（ｈ）とを用い、推定すべき地点における指標の推定値と推定誤差標準偏差を求める（ステップＳａ５）。そして、各地点において指標が許容条件を満たさない確率を求め、その確率が予め決められた確率を上回るか否かによって不適合領域を特定する（ステップＳａ６）。
【００７０】
そして、ユーザはＰＣ１００による出力結果から、２回目の実測値による不適合領域があるか否かを判断し（ステップＳａ７）、不適合領域がある場合には当該結果が２回目の実測値による判別結果であるか否かを判断し（ステップＳａ８）、この場合は２回目の実測値による判別結果であるので、再実測は行わずに建設した地盤における当該不適合領域に対して品質改善のための補修工事等を実施する（ステップＳａ１０）。
【００７１】
一方、１回目の実測値に基づくＰＣ１００の処理により不適合領域が特定されなかった場合や、２回目の実測値に基づくＰＣ１００の処理により不適合領域が特定されなかった場合には（ステップＳａ７の判別「Ｎｏ」）、ステップＳａ１で建設された地盤の全面において品質が良好であると考えられるので、補修等は行わない。
【００７２】
以上説明したように本実施形態では、建設した地盤に関して複数地点で品質に関する指標値（密度や地盤反力係数など）を実測すれば、実測地点以外の地点における指標の推定値および推定誤差標準偏差を得ることができ、さらに実測地点以外の地点における指標値が予め決められた許容条件を満たさない確率を求め、かかる確率が予め決められた値より大きい領域を不適合領域として特定することができる。
【００７３】
すなわち、建設した地盤の面積が大きい場合であっても、その全面にわたり多数の地点で実測を行うことなく、地盤全面にわたって点在する多数の地点の指標の推定値等を得ることができ、多数の地点において所望する品質を満たしていない危険性のある地点を不適合領域として特定することができる。したがって、本実施形態によれば、多数地点で実測を行うといったように多大な時間、労力、費用を要することなく、建設した地盤全域において品質の良否を判定することができる。
【００７４】
そして、上記のように全域における地盤品質の良否を判定して、品質がよくない可能性が高い領域を特定することができ、かかる領域に対しては補修等の品質改善対策を施すことで、全域にわたって所望の品質を満たす地盤建設が可能となる。
【００７５】
また、本実施形態では、１回目の実測値に基づいて特定した不適合領域、つまり品質がよくない可能性の高い領域については、再度指標の実測を行い、かかる実測結果に基づいて再度不適合領域の特定を行うようにしているので、その領域が品質不適合領域であるか否かをより正確に判定することができ、誤った判定に基づいて不要な補修作業等が行われてしまうことを防止することができる。
【００７６】
また、２回目の実測を行う地点を１回目の実測を行う地点よりも密（同じ面積であれば地点数を多くする）にすれば、より正確な品質判定が行えるようになる。この際、２回目の実測は１回目の実測により不適合領域と判定された領域のみについて行われるので、実測に要する時間、労力、費用等が大幅に増加してしまうことを抑制することができる。
【００７７】
Ｂ．変形例
なお、本発明は、上述した実施形態に限定されるものではなく、以下に例示するような種々の変形が可能である。
【００７８】
（変形例１）
上述した実施形態では、１回目の実測値に基づいて不適合領域であると判定された領域については再度指標の実測を行い、当該２回目の実測値に基づいて不適合領域を特定し、２回目の実測値に基づいて特定された領域については補修等を行うようになっていた。このように２回目の実測値に基づいて特定した不適合領域に対して補修を行う以外にも、２回目の実測値に基づいて特定した不適合領域に対して再度実測を行い、３回目の実測値に基づいて不適合領域を特定するといったように３回以上の実測を行うようにしてもよい。
【００７９】
（変形例２）
また、上述した実施形態では、２回目の実測値に基づいて特定された不適合領域に対して品質改善のための補修工事等を行うようにしていたが、かかる補修工事の結果、当該領域の品質が改善したか否かを判別するために補修後に当該領域の複数地点において指標を実測し、かかる補修後の実測値に基づいて不適合領域でなくなるか、つまり当該領域内のすべての推定地点の指標が許容条件を満たさない確率が設定値より低くなるかを判別し、かかる判別結果が否定的である場合には肯定的な判別結果が得られるまで補修等を行うようにしてもよい。例えば、２回目の実測値に基づいて、図９に示すような判別結果が得られた場合には、図１０に示すように不適合領域がなくなるといった判別結果が得られるまで補修等を行う。
【００８０】
（変形例３）
また、上述した実施形態では、ＰＣ１００の不適合領域特定部１５０が、推定地点の指標の推定値が許容条件を満たさない確率が予め設定された確率よりも大きい場合にその地点を不適合と判定するようにしていたが、推定地点の指標の推定値が許容条件を満たす確率を求め、かかる確率が予め設定された確率より小さい場合にその地点を不適合領域として判定するようにしてもよい。
【００８１】
（変形例４）
また、上述した実施形態では、ＰＣ１００に内蔵されるＣＰＵ等が外部記憶装置等に記憶されたプログラムを読み出して動作することにより、上述した不適合領域特定のための処理を行うようになっていたが、このようなソフトウェアにより実現される機能と同様の機能をハードウェア回路によって実現するようにしてもよいし、コンピュータにこのような処理を実行させるためのプログラムをインターネット等の通信回線を介してユーザに提供するようにしてもよいし、当該プログラムをＣＤ−ＲＯＭ（Ｃｏｍｐａｃｔ Ｄｉｓｃ−Ｒｅａｄ Ｏｎｌｙ Ｍｅｍｏｒｙ）などのコンピュータ読み取り可能な記録媒体に記録してユーザに提供するようにしてもよい。
【００８２】
（変形例５）
また、上述した実施形態では、地盤を新たに建設した後に、その地盤の複数地点で地盤の品質に関する指標を実測し、かかる実測値に基づいて品質不適合領域を特定するといった建設方法に本発明を適用した場合について説明したが、すでに建設されて使用されている地盤のメンテナンス等をする際に、当該地盤について、上記実施形態のように複数地点で指標を実測し、かかる実測値から不適合領域を特定し、その結果を参照してメンテナンスの要否、必要な場合にはメンテナンスの内容等を決定するようにしてもよい。
【００８３】
【発明の効果】
以上説明したように、請求項１にかかる発明によれば、多数地点で指標を実測するといった時間、労力、費用のかかる作業を行わなくても、地盤全域にわたる品質を判定することができるという効果を奏する。
【００８４】
また、請求項２にかかる発明によれば、より正確に地盤の任意地点における品質が許容条件を満たさない確率を求めることができ、より正確な品質不適合領域の特定が可能となるという効果を奏する。
【００８５】
また、請求項３にかかる発明によれば、多数地点で指標を実測するといった時間、労力、費用のかかる作業を行わなくても、地盤全域にわたる品質を判定することができるという効果を奏する。
【００８６】
また、請求項４にかかる発明によれば、より正確に地盤の任意地点の品質が許容条件を満たす確率を求めることができ、より正確な品質不適合領域の特定が可能となるという効果を奏する。
【００８７】
また、請求項５にかかる発明によれば、特定された不適合領域について再度指標の実測が行われるので、当該不適合領域の品質が不良であるか否かをより正確に判定することができるという効果を奏する。
【００８８】
また、請求項６にかかる発明によれば、より正確な不適合領域の特定が可能となるという効果を奏する。
【００８９】
また、請求項７にかかる発明によれば、特定された不適合領域について再度指標の実測が行われるので、当該不適合領域の品質が不良であるか否かをより正確に判定することができるという効果を奏する。
【００９０】
また、請求項８にかかる発明によれば、より正確な不適合領域の特定が可能となるという効果を奏する。
【００９１】
また、請求項９にかかる発明によれば、多数地点で指標を実測するといった時間、労力、費用のかかる作業を行わなくても、地盤全域にわたる品質を判定することができるという効果を奏する。
【００９２】
また、請求項１０にかかる発明によれば、多数地点で指標を実測するといった時間、労力、費用のかかる作業を行わなくても、地盤全域にわたる品質を判定することができるという効果を奏する。
【００９３】
また、請求項１１にかかる発明によれば、多数地点で指標を実測するといった時間、労力、費用のかかる作業を行うことなく、より正確に建設した地盤全域の品質判定を行うことができるという効果を奏する。
【００９４】
また、請求項１２にかかる発明によれば、多数地点で指標を実測するといった時間、労力、費用のかかる作業を行うことなく、建設した地盤全域にわたる品質を判定することができるという効果を奏する。
【００９５】
また、請求項１３にかかる発明によれば、多数地点で指標を実測するといった時間、労力、費用のかかる作業を行うことなく、地盤全域にわたる品質を判定することができ、品質がよくない可能性の高い領域に対して補修を行うので、品質のよい地盤建設が可能となるという効果を奏する。
【００９６】
また、請求項１４にかかるプログラムをコンピュータに実行させることで、多数地点で指標を実測するといった時間、労力、費用のかかる作業を行わなくても、地盤全域にわたる品質を判定することができるという効果を奏する。
【００９７】
また、請求項１５にかかるプログラムをコンピュータに実行させることで、多数地点で指標を実測するといった時間、労力、費用のかかる作業を行わなくても、地盤全域にわたる品質を判定することができるという効果を奏する。
【図面の簡単な説明】
【図１】本発明の一実施形態にかかる地盤品質判定方法を伴う地盤建設方法の手順を示すフローチャートである。
【図２】建設した地盤品質の判定を行うために地盤に関する指標を実測する地点の位置の一例を示す図である。
【図３】前記地盤品質判定方法に用いられるＰＣの機能構成を示すブロック図である。
【図４】建設した地盤品質の判定を行うための地盤に関する指標を実測する地点と、指標等を推定する推定地点との位置を示す図である。
【図５】前記地盤品質判定方法において事前に行われる指標の実測により得られる指標値と位置の関係および実測値の分散を示す図である。
【図６】前記事前に行われる指標の実測から得られる自己相関係数と位置との関係である自己相関関数を示すグラフである。
【図７】前記実測値の分散と自己相関係数を用いることで求められる指標の推定値および推定誤差と位置との関係を示す図である。
【図８】ある地点における指標の推定値と誤差分布とを示す図であって、これらから当該地点において指標が品質の下限値を下回る確率を求める手法を模式的に示す図である。
【図９】前記地盤品質判定方法による品質不適合領域の有無および領域範囲を示す出力結果の一例を示す図である。
【図１０】補修後の前記地盤全域の品質状況を示す図である。
【符号の説明】
１００ ＰＣ
１１０ 実測値取得部
１２０ 推定地点入力部
１３０ 推定部
１４０ 空間変動特性記憶部
１５０ 不適合領域特定部[0001]
TECHNICAL FIELD OF THE INVENTION
The present invention relates to a ground quality determination method, a ground quality determination device, a ground construction method, and a program for determining ground quality.
[0002]
[Prior art]
2. Description of the Related Art Conventionally, as a method of managing the quality of ground such as embankment, there is a method of using a density meter by RI (radio isotope). In this method, for example, a ground construction area of 2000 m ² In the case of, density measurement after compaction is performed at 15 points on the ground, and quality is controlled based on the measurement results at those points.
[0003]
In addition, in the geological survey for obtaining the geological boundary level such as the basic ground level, a method for estimating the basic ground level using the measured data of the geological boundary level obtained by the survey drilling and the measured data of the ground surface is proposed. (For example, see Patent Document 1).
[0004]
[Patent Document 1]
JP-A-10-9903
[0005]
[Problems to be solved by the invention]
However, 2000m as above ² In the conventional quality control method using only 15 measurement results to control the quality of the ground having such an area, there is a possibility that the state of the ground quality may not be accurately grasped. Therefore, it is preferable to perform measurement at a larger number of points and perform quality control such as judging quality from the measurement results. However, when measuring at more points, the time, labor, and cost required for the measurement increase, and at present, quality control has to be performed based on the measurement results at a small number of points as described above. .
[0006]
In addition, the method of estimating the stratum boundary level using the measured data at the stratum boundary level and the measured data at the ground surface level is a method of estimating the stratum boundary level, and the quality, that is, the quality is judged from the estimation result. Can not.
[0007]
The present invention has been made in view of the above, and even when the area of the ground whose quality is to be determined is large, it is possible to perform a more accurate quality evaluation while suppressing time, labor, and cost. It is an object to obtain a method, a ground quality determination method, a ground construction method, and a program.
[0008]
[Means for Solving the Problems]
In order to achieve the above object, the invention according to claim 1 includes an actual measurement step of actually measuring an index relating to ground quality at a plurality of points on the ground to be determined, and a method for measuring an index other than an actual measurement point based on the index actually measured in the actual measurement step. Determining a probability that the index at the point does not satisfy a predetermined index value condition, and specifying a region where the probability is larger than a predetermined value as a quality nonconforming region. Is the way.
[0009]
According to the invention according to claim 1, the probability that the predetermined condition of the index at a point other than the actual measurement point does not satisfy the predetermined condition is obtained based on the index regarding the quality actually measured at a plurality of points on the ground. Area that is larger than the specified value, that is, a high-risk area with poor quality.The quality over the entire ground without the time, labor, and costly work of measuring the indicators at multiple points. Can be determined.
[0010]
According to a second aspect of the present invention, in the configuration according to the first aspect, in the specifying step, an estimated value of the index and an estimated error are calculated based on a variance of an actually measured value and an autocorrelation coefficient obtained in advance. A standard deviation is obtained, and a probability that an index at a point other than an actual measurement point does not satisfy a predetermined index value condition is obtained from the obtained estimated value of the index and the estimated error standard deviation.
[0011]
According to the second aspect of the present invention, the estimated value and the estimated error standard deviation of the index other than the actually measured point are obtained based on the variance of the actually measured value and the autocorrelation coefficient obtained in advance. Since the probability that the index of the point other than the actual measurement point does not satisfy the predetermined condition is obtained using the deviation, the probability can be obtained more accurately, and the more accurate quality nonconforming area can be specified. .
[0012]
The invention according to claim 3 is a step of actually measuring an index relating to ground quality at a plurality of points on the ground to be determined, and setting an index at a point other than the actual measurement point based on the index actually measured at the actual measurement step. Determining a probability that satisfies a predetermined index value condition, and specifying a region in which the probability is smaller than a predetermined value as a quality nonconforming region.
[0013]
According to the invention according to claim 3, the probability that a predetermined condition of the index at a point other than the actual measurement point is satisfied is determined based on the index regarding the quality actually measured at a plurality of points on the ground, and the probability is determined in advance. Area, that is, high-risk areas where the quality is not good, and the quality over the entire ground can be measured without the time, labor, and costly work of measuring indicators at many points. Can be determined.
[0014]
According to a fourth aspect of the present invention, in the configuration according to the third aspect of the present invention, in the specifying step, an estimated value of the index and an estimated error are calculated based on a variance of an actually measured value and an autocorrelation coefficient obtained in advance. The method is characterized in that a standard deviation is obtained, and a probability that the index at a point other than the actual measurement point satisfies a predetermined index value condition is obtained from the obtained estimated value of the index and the estimated error standard deviation.
[0015]
According to the invention according to claim 4, the estimated value and the estimated error standard deviation of the index other than the actually measured point are obtained based on the variance of the actually measured value and the autocorrelation coefficient obtained in advance. Since the probability that the index of the point other than the actual measurement point satisfies the predetermined condition is obtained using the deviation, the probability can be obtained more accurately, and the quality nonconforming area can be specified more accurately.
[0016]
According to a fifth aspect of the present invention, in the configuration of the first or second aspect of the present invention, a re-measurement step of actually measuring the index with respect to the quality mismatch area specified in the specifying step is further provided. I do.
[0017]
According to the fifth aspect of the invention, since the actual measurement of the index is performed again for the specified nonconforming area, it is possible to more accurately determine whether or not the quality of the nonconforming area is poor.
[0018]
According to a sixth aspect of the present invention, in the configuration of the fifth aspect of the invention, the index at a point other than the re-measured point satisfies a predetermined index value condition based on the index actually measured in the re-measuring step. The method further includes a re-identification step of determining a probability that the probability is not high and identifying a region where the probability is larger than a predetermined value as a quality nonconforming region.
[0019]
According to the invention according to claim 6, the actual measurement of the index is performed again for the specified nonconforming area, and the probability that the index at a point other than the actual measurement point does not satisfy the predetermined index value condition is determined again from the actual measurement result. Since the area where the probability is obtained and the probability is larger than a predetermined value is specified as the quality nonconforming area, the nonconforming area can be specified more accurately.
[0020]
The invention according to claim 7 is the configuration of the invention according to claim 3 or 4, further comprising a re-measurement step of actually measuring the index for the quality nonconforming area specified in the specification step. I do.
[0021]
According to the seventh aspect of the invention, since the actual measurement of the index is performed again for the specified nonconforming area, it is possible to more accurately determine whether or not the quality of the nonconforming area is poor.
[0022]
According to an eighth aspect of the present invention, in the configuration according to the seventh aspect, an index at a point other than the re-measured point satisfies a predetermined index value condition based on the index actually measured in the re-measuring step. The method further includes a re-identification step of obtaining a probability and identifying a region where the probability is smaller than a predetermined value as a quality nonconforming region.
[0023]
According to the invention according to claim 8, the actual measurement of the index is performed again on the specified nonconforming area, and the probability that the index at a point other than the actual measurement point satisfies the predetermined index value condition is calculated again from the actual measurement result. Since a region in which the probability is smaller than a predetermined value is specified as a quality nonconforming region, a more accurate nonconforming region can be specified.
[0024]
Further, the invention according to claim 9 is an acquisition unit that acquires an index related to ground quality actually measured at a plurality of points on the ground to be determined, and an acquisition unit that acquires an index related to the ground quality based on the index acquired by the acquisition unit. A ground quality determination device, comprising: a determination unit that determines a probability that the index does not satisfy a predetermined index value condition and specifies a region in which the probability is larger than a predetermined value as a quality nonconforming region. is there.
[0025]
According to the ninth aspect of the present invention, the probability that the predetermined condition of the index at a point other than the actual measurement point does not satisfy the predetermined condition is obtained based on the index regarding the quality actually measured at a plurality of points on the ground. Area that is larger than the specified value, that is, a high-risk area with poor quality.The quality over the entire ground without the time, labor, and costly work of measuring the indicators at multiple points. Can be determined.
[0026]
Further, the invention according to claim 10 is an acquisition unit that acquires an index related to ground quality actually measured at a plurality of points of the ground to be determined, and at a point other than the actual measurement point based on the index acquired by the acquisition unit. A ground quality determination device comprising: a determination unit that determines a probability that an index satisfies a predetermined index value condition, and specifies a region in which the probability is smaller than a predetermined value as a quality nonconforming region. .
[0027]
According to the invention according to claim 10, the probability that a predetermined condition of the index at a point other than the actual measurement point is satisfied is calculated based on the index regarding the quality actually measured at a plurality of points on the ground, and the probability is determined in advance. Area, that is, high-risk areas where the quality is not good, and the quality over the entire ground can be measured without the time, labor, and costly work of measuring indicators at many points. Can be determined.
[0028]
The invention according to claim 11 is a construction step of constructing the ground, an actual measurement step of actually measuring an index relating to the ground quality at a plurality of points on the ground, and a step other than the actual measurement point based on the index actually measured in the actual measurement step. Determining a probability that the index at the point does not satisfy the predetermined index value condition, and specifying a region where the probability is larger than the predetermined value as a quality nonconforming region. It is.
[0029]
According to the invention according to claim 11, the probability that the predetermined condition of the index at a point other than the actually measured point does not satisfy the predetermined condition is obtained based on the index regarding the quality actually measured at a plurality of points on the ground. An area larger than the given value, that is, a high-risk area having poor quality can be specified. Therefore, it is possible to more accurately judge the quality of the entire constructed ground without performing time-consuming, labor-intensive and expensive work such as actually measuring the index at many points.
[0030]
Further, the invention according to claim 12 is a construction step of constructing the ground, an actual measurement step of actually measuring an index relating to the ground quality at a plurality of points on the ground, and a step other than the actual measurement point based on the index actually measured in the actual measurement step. Determining a probability that the index at the point satisfies a predetermined index value condition, and specifying a region in which the probability is smaller than a predetermined value as a quality nonconforming region. is there.
[0031]
According to the twelfth aspect of the present invention, a probability that satisfies a predetermined condition of an index at a point other than an actual measurement point is obtained based on an index relating to quality actually measured at a plurality of points on the ground, and the probability is determined in advance. It is possible to specify an area smaller than the value, that is, an area having a high risk of poor quality. Therefore, it is possible to determine the quality over the entire area of the constructed ground without performing time-consuming, labor-intensive and expensive work such as actually measuring the index at many points.
[0032]
According to a thirteenth aspect of the present invention, in the configuration of the eleventh or twelfth aspect, the method further comprises a repairing step of repairing the quality nonconforming area of the ground specified in the specifying step. And
[0033]
According to the invention according to claim 13, the quality over the entire ground can be determined without performing time-consuming, labor-intensive and expensive work such as actually measuring the index at many points, and the quality is likely to be poor. Since the area is repaired, high quality ground construction becomes possible.
[0034]
Further, the invention according to claim 14 is a computer, the acquisition means for acquiring an index relating to the ground quality actually measured at a plurality of points of the ground to be determined, based on the index acquired by the acquisition means other than the actual measurement point A program for determining a probability that an index at a point does not satisfy a predetermined index value condition, and functioning as specifying means for specifying a region where the probability is larger than a predetermined value as a quality nonconforming region.
[0035]
By causing the computer to execute the program according to claim 14, the probability that the predetermined condition of the index at a point other than the actual measurement point is not satisfied is obtained based on the index regarding the quality actually measured at a plurality of points on the ground. It is possible to identify areas where the probability is larger than a predetermined value, that is, areas with high risk of poor quality, without having to perform time-consuming, labor-intensive operations such as actually measuring indicators at multiple points. The quality over the entire ground can be determined.
[0036]
The invention according to claim 15 is a computer, comprising: an acquisition unit that acquires an index relating to ground quality actually measured at a plurality of points on the ground to be determined, and a computer other than an actual measurement point based on the index acquired by the acquisition unit. A program for determining a probability that an index at a point satisfies a predetermined index value condition, and causing the area to function as specifying means for specifying a region smaller than a predetermined value as a quality nonconforming region.
[0037]
By causing the computer to execute the program according to claim 15, a probability that satisfies a predetermined condition of an index at a point other than the actually measured point is obtained based on an index regarding quality measured at a plurality of points on the ground. Is smaller than a predetermined value, that is, a high-risk area with poor quality can be specified, and the ground can be measured without performing time-consuming, labor-intensive and expensive operations such as measuring the index at multiple points. A global quality can be determined.
[0038]
BEST MODE FOR CARRYING OUT THE INVENTION
Hereinafter, preferred embodiments of a ground quality determination method, a ground quality determination device, a ground construction method, and a program according to the present invention will be described in detail with reference to the accompanying drawings.
[0039]
A. Embodiment
FIG. 1 is a flowchart illustrating a procedure of a ground construction method involving a ground quality determination method according to an embodiment of the present invention. As shown in the figure, in the ground construction method according to the present embodiment, first, the ground is constructed (step Sa1).
[0040]
When the ground is constructed, an index relating to the quality of the ground is actually measured at a plurality of points on the constructed ground (step Sa2). Indices relating to the quality of the ground include density, ground reaction force coefficient, elastic coefficient, S-wave velocity, and the like. The density is measured using a densitometer based on RI, and the soil reaction force coefficient is measured using FWD (Falling). A measurement method according to an index to be actually measured is performed, such as measurement using a Weight Deflector device.
[0041]
Here, the position of the point where the index is actually measured on the construction ground is arbitrary, and may be a random position. In the present embodiment, however, in this embodiment, about 10,000 m of about 100 m × about 100 m shown in FIG. ² A grid-like point at an interval of about 10 m on the ground of is set as an actual measurement point. In addition, the actual measurement position of the index can be detected by using a GPS (Global Positioning System) at the time of measurement, whereby information including a pair of the detection position and the actual measurement value of the index at that position can be obtained. The positions of the actual measurement points in FIG. 2 are indicated by white circles.
[0042]
When an index relating to the ground is actually measured at the above-described points, information including a pair of the position and the actually measured value is taken into a PC (Personal Computer) (step Sa3). As a method of taking these information into the PC, for example, a method of connecting the actual measurement device and the PC by wireless or wired communication means and supplying the information from the actual measurement device to the PC may be used, or the method once acquired by the actual measurement device may be used. The measured values and the like may be recorded on a portable recording medium, the portable recording medium may be set in the PC, and the measured values and the like recorded on the PC may be read out to allow the PC to capture the measured values. .
[0043]
The PC according to the present embodiment includes an external storage device such as a hard disk that stores a program for performing a process of specifying a quality nonconforming area in the entire ground based on the index values regarding the ground actually measured at a plurality of points as described above. Have. By operating according to the program stored in the external storage device, the PC functions as a ground quality determination device that realizes a function as shown in FIG. That is, in the present embodiment, the steps from step Sa4 to step Sa6 shown in FIG. 1 are performed using a PC. In the following, the details of the processing executed by the PC 100 will be described first, and then the processes of steps Sa4 to Sa6 will be described.
[0044]
As illustrated in FIG. 3, the PC 100 includes an actual measurement value acquiring unit 110, an estimated point input unit 120, an estimating unit 130, a spatial variation characteristic storage unit 140, and a nonconforming area specifying unit 150.
[0045]
As described above, the actual measurement value acquiring unit 110 acquires the position information of a plurality of points and the actual measurement value of the index, which are actually measured by the actual measurement device or the like. Here, the method of acquiring these data by the actually measured value acquiring unit 110 is such that when these data are recorded on a portable recording medium, the data is acquired by reading the data from the portable recording medium. When the value actually measured is supplied to the PC 100 in real time via a signal cable or the like, the supplied value is acquired.
[0046]
The estimated point input unit 120 inputs a point at which an index specified by a user's operation of a mouse, a keyboard, or the like is to be estimated.
[0047]
The estimating unit 130 obtains the estimated value of the index and the estimated error standard deviation at the point to be estimated input by the estimated point input unit 120. When obtaining the estimated value of the index and the estimated error standard deviation at the point to be estimated in this way, the estimating unit 130 uses the variance and the autocorrelation function of the actually measured value stored in advance in the spatial variation characteristic storage unit 140 to perform the actual measurement. An index estimation value and an estimation error standard deviation at a point to be estimated from the actual measurement value acquired by the value acquisition unit 110 are obtained.
[0048]
Hereinafter, a method for deriving the variance of the measured values and the autocorrelation function stored in the spatial variation characteristic storage unit 140 and a method for deriving the estimated value of the index and the estimated error standard deviation by the estimating unit 130 will be described.
[0049]
First, a method of deriving the variance of the measured values and the autocorrelation function will be described. In order to obtain an estimated value of an arbitrary position from the discrete measured data by the spatial statistical method, the spatial variation characteristics of the measured data measured in advance are modeled, and the index of the index is calculated using the modeled spatial variation characteristics. The estimating unit 130 in the present embodiment calculates the estimated value and the like. In the present embodiment, the variance σ represents the spatial variation characteristic. ² And an autocorrelation function R (h), which are modeled in advance as described below and stored in the spatial variation characteristic storage unit 140.
[0050]
The N index values actually measured for the ground in advance are expressed as a vector z as in equation (1). Further, the autocorrelation function R (h) is expressed by two points u, for example, as in equation (2). _i , U _j Distance between h = | u _i −u _j | As a function of |.
(Equation 1)

(Equation 2)

Note that u _i Indicates measurement position coordinates.
[0051]
Generally, this is called an exponential function type model. In addition to this, there are a spherical function type model, a Gaussian type model, and the like, and these can also be used. I do. The parameter to be obtained is the variance σ ² And a, which is called the correlation distance, and is estimated using the maximum likelihood method. As is well known, the maximum likelihood method is a method of estimating a parameter called likelihood that maximizes a probability density.
[0052]
Where the variance σ ² From the autocorrelation function R (h), the covariance function C (h) = σ ² Defined as R (h). The covariance matrix obtained by applying the covariance functions to all N measurement positions is denoted by Q. That is, the covariance matrix Q is an N × N symmetric matrix and the (i, j) component Q _ij Is C (| u _i −u _j |). Here, the negative log likelihood L is expressed as in equation (3).
[Equation 3]

By minimizing the log likelihood L, the parameter variance σ included in the function L ² And a correlation distance a is determined.
[0053]
The variance σ, which is the spatial variation characteristic obtained in advance from the measured data by the above procedure, ² And the autocorrelation function R (h) are stored in the spatial variation characteristic storage unit 140, and the estimation unit 130 ² Then, using the autocorrelation coefficient determined from the autocorrelation function R (h), the estimated value of the index of the point to be estimated and the estimated error standard deviation are obtained.
[0054]
Next, using the spatial variation characteristic previously obtained and stored as described above, an arbitrary position u is calculated from discrete measured values. ₀ The procedure for obtaining the estimated value of the index and the estimated error standard deviation will be described.
[0055]
In the present embodiment, a space estimation method called ordinary kriging is used, and an arbitrary point u ₀ Of the index at ^* (U ₀ ) Is represented by a weighted linear sum of the measurement value vectors z as in equation (4).
(Equation 4)

Here, λ is a weight coefficient vector. The weight coefficient vector λ is obtained by solving the equation (5).
[0056]
(Equation 5)

In equation (5), η is Lagrange's undetermined coefficient, c ₀ Is the estimated position u ₀ And measurement position u _i (I = 1, 2 ‥‥ N). When the weight coefficient λ is obtained by solving the equation, the arbitrary point u can be obtained by substituting the obtained λ into the above equation (4). ₀ And an estimation error standard deviation σ ^* (U ₀ ) Can be obtained by equation (6).
(Equation 6)

[0057]
The estimating unit 130 uses the spatial variation characteristics obtained in advance as described above to calculate the estimated value of the index at an arbitrary point and the estimated error standard from the discrete measured values (the values obtained in step Sa2 in FIG. 1). Find the deviation. In the present embodiment, a method called ordinary kriging is used to obtain the estimated value of the index and the standard deviation of the estimation error. Kriging may be used.
[0058]
The nonconforming area specifying unit 150 in the PC 100 determines the nonconforming area of the quality of the ground constructed in step Sa1 based on the estimated value of the index and the estimated error standard deviation at the point to be estimated obtained by the estimating unit 130 as described above. To identify.
[0059]
More specifically, the nonconforming area specifying unit 150 uses the index value condition set in advance to determine the point u to be estimated. ₀ The probability that the index value at does not satisfy the index value condition P (u ₀ ) Is calculated by equation (7). That is, the probability that the ground quality at that point is not good is calculated.
(Equation 7)

Note that, in the above equation (7), the case where an index whose quality is good when the index value is large is used, and the preset index value condition is the allowable lower limit value z of the index. _c It is.
[0060]
When the non-conforming area specifying unit 150 calculates all of the points designated to estimate the above-described probabilities, it determines whether the calculated probabilities exceed a preset allowable probability, and Specifies the point as a nonconforming area. For example, if the allowable probability is set to 5%, the point u to be estimated _k P (u) for all (k = 1, 2 ‥‥ M) _k ), And P (u _k ) It is determined whether or not ≧ 0.05. Then, a point where the determination result is “YES” is specified as a nonconforming area.
[0061]
The above is the processing for specifying the nonconforming area performed by the PC 100. In the present embodiment, the quality of the ground is determined using the PC 100 that performs such processing. That is, as shown in FIG. 1, after taking the measured values of the indices at a plurality of points into the PC 100 (step Sa3), the user operates a keyboard or the like of the PC 100 to set a large number of points other than the actually measured points to the index values. It is set as a point to be estimated (step Sa4). For example, when an actual measurement is performed at a point indicated by a white circle in FIG. 2, as shown by a black circle in FIG. 4, a plurality of points (points at intervals of about 2 m) between adjacent actually measured points are to be estimated. Set as
[0062]
The point to be estimated thus set by the user is input by the estimated point input unit 120 of the PC 100, and the estimation unit 130 obtains the estimated value of the index and the estimated error standard deviation at each of the input estimated points (step). Sa5).
[0063]
As described above, in the PC 100, the variance σ of the actually measured value obtained in advance ² The estimated value of the index at each estimated point and the estimated error standard deviation are obtained based on the and the autocorrelation function R (h). Such a variance σ ² And the autocorrelation function R (h) are created based on data measured before the actual measurement in step Sa2. For example, when a result as shown in FIG. 5 is obtained as a relationship between a previously measured index for quality control and a position (a position in the X direction only for the sake of simplicity of description), From the obtained value, the variance σ ² (See the distribution shape on the right side of FIG. 5), and the autocorrelation coefficient at each position is obtained as shown in FIG.
[0064]
As shown in FIG. 6, when the calculated autocorrelation coefficient is large, that is, when the spatial correlation is large, it is considered that the dispersion of the predicted values is small, while the calculated autocorrelation coefficient is small, When the target correlation is small, it is considered that the dispersion of the predicted values increases. Variance σ found from such previously measured values ² Then, the estimated value of the index and the estimated error standard deviation at the estimated point are obtained based on the autocorrelation function R (h) and the actual measurement result in step Sa2.
[0065]
Here, FIG. ² And an example of a relationship between an estimated value of an index (solid line) obtained using the autocorrelation function R (h), an estimation error (broken line), and a position (only in the X direction). As shown in FIG. ² The estimation value and the estimation error of the index at the estimation point arbitrarily set can be obtained by the above arithmetic processing using the autocorrelation function R (h). Note that the black circles in FIG. 7 are actually measured values.
[0066]
When the estimated value of the index at each estimated point and the estimated error standard deviation are obtained as described above, the index value at each estimated point is determined in advance by the PC 100 as described above. Is determined, and it is determined whether the calculated probability is larger than a predetermined probability. If the calculated probability is larger, the point is specified as a nonconforming area (step Sa6). That is, in the present embodiment, as shown in FIG. 8, the estimated value of the index at an arbitrary estimated position X (a value that has the highest possible probability and is indicated by a white circle in the figure) and the range that the estimated value can take Is obtained, and the probability that the index value can be smaller than the predetermined lower limit of quality control (the area of the black portion / the entire area of the distribution shape in FIG. 8) is determined in advance. If it is larger than the probability (for example, 5%), the point is determined to be non-conforming.
[0067]
When the PC 100 outputs a result of determining whether or not the estimated point is in the nonconforming area, the user determines whether or not there is a nonconforming area (step Sa7). For example, the PC 100 may be configured to generate image data for displaying a determination result image on a display screen such as an LCD (Liquid Crystal Display) as shown in FIG. As shown in the figure, on this display screen, the density is changed (the higher the density, the higher the density) according to the probability that the quality condition that is previously allowed is not satisfied for each point. Points that exceed the probability (5%) are displayed most densely. Therefore, the user can easily understand which area is the non-conforming area by referring to the display.
[0068]
As described above, by referring to the determination result of the PC 100, if there is an incompatible area, the user determines whether or not the determination of the incompatible area is based on the second actually measured value (step Sa8). . If it is based on the first measured value (determination "No" in step Sa8), the index is again measured in the nonconforming area (step Sa9). That is, the actual measurement of the index is performed again at a plurality of points in the nonconforming area surrounded by the black line shown in FIG. In such a case, it is preferable that the distance between the actual measurement points is made closer than the first actual measurement point performed in step Sa2 in order to more accurately determine the quality in the area.
[0069]
Then, when the second actual measurement is performed on the nonconforming area, the second actual measurement is taken into the PC 100 (step Sa3), and a point to be estimated in the area is set in the same manner as in the process for the first actual measurement. (Step Sa4), variance σ ² The estimated value of the index at the point to be estimated and the estimated error standard deviation are obtained using the data and the autocorrelation function R (h) (step Sa5). Then, a probability that the index does not satisfy the permissible condition at each point is obtained, and the non-conforming area is specified based on whether the probability exceeds a predetermined probability (step Sa6).
[0070]
Then, the user determines from the output result of the PC 100 whether or not there is a non-conforming area based on the second actually measured value (step Sa7). It is determined whether or not there is any (Step Sa8). In this case, since the determination result is based on the second actually measured value, repair work for improving the quality of the nonconforming area on the ground constructed without remeasurement is performed. And so on (Step Sa10).
[0071]
On the other hand, when the non-conforming area is not specified by the processing of the PC 100 based on the first measured value, or when the non-conforming area is not specified by the processing of the PC 100 based on the second measured value (the determination in step Sa7). No)), since the quality of the entire surface of the ground constructed in step Sa1 is considered to be good, no repair or the like is performed.
[0072]
As described above, in the present embodiment, if the index values related to quality (density, ground reaction force coefficient, etc.) are actually measured at a plurality of points with respect to the constructed ground, the estimated values and estimated error standard deviations of the indexes at points other than the actually measured points are obtained. Can be obtained, and the probability that the index value at a point other than the actual measurement point does not satisfy the predetermined allowable condition can be obtained, and a region where the probability is larger than the predetermined value can be specified as a nonconforming region.
[0073]
In other words, even when the area of the constructed ground is large, it is possible to obtain estimated values and the like of the indices of a large number of points scattered over the entire surface without actually measuring at many points over the entire surface. A risky point that does not satisfy the desired quality at the point can be specified as a nonconforming area. Therefore, according to the present embodiment, it is possible to determine the quality of the entire constructed ground without requiring much time, labor, and cost, such as performing actual measurement at many points.
[0074]
Then, by judging the quality of the ground quality in the entire area as described above, it is possible to specify an area having a high possibility that the quality is not good, and to perform quality improvement measures such as repair on such an area, Ground construction that satisfies the desired quality over the entire area becomes possible.
[0075]
Further, in the present embodiment, for the nonconforming area specified based on the first actual measurement value, that is, for the area where the quality is likely to be poor, the actual measurement of the index is performed again, and the nonconforming area is again determined based on the actual measurement result. Since the identification is performed, it is possible to more accurately determine whether or not the area is a quality nonconforming area, thereby preventing unnecessary repair work or the like from being performed based on an incorrect determination. be able to.
[0076]
Further, if the point where the second actual measurement is performed is denser than the point where the first actual measurement is performed (the number of points is increased if the area is the same), more accurate quality determination can be performed. At this time, since the second actual measurement is performed only on the area determined to be a nonconforming area by the first actual measurement, it is possible to suppress a significant increase in time, labor, cost, and the like required for the actual measurement.
[0077]
B. Modified example
Note that the present invention is not limited to the above-described embodiment, and various modifications as exemplified below are possible.
[0078]
(Modification 1)
In the above-described embodiment, for an area determined to be a nonconforming area based on the first actual measurement value, the actual measurement of the index is performed again, and the nonconforming area is specified based on the second actual measurement value. The area specified based on the actual measurement value is to be repaired. In addition to repairing the non-conforming area specified based on the second actual measurement value, the actual measurement is again performed on the non-conforming area specified based on the second actual measurement value and the third actual measurement value The actual measurement may be performed three or more times, such as specifying the non-conforming area based on the data.
[0079]
(Modification 2)
Further, in the above-described embodiment, repair work or the like for quality improvement is performed on the nonconforming area specified based on the second actually measured value. As a result of such repair work, the quality of the area is reduced. In order to determine whether or not the area has improved, the indices are actually measured at a plurality of points in the area after the repair, and based on the measured values after the repair, the area is no longer a non-conforming area, that is, the indices of all estimated points in the area It may be determined whether the probability that does not satisfy the allowable condition is lower than the set value, and if the result of the determination is negative, repair or the like may be performed until a positive determination result is obtained. For example, when a determination result as shown in FIG. 9 is obtained based on the second actually measured value, repair or the like is performed until a determination result that there is no nonconforming area as shown in FIG. 10 is obtained.
[0080]
(Modification 3)
Further, in the above-described embodiment, when the probability that the estimated value of the index of the estimated point does not satisfy the allowable condition is larger than a predetermined probability, the nonconforming area specifying unit 150 of the PC 100 determines that the point is nonconforming. However, the probability that the estimated value of the index of the estimated point satisfies the permissible condition may be obtained, and if the probability is smaller than a predetermined probability, the point may be determined as a nonconforming area.
[0081]
(Modification 4)
In the above-described embodiment, the CPU or the like built in the PC 100 reads the program stored in the external storage device or the like and operates to perform the above-described process for specifying the nonconforming area. A function similar to the function realized by such software may be realized by a hardware circuit, or a program for causing a computer to execute such processing may be executed by a user via a communication line such as the Internet. Or the program may be recorded on a computer-readable recording medium such as a CD-ROM (Compact Disc-Read Only Memory) and provided to the user.
[0082]
(Modification 5)
Further, in the above-described embodiment, the present invention is applied to a construction method in which after newly constructing the ground, an index relating to the quality of the ground is measured at a plurality of points on the ground, and a quality nonconforming area is specified based on the measured values. Although the case of application has been described, when performing maintenance or the like of the ground that has already been constructed and used, for the ground concerned, an index is actually measured at a plurality of points as in the above embodiment, and the non-conforming area is determined from the measured value. It is also possible to determine the necessity of maintenance by referring to the result, and determine the content of maintenance if necessary.
[0083]
【The invention's effect】
As described above, according to the first aspect of the present invention, it is possible to determine the quality over the entire ground without performing time-consuming, labor-intensive and expensive work such as actually measuring an index at many points. To play.
[0084]
According to the second aspect of the present invention, it is possible to more accurately determine the probability that the quality at an arbitrary point on the ground does not satisfy the allowable condition, and it is possible to more accurately specify a quality nonconforming area. .
[0085]
Further, according to the third aspect of the present invention, it is possible to determine the quality over the entire ground without performing time-consuming, labor-intensive and expensive work such as actually measuring the index at many points.
[0086]
Further, according to the invention according to claim 4, it is possible to more accurately determine the probability that the quality of an arbitrary point on the ground satisfies the permissible condition, and it is possible to more accurately specify the quality nonconforming area.
[0087]
According to the fifth aspect of the invention, since the actual measurement of the index is performed again on the specified nonconforming area, it is possible to more accurately determine whether or not the quality of the nonconforming area is defective. To play.
[0088]
Further, according to the invention of claim 6, there is an effect that it is possible to more accurately specify a nonconforming area.
[0089]
Further, according to the invention of claim 7, since the actual measurement of the index is performed again for the specified non-conforming area, it is possible to more accurately determine whether or not the quality of the non-conforming area is defective. To play.
[0090]
Further, according to the invention according to claim 8, there is an effect that it is possible to more accurately specify a nonconforming area.
[0091]
Further, according to the ninth aspect of the present invention, it is possible to determine the quality over the entire ground without performing time-consuming, labor-intensive and expensive work such as actually measuring the index at many points.
[0092]
According to the tenth aspect of the present invention, it is possible to determine the quality of the entire ground without performing time-consuming, labor-intensive, and expensive work such as actually measuring the index at many points.
[0093]
According to the eleventh aspect of the present invention, it is possible to more accurately determine the quality of the entire constructed ground without performing time-consuming, labor-intensive and expensive work such as actually measuring the index at many points. To play.
[0094]
Further, according to the twelfth aspect of the present invention, it is possible to determine the quality of the entire constructed ground without performing time-consuming, labor-intensive and expensive work such as actually measuring the index at many points.
[0095]
According to the thirteenth aspect, it is possible to determine the quality over the entire ground without performing time-consuming, labor-intensive and expensive work such as actually measuring the index at many points, and the quality may be poor. Since the repair is performed on a high-quality area, it is possible to achieve a high-quality ground construction.
[0096]
Further, by causing a computer to execute the program according to claim 14, it is possible to determine the quality of the entire ground without performing time-consuming, labor-intensive and expensive work such as actually measuring an index at many points. To play.
[0097]
Further, by causing a computer to execute the program according to claim 15, it is possible to determine the quality over the entire ground without performing time-consuming, labor-intensive and expensive work such as actually measuring an index at many points. To play.
[Brief description of the drawings]
FIG. 1 is a flowchart showing a procedure of a ground construction method involving a ground quality determination method according to an embodiment of the present invention.
FIG. 2 is a diagram showing an example of a position of a point at which an index relating to the ground is actually measured in order to determine the quality of the constructed ground.
FIG. 3 is a block diagram showing a functional configuration of a PC used in the ground quality determination method.
FIG. 4 is a diagram illustrating positions of a point where an index related to the ground for determining the quality of the constructed ground is actually measured, and an estimated point where the index and the like are estimated.
FIG. 5 is a diagram showing a relationship between an index value and a position obtained by actual measurement of an index performed in advance in the ground quality determination method and a variance of the actually measured value.
FIG. 6 is a graph showing an autocorrelation function which is a relationship between an autocorrelation coefficient and a position obtained from actual measurement of an index performed in advance.
FIG. 7 is a diagram illustrating a relationship between an estimated value and an estimated error of an index obtained by using a variance of the measured value and an autocorrelation coefficient, and a position.
FIG. 8 is a diagram illustrating an estimated value of an index and an error distribution at a certain point, and is a diagram schematically illustrating a technique for obtaining a probability that the index falls below a lower limit of quality at the point at the point.
FIG. 9 is a diagram illustrating an example of an output result indicating the presence / absence of a quality nonconforming area and the area range according to the ground quality determination method.
FIG. 10 is a diagram showing a quality status of the entire ground after the repair.
[Explanation of symbols]
100 PC
110 Actual measurement value acquisition unit
120 Estimated point input section
130 Estimator
140 Space fluctuation characteristic storage unit
150 Non-conforming area specifying unit

Claims (15)

An actual measurement step of actually measuring an index relating to ground quality at a plurality of points on the ground to be determined,
Obtain the probability that the index at a point other than the actual measurement point does not satisfy the predetermined index value condition based on the index actually measured in the actual measurement step, and specify a region where the probability is larger than a predetermined value as a quality nonconforming region And determining the quality of the ground. In the specifying step, the estimated value of the index and the estimated error standard deviation are obtained based on the variance of the actually measured value and the autocorrelation coefficient obtained in advance, and from the obtained estimated value of the index and the estimated error standard deviation, The method according to claim 1, wherein a probability that the index at the point (1) does not satisfy a predetermined index value condition is determined. An actual measurement step of actually measuring an index relating to ground quality at a plurality of points on the ground to be determined,
The probability that the index at a point other than the actual measurement point satisfies a predetermined index value condition is determined based on the index actually measured in the actual measurement step, and a region where the probability is smaller than a predetermined value is specified as a quality nonconforming region. And a specific step. In the specifying step, the estimated value of the index and the estimated error standard deviation are obtained based on the variance of the actually measured value and the autocorrelation coefficient obtained in advance, and from the obtained estimated value of the index and the estimated error standard deviation, 4. The ground quality determination method according to claim 3, wherein a probability that the index at the point (a) satisfies a predetermined index value condition is obtained. The ground quality determination method according to claim 1 or 2, further comprising a re-measurement step of actually measuring the index for the quality nonconforming area specified in the specification step. The probability that the index at a point other than the re-measured point does not satisfy the predetermined index value condition based on the index actually measured in the re-measurement step is determined, and the area where the probability is larger than the predetermined value is determined as the quality nonconforming area. 6. The ground quality determination method according to claim 5, further comprising a re-specifying step of specifying as. The ground quality determination method according to claim 3 or 4, further comprising a re-measurement step of actually measuring the index for the quality nonconforming area specified in the specification step. Determine the probability that the index at a point other than the re-measured point satisfies a predetermined index value condition based on the index actually measured in the re-measurement step, and define a region where the probability is smaller than a predetermined value as a quality nonconforming region. The ground quality judgment method according to claim 7, further comprising a re-specifying step for specifying. Acquisition means for acquiring an index relating to ground quality actually measured at a plurality of points on the ground to be determined,
A probability that an index at a point other than the actual measurement point does not satisfy a predetermined index value condition is determined based on the index acquired by the acquisition unit, and a region where the probability is larger than a predetermined value is specified as a quality nonconforming region. A determination unit for determining the quality of the ground. Acquisition means for acquiring an index relating to ground quality actually measured at a plurality of points on the ground to be determined,
Based on the index obtained by the obtaining unit, a probability that an index at a point other than the actual measurement point satisfies a predetermined index value condition is determined, and a region where the probability is smaller than a predetermined value is specified as a quality nonconforming region. A ground quality judging device comprising a specifying means. Construction steps to build the ground,
An actual measurement step of actually measuring an index related to ground quality at a plurality of points on the ground, and a probability that an index at a point other than the actually measured point does not satisfy a predetermined index value condition based on the index actually measured in the actual measurement step, Specifying a region where the probability is larger than a predetermined value as a quality nonconforming region. Construction steps to build the ground,
An actual measurement step of actually measuring an index relating to ground quality at a plurality of points on the ground, and calculating a probability that an index at a point other than the actually measured point satisfies a predetermined index value condition based on the index actually measured in the actual measurement step; A specifying step of specifying an area having a probability smaller than a predetermined value as a quality nonconforming area. 13. The ground construction method according to claim 11, further comprising a repair step of repairing a quality nonconforming area of the ground specified by the specifying step. Computer
Acquisition means for acquiring an index relating to ground quality actually measured at a plurality of points on the ground to be determined,
A probability that an index at a point other than the actual measurement point does not satisfy a predetermined index value condition is determined based on the index acquired by the acquisition unit, and a region where the probability is larger than a predetermined value is specified as a quality nonconforming region. A program characterized by causing the program to function as a specifying means. Computer
Acquisition means for acquiring an index relating to ground quality actually measured at a plurality of points on the ground to be determined,
Based on the index obtained by the obtaining unit, a probability that an index at a point other than the actual measurement point satisfies a predetermined index value condition is determined, and a region where the probability is smaller than a predetermined value is specified as a quality nonconforming region. A program characterized by causing it to function as specifying means.

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